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SAT Math Practice Questions 1-3: Algebra

Question

Which of the following systems of linear equations has no solution?

A.
x = −1
y = −1
B.
y = 5 − 2x
y = −3
C.
y = −3x
y = 5 − 3x
D.
y = 1 − 4x
y = 1 + 4x
Hint :
A system of linear equations has no solution if its graph consists of two parallel lines.

Explanation

A system of linear equations has no solution if its graph consists of two parallel lines because parallel lines never intersect.

Parallel lines have the same slope but different y-intercepts.

SAT Math Practice Questions 1-3: Algebra

Notice that Choices A and B consist of a horizontal line (y = −1 and y = −3) and a line that is not horizontal, so these lines are not parallel. Eliminate Choices A and B.

Choices C and D are both in the form y = b + mx, where b is the y-intercept and m is the slope. Only Choice C has two equations with the same slope and different y-intercepts. Note: y = −3x is equivalent to y = 0 − 3x.

SAT Math Practice Questions 1-3: Algebra

Therefore, the system of linear equations in Choice C has no solution (graph).

(Choice A) The graph of this system consists of a vertical line x = −1 and a horizontal line y = −1. It has exactly one intersection point, so it has exactly one solution (graph).

(Choice B) The graph of this system consists of the horizontal line y = −3 and the line y = 5 − 2x. It has exactly one intersection point, so it has exactly one solution (graph).

(Choice D) The graph of this system consists of two lines with different slopes and the same y-intercept. It has exactly one intersection point, so it has exactly one solution (graph).

Things to remember:

  • A system of linear equations has no solution if its graph consists of two parallel lines because parallel lines never intersect.

  • Parallel lines have the same slope but different y-intercepts.

Question

If the minimum value of r is 16 less than 8 times the value of x, which inequality shows the possible values of r ?

A. r ≤ 8x − 16
B. r ≥ 8x − 16
C. r ≤ 16 − 8x
D. r ≥ 16 − 8x
Hint :
The phrase "less than" means subtraction, and the word "times" means multiplication.

Explanation

It is given that the minimum value of r is 16 less than 8 times the value of x. Therefore, r must be greater than or equal to 16 less than 8 times the value of x.

SAT Math Practice Questions 1-3: Algebra

Now build the expression on the right. The phrase "less than" means subtraction, and the word "times" means multiplication.

SAT Math Practice Questions 1-3: Algebra

Therefore, the inequality that shows the possible values of r is r ≥ 8x − 16.

(Choice A) r ≤ 8x − 16 is incorrect because "r ≤" represents the maximum value of r, instead of the minimum value of r.

(Choice C) r ≤ 16 − 8x may result from the combination of errors described in Choices A and D.

(Choice D) r ≥ 16 − 8x is incorrect because "16 − 8x" represents 8x less than 16, instead of 16 less than 8x.

Things to remember:

  • If the maximum value of a is b, then a must be less than or equal to b (a ≤ b).
  • If the minimum value of a is b, then a must be greater than or equal to b (a ≥ b).

Question

Last week, a nonprofit organization recorded 1,980 items used for meal packs. The equation 4x + 10y = 1,980 represents this situation, where x is the number of snack packs and y is the number of dinner packs. Which of the following is the best interpretation of 10 in this context?

A. There were 10 total items used in snack packs.
B. There were 10 items used per snack pack.
C. There were 10 total items used in dinner packs.
D. There were 10 items used per dinner pack.
Hint :
To determine the best interpretation of 10 in the given context, first use the given information to determine the meaning of 10y.

Explanation

The given equation 4x + 10y = 1,980 represents the sum of the number of items used in snack and dinner packs that is equal to the given total items (1,980). To interpret 10, first find the meaning of 10y.

It is given that there were x snack packs, so 4x must represent the number of items in snack packs.
It is given that there were y dinner packs, so 10y must represent the number of items in dinner packs.

Diagram showing 4 items per snack pack and 10 items per dinner pack

The term 10y represents the number of items in dinner packs recorded by the organization, and the variable y represents the number of dinner packs.

Therefore, 10 must represent the number of items per dinner pack.

Equation breakdown: 10y means 10 items per dinner pack

Therefore, the best interpretation of 10 is "There were 10 items used per dinner pack."

(Choice A) "There were 10 total items used in snack packs" may result from the combination of errors described in Choices B and C.

(Choice B) "There were 10 items used per snack pack" may result from mistaking 10 to represent snack pack items (instead of dinner pack items).

(Choice C) "There were 10 total items used in dinner packs" may result from mistaking 10 to represent all dinner items (instead of items per dinner pack).

Things to remember:

For an equation in the form Ax + By = C, the terms Ax and By are variable amounts whose sum is a total C.

Question

An object, launched from a height of 0 feet, reaches a maximum height of 576 feet 6 seconds after launch. A quadratic function can be used to model the height, in feet, of the object above the ground in terms of time, in seconds, after launch. Based on the model, what is the height, in feet, of the object, 2 seconds after launch?

A. 192
B. 320
C. 432
D. 560
Hint :
The maximum of a quadratic function occurs at the vertex of its parabola. The vertex form of a quadratic function is f(x) = a(x − h)2 + k.

Explanation

It is given that the height of an object in terms of time is modeled by a quadratic function. To find the height of the object 2 seconds after launch, first write an equation for height f(x) in terms of time x.

The object is launched from height 0 and reaches its maximum height of 576 feet at 6 seconds. The maximum of a quadratic function occurs at the vertex of its parabola, so the given model has vertex (6, 576).

SAT Math Practice Questions 1-3: Algebra

The vertex form of a quadratic function is f(x) = a(x − h)2 + k, where (h, k) is the vertex and a is the scale factor. Plug (h, k) = (6, 576) into vertex form.

f(x) = a(x − h)2 + k Vertex form
f(x) = a(x − 6)2 + 576 Plug in (h, k) = (6, 576)

Now find the value of a. The object was launched from a height of 0 feet, so f(x) = 0 when x = 0. Plug these values into f(x) = a(x − 6)2 + 576 and solve to find that a = −16.

Plug a = −16 into the equation for height f(x) in terms of time x.

f(x) = a(x − 6)2 + 576
f(x) = −16(x − 6)2 + 576 Plug in a = −16

Therefore, an equation that defines the given model is f(x) = −16(x − 6)2 + 576.

The height after 2 seconds is equal to f(2), the value of the function f when the time x is 2. Plug x = 2 into f(x) and solve for f(2).

f(x) = −16(x − 6)2 + 576
f(2) = −16(2 − 6)2 + 576 Plug in x = 2
f(2) = −16(16) + 576 Subtract and apply exponent: (2 − 6)2 = (−4)2
f(2) = −256 + 576 Multiply
f(2) = 320 Simplify

Based on the model, the height of the object 2 seconds after launch is 320 feet.

(Choice A) 192 may result from mistaking the function that represents the given scenario to be linear (instead of quadratic).

(Choice C) 432 is the height of the object 3 seconds after launch, but the question asks for the height 2 seconds after launch.

(Choice D) 560 may result from disregarding the scale factor a when attempting to write an equation that represents the given scenario in vertex form.

Things to remember:

  • The maximum or minimum of a quadratic function occurs at the vertex of its parabola.

  • The vertex form of a quadratic function is f(x) = a(x − h)2 + k, where (h, k) is the vertex and a is the scale factor.

Question

A rectangular diploma, shown above, has width 14 inches and length 11 inches and is surrounded by a wooden frame with a width of x inches. If the combined area of the diploma and the frame is 238 square inches, what is the value of x ?

A. 1.5
B. 3
C. 6
D. 14
Hint :

The formula for the area of a rectangle is  A = lw , where  l  is the length and  w  is the width.

Explanation

It is given that a rectangular diploma has a length of 11 inches and a width of 14 inches and that its frame has a width of x inches. It is also given that the combined area of the diploma and frame is 238 square inches.

The formula for the area of a rectangle is  A=lw  is the width. where l is the length and w is the width.   Use the given information to write an expression for the length and width of the framed diploma in terms of x.

Diagram of a diploma (11 by 14 inches) with a frame of width x inches on all sides

The frame extends the length by x inches on both sides, so the framed diploma has a length of 2 x + 11 .
The frame extends the width by x inches on both sides, so the framed diploma has a width of 2 x + 14 .

Substitute these expressions for  l  and  w  and plug the given area of the framed diploma  A = 238 into the area formula to get an equation in terms of x.

Area equation setup: 238 = (2x + 11)(2x + 14)

To solve the resulting quadratic equation, first write the equation in standard form  0 = a x 2 + b x + c .

238 = ( 2 x + 11 ) ( 2 x + 14 )  
238 = 4 x 2 + 28 x + 22 x + 154 Distribute each term in 2 x + 11 to each term in 2 x + 14
238 = 4 x 2 + 50 x + 154 Combine like terms
0 = 4 x 2 + 50 x − 84 Subtract 238 from both sides

To solve the resulting equation, factor by grouping or use the quadratic formula.

Solving the quadratic equation 4x² + 50x − 84 = 0 using the quadratic formula

The value of x represents the width of the frame, so it cannot be negative.  Therefore, the value of x must be 1.5 inches.

Note:  To solve the equation 0 = 4 x 2 + 50 x − 84 , it is also possible to identify the x-intercepts on the graph of y = 4 x 2 + 50 x − 84 .

(Choice B)  3 may result from mistakenly adding only x (instead of 2x) to each dimension and solving 238 = ( x + 11 ) ( x + 14 ) , instead of 238 = ( 2 x + 11 ) ( 2 x + 14 ) .

(Choice C)  6 may result from mistakenly solving 238 = 14 ( 11 + x ) , instead of 238 = ( 2 x + 11 ) ( 2 x + 14 ) .

(Choice D)  14 may result from mistaking 14 (instead of −14) to be a solution to 238 = ( 2 x + 11 ) ( 2 x + 14 ) .

Things to remember:

  • The formula for the area of a rectangle is  A = l w , where  l  is the length and  w  is the width.
  • It is possible to solve any quadratic equation in the form 0 = a x 2 + b x + c  with the quadratic formula:

Quadratic formula: x = [-b ± √(b² - 4ac)] / (2a)

Question

The height of an object above the ground y, in feet, x seconds after it is launched from the ground is represented by a quadratic model. If the object reaches a maximum height of 100 feet 2.5 seconds after being launched, which equation could represent this model?

A. y = −16(x + 2.5)2 + 100
B. y = −16(x − 2.5)2 + 100
C. y = −16(x + 100)2 + 2.5
D. y = −16(x − 100)2 + 2.5

Explanation

Notice that each choice is in vertex form  y = a ( x − h ) 2 + k , where (h, k) is the vertex and the scale factor a is −16.  Therefore, it represents a parabola that opens downward and the vertex is a maximum.

It is given that x represents the time, in seconds, after the object is launched from the ground and that y represents the height, in feet, of the object above the ground.

Graph of a downward-opening parabola with vertex at (2.5, 100), representing projectile motion

It is also given that the object reaches a maximum height of 100 feet, 2.5 seconds after being launched, so the vertex is (2.5, 100).

Vertex form equation with a = −16, h = 2.5, k = 100 highlighted

Plug (h, k) = (2.5, 100) into  y = − 16 ( x − h ) 2 + k  to get an equation that represents this model.

y = − 16 ( x − h ) 2 + k  
y = − 16 ( x − 2.5 ) 2 + 100 Plug in h = 2.5 and k = 100

The equation that represents this model is  y = − 16 ( x − 2.5 ) 2 + 100 .

Question

SAT Math Practice Questions 7-9: Problem-Solving and Data Analysis

The dot plot represents the 8 values of a data set with a mean value of p and a median value of q. The value of 11 is removed to create a new data set of 7 values with a mean value of x and a median value of y. Which statement best compares the mean values and the median values of the two data sets?

A. p = x and q < y
B. p = x and q > y
C. p < x and q = y
D. p > x and q = y

Hint :

Notice that the removed value of 11 is less than all the values in the original data set.

Data in a dot plot are ordered numerically.

Explanation

A dot plot shows how exact values are distributed over a range of data.  On a dot plot, each dot represents a value in a data set.  The question states that the value of 11 is removed to create a new data set.

Original dot plot showing values: 11, 13, 14, 15, 15, 16, 17, 18

Each choice compares the means and the medians of the two data sets, so analyze each of these measures.

Mean

If a value is added to or removed from a data set, the mean changes unless the value added or removed is equal to the mean.

It is given that the value 11 is removed from the data set.  Notice that 11 is less than all the other values in the original data set.

Highlight showing 11 is the smallest value in the original data set

The value 11 must be less than the mean of the original data set.  When a value less than the mean is removed from a data set, the mean of the data set increases.

Therefore, the original mean (p) must be less than the new mean (x): p < x.

Median

The median of a numerically ordered data set with an odd number of values is the middle value, and the median of a data set with an even number of values is the average of the middle two values.

Data in a dot plot are ordered numerically.  The original data set has 8 values (even), so the middle two are the 4th and 5th values.  The new data set has 7 values (odd), so the middle is the 4th value.

Original: 4th and 5th values = 15, 15 → median 15; New: 4th value = 15 → median 15

The middle two values of the original data are 15 and 15, so the median of the original data is 15.
The middle value of the new data set is 15, so the median of the new data is 15.

Therefore, the original median (q) is equal to the new median (y): q = y.

Therefore, the statement that best compares the mean values and the median values of the two data sets is:

p < x and q = y

Note:  Although not necessary to answer the question, it is possible to calculate and compare the mean of each data set.

Things to remember:

  • If a value is removed from a data set and the value is:

    • less than the mean, the mean will increase.

    • greater than the mean, the mean will decrease.

  • The median of a data set with an odd number of values is the middle value, and the median of a data set with an even number of values is the average of the middle two values.

Question

SAT Math Practice Questions 7-9: Problem-Solving and Data Analysis

A geologist has collected four samples of Earth's crust. The table shows the percentage of aluminum in each of the four samples. The geologist collects a fifth sample with an aluminum percentage of 7.7. Which of the following correctly describes how the mean and the median aluminum percentage will change when the fifth sample is added?

A. The mean and the median will decrease.
B. The mean and the median will increase.
C. The mean will decrease, and the median will remain the same.
D. The mean will increase, and the median will remain the same.

Hint :

Notice that the aluminum percentage of the added sample (7.7) is less than all the values in the original collection of samples.

The median of a data set with an odd number of values is the middle value, and the median of a data set with an even number of values is the average of the middle two values.

Explanation

The question asks about the mean and the median aluminum percentage if a fifth sample of Earth's crust is added to the geologist's data.

Consider the percentages of the 4 samples to be the original data set and those of the 5 samples to be a new data set.  Compare the means and medians separately.

mean

If a value is added to or removed from a data set, the mean changes unless the value added or removed is equal to the mean.

It is given that a fifth sample with an aluminum percentage of 7.7 is added to the data set.  Notice that 7.7 is less than all the other aluminum percentages among the original 4 samples.

Original data set: 8.3, 8.1, 8.0, 7.9 — all greater than 7.7

Therefore, 7.7 must be less than the mean of the original data set.  When a value less than the mean is added to a data set, the mean of the data set decreases.

median

The median of a numerically ordered data set with an odd number of values is the middle value, and the median of a data set with an even number of values is the average of the middle two values.

The original data set has 4 values (even), and the new data set has 5 values (odd).  Notice that the values are not ordered numerically, so order the original and new values from least to greatest.

Original ordered: 7.9, 8.0, 8.1, 8.3 → median (8.0 + 8.1)/2 = 8.05; New ordered: 7.7, 7.9, 8.0, 8.1, 8.3 → median 8.0

The middle two values of the original set are 8.0 and 8.1, so the median is their average:  8.0   +   8.1 2 = 8.05 .
The middle value of the new set is 8.0, so the median is 8.0.

The median decreases as a result of the added sample.

Therefore, the statement that best describes how the mean and the median aluminum percentage will change when the fifth sample is added is:

The mean and the median will decrease.

Note:  Although not necessary to answer the question, it is possible to calculate and compare the mean of each data set.

Things to remember:

  • If a value is added to a data set and the value is:
    • less than the mean, the mean will decrease.
    • greater than the mean, the mean will increase.
  • The median of a data set with an odd number of values is the middle value, and the median of a data set with an even number of values is the average of the middle two values.

Question

If 180% of r is n, which expression represents r in terms of n ?

A.
5n 9
B.
9n 5
C.
n 180
D.
180n

Hint :

A percent of a number is equal to the percent as a fraction (or a decimal) multiplied by that number.

Explanation

To find the expression that represents r in terms of n, first use the given information to write an equation in terms of r and n.

It is given that 180% of r is n.  A percent of a number is equal to the percent as a fraction multiplied by that number.  Rewrite 180% as  180 100 , then multiply by r and set the result equal to n.

Percent equation: (180/100) × r = n

Now isolate r to get an expression for r in terms of n.

180 100 ⋅ r = n  
180 r = 100 n Multiply by 100 on both sides
r = 5 n 9 Divide by 180 on both sides and simplify

Therefore, the expression that represents r in terms of n is  5 n 9 .

(Choice B)   9 n 5  is an expression for 180% of n, but the question states that 180% of r is n.

(Choice C)   n 180  may result from the misconception that 180% is equivalent to the value 180 (instead of  180 100 ).

(Choice D)   180 n  may result from the combination of errors described in Choices B and C.

Things to remember:

  • To find p% of a number, multiply the number by  p 100 .
  • To express a variable in terms of the other variables in an equation, isolate that variable so that it appears by itself on one side of the equation.

Question

The surface area of a cube is 96 square centimeters. What is the volume, in cubic centimeters, of the cube?

A. 16
B. 24
C. 48
D. 64
Hint :

A cube is a rectangular prism with 6 congruent square faces.

First use the formula for the surface area of a cube to solve for the edge length.

Explanation

A cube is a rectangular prism with 6 congruent square faces, so its edges are all the same length.  The formula for the volume of a cube with edge length s is V = s3 (proof).

The formula for the surface area (SA) of a cube with edge length s is SA = 6s2 (proof).

Diagram of a cube with edge length s, showing surface area and volume formulas

Use the given surface area (96) to solve for the edge length s, and then calculate the volume of the cube.

Plug SA = 96 into the formula for the surface area of a cube and solve for s.

SA = 6s2 Surface area of a cube
96 = 6s2 Plug in SA = 96
16 = s2 Divide by 6 on both sides
4 = s Take the positive square root (length is positive)

The edge length of the cube is 4 centimeters.

Plug s = 4 into the formula for the volume of a cube.

V = s3 Surface area of a cube
V = 43 Plug in s = 4
V = 64 Apply the exponent: 43 = 4 ∙ 4 ∙ 4

The volume of the cube is 64 cubic centimeters.

(Choice A)  16 may result from mistaking the formula for the volume V of a cube to be s2 (instead of V = s3).

(Choice B)  24 may result from mistaking the formula for the volume V of a cube to be 6s (instead of V = s3).

(Choice C)  48 may result from incorrectly evaluating 43 as 4 ∙ 4 ∙ 3 (instead of 4 ∙ 4 ∙ 4).

Things to remember:

  • The formula for the volume V of a cube with edge length s is V = s3.
  • The formula for the surface area SA of a cube with edge length s is SA = 6s2.

Question

Angle P has a measure of  7 π 12  radians.  If the measure of angle Q is  3 π 4  radians greater than the measure of angle P, what is the measure of angle Q, in degrees?

A. 30
B. 105
C. 135
D. 240

Hint :

The angle measure of a complete circle is 360°, or 2π radians.

For any angle, the ratio of its degree measure to 360° must equal the ratio of its radian measure to 2π radians.

Explanation

An angle can be measured in radians or degrees. A complete circle contains 2π radians, or 360°.

Diagram illustrating angle measures in radians and degrees, showing a full circle with 2π radians and 360°

It is given that the measure of angle Q is 3 π 4 radians greater than that of angle P, and that the measure of angle P is 7 π 12 radians. Add to find the radian measure of angle Q.

To add fractions, first rewrite them with a common denominator.

Step-by-step addition of radian measures: 7π/12 + 3π/4 using common denominator 12

The radian measure of angle Q is 16 π 12 radians. Let d be the equivalent degree measure and set up a proportion.

For any angle, the ratio of the degree measure to 360° must equal the ratio of the radian measure to 2π radians. Plug in the given radian measures and then solve the proportion.

Proportion setup: d/360 = (16π/12)/(2π) for converting radians to degrees

Now solve for d.

Proportion setup: d/360 = (16π/12)/(2π) for converting radians to degrees

The measure of angle Q is 240 degrees.

Note: It is also possible to first find the degree measure for each angle, and then add 105 and 135 to find that the degree measure of angle Q is 240.

(Choice A) 30 may result from finding the degree measure that is 3π4 radians less than (instead of greater than) the measure of angle P.

(Choice B) 105 is the degree measure that is equivalent to 7π12 radians, but angle Q is 3π4 radians greater than 7π12 radians.

(Choice C) 135 is the degree measure that is equivalent to 3π4 radians, but angle Q is 3π4 radians greater than 7π12 radians.

Things to remember:

The ratio of the degree measure of an angle to 360° must be equal to the ratio of the radian measure of the same angle to 2π radians.

To convert from radians to degrees, it is also possible to multiply by a conversion factor that cancels the old unit and replaces it with the new unit.

A conversion factor is a fraction that is equivalent to 1, so it changes only the units and not the quantity. Use a fraction with the new unit in the numerator and the old unit in the denominator.

Final calculation using conversion factor: (16π/12) × (180/π) = 240 degrees

The radian measure of angle Q is 16 π 12 (see main explanation). To convert from radians to degrees, multiply by a fraction with degrees in the numerator and the equivalent number of radians in the denominator.

The conversion is 360° = 2π radians, so the conversion factor is 360 ° 2 π radians . Cancel radians and simplify to find that 16 π 12 radians is equivalent to 240 degrees.

Final calculation using conversion factor: (16π/12) × (180/π) = 240 degrees

The measure of angle Q is 240 degrees.

Note: It is possible to use an equivalent conversion 180° = π radians when converting between degrees and radians.

Things to remember:

  • To convert from one unit to another, multiply by a conversion factor that cancels the old unit and replaces it with the new unit.
  • The conversion between degrees and radians is 360° = 2π radians or 180° = π radians.

Question

A triangle has interior angles with measures in the ratio of 1:2:3. If the longest side length of the triangle is 18, what is the length of the shortest side?

A. 6
B. 9
C. 9√2
D. 9√3
Hint :

Use the ratio 1:2:3 to write the degree measures of the three angles as 1k, 2k, and 3k, where k is the measure of the smallest angle.

Then set the sum of these angles equal to 180° because the measures of the interior angles of a triangle add to 180°.

Explanation

Use the ratio 1:2:3 to write the degree measures of the three angles as 1k, 2k, and 3k, where k is the measure of the smallest angle.

The interior angles of a triangle add to 180°, so set the sum of the three angle measures equal to 180 and solve for k.

1k + 2k + 3k = 180 Interior angles in a triangle sum to 180°
6k = 180 Combine terms on the left
k = 30 Divide both sides by 6 to solve for k

The measure of the 1k angle is 30°.  Plug k = 30° into 2k and 3k to find that the measures of the other two angles are 2k = 60° and 3k = 90°.  Therefore, the triangle is a 30°-60°-90° triangle.

In a right triangle, the longest side is the hypotenuse.  The given length of the longest side is 18, so the length of the hypotenuse is 18.  The hypotenuse is twice the length of the shorter leg in a 30°-60°-90° triangle.

30-60-90 triangle with sides labeled x, x√3, 2x and hypotenuse 18

Set the hypotenuses equal to calculate the length of the shortest side x.

18 = 2x Set the hypotenuses equal
9 = x Divide both sides by 2 to solve for x

Therefore, the hypotenuse (18) is twice the length of the shorter side.  Divide 18 by 2 to find that the length of the shorter side is 9.

(Choice A)  6 may result from incorrectly setting 1:2:3 equal to the ratio of side lengths, instead of angle measures.

(Choice C)   9 2  may result from mistakenly dividing the length of the hypotenuse by  2 , instead of 2.  This may result from mistaking the triangle to be a 45°-45°-90° right triangle, instead of a 30°-60°-90° right triangle.

(Choice D)   9 3  is the length of the longer leg of the right triangle.

Things to remember:

  • The measures of the interior angles of a triangle add to 180°.
  • The shortest side of a triangle is opposite the smallest angle in that triangle.  Similarly, the longest side is opposite the largest angle in that triangle.
  • The side lengths of a 30°-60°-90° special right triangle are in the ratio  1 : 3   : 2 .

Passage

SAT Reading & Writing Questions 1-3: Information and Ideas

Researchers in the Netherlands were interested in determining whether age and gender influenced an individual's personal pressure to meet internal expectations. In 2021, these researchers recruited both adolescents and young adults, asking them how often they perceived pressure to meet their own expectations. Interestingly, they found that responses varied greatly depending on the participant's age and gender; for example, ______

Question

Which choice most effectively uses data from the table to complete the example?

A. 21.2% of females ages 12–17 reported frequently perceiving pressure, whereas 11.9% of females in that same age group reported never perceiving pressure.
B. 38.1% of females ages 18–24 reported frequently perceiving pressure as compared with 10.4% of males ages 12–17 who reported frequently perceiving pressure.
C. 48.5% of males ages 12–17 reported occasionally perceiving pressure to meet internal expectations, which is the largest percentage of any of the categories.
D. 31.4% of females ages 18–24 reported regularly perceiving pressure, which is similar to the 29.2% of males ages 18–24 who reported regularly perceiving pressure.

Explanation

Analyze the sentence containing the blank to determine what's being discussed. The correct answer will contain details related to the text and reinforced with information from the table.

Although each answer may accurately describe data in the table, choose the one that is the best example of what the sentence is discussing.

The sentence with the blank states there was a great difference in responses based on the age and the gender (male or female) of the participants. Therefore, the correct answer must give an example of this difference.

Because it shows the highest percentage difference—almost 30%—between females and males in different age groups, the correct answer is that 38.1% of females ages 18–24 reported frequently perceiving pressure as compared with 10.4% of males ages 12–17 who reported frequently perceiving pressure.

(Choice A) This answer is incorrect because it doesn't show a difference in responses depending on gender; it shows only a difference in the perceived pressure within the same age group of females.

(Choice C) This answer mentions only the percentage of one group of males, so it doesn't show a difference in responses based on either age or gender.

(Choice D) Although this answer references a difference in gender, there's not a big difference—about 2%—between 31.4% and 29.2%.

Things to remember:
Examine the sentence with the blank to determine what information from the table completes it.

Passage

Fashion in cinema communicates background information about a film's setting to its intended audience. For instance, African American costume designer Ruth E. Carter integrates traditional African tribal styles, fabrics, and accessories with more futuristic designs to depict settings that are not only rich in history but also technologically advanced. But understanding the historical significance of the traditional fashions may require study of the tribes from which these styles originated. Consequently, _______

Question

Which choice most logically completes the text?

A. many moviegoers are less likely to appreciate the importance of Carter's traditional costume elements than her futuristic designs.
B. some of Carter's costume designs reveal more about the setting than they do the characters.
C. Carter's costumes have been the most successful in recent years in blending traditional and futuristic designs.
D. film costume historians suggest that Carter's traditional designs have been her best work.

Explanation

Transitions connect the ideas in surrounding sentences.

Determine the meaning of the conjunctive adverb that completes the text. Then, use its meaning to relate the information in the previous sentence with the answer that must follow.

"Consequently" indicates that the correct answer will include a logical conclusion based on previous information. In the preceding sentence, the text claims that people without knowledge of African tribes may not understand the traditional designs' historical importance.

Therefore, the answer that best offers a consequence (result) of this idea states that many moviegoers are less likely to appreciate the importance of Carter's traditional costumes than her futuristic designs.

(Choice B) The text notes Carter's designs reveal details of the setting in the films she works on, but you cannot draw a conclusion from the text about how effectively the costumes reveal details about the setting or the characters.

(Choice C) The text discusses Carter's approach in blending styles but does not discuss whether she has recently been more successful with this approach.

(Choice D) The text does not mention the opinions of film costume historians.

Things to remember:
When completing a sentence that begins with a conjunctive adverb, choose the answer containing ideas that would logically follow based on the relationship the adverb establishes.

Passage

"The Tuft of Flowers" is an early 1900s poem by Robert Frost. In the poem, the speaker discusses a sense of solitude followed by a personal reflection: ______

Question

Which quotation from "The Tuft of Flowers" most effectively illustrates the claim?

A. "I went to turn the grass once after one / Who mowed it in the dew before the sun. / The dew was gone that made his blade so keen / Before I came to view the leveled scene."
B. "A leaping tongue of bloom the scythe had spared / Beside a reedy brook the scythe had bared. / I left my place to know them by their name, / Finding them butterfly weed when I came."
C. "And dreaming, as it were, held brotherly speech / With one whose thought I had not hoped to reach. / 'Men work together,' I told him from the heart, / 'Whether they work together or apart.'"
D. "But he had gone his way, the grass all mown, / And I must be, as he had been,—alone, / 'As all must be,' I said within my heart, / 'Whether they work together or apart.'"

Explanation

Find the quote from the poem that matches the claim: the speaker discusses a sense of solitude followed by personal reflection.

"But he had gone his way, the grass all mown, But the other worker had left after mowing the grass,
And I must be, as he had been,—alone, And I was left by myself like he had been,
'As all must be,' I said within my heart, And I thought to myself, "All people are alone,"
'Whether they work together or apart.'" "No matter whether they work alongside someone or by themselves."

The speaker mentions being alone, which shows a sense of solitude (aloneness; isolation). His personal reflection is his thought to himself that everybody is alone even when working with others. Because it contains the claim's idea that a sense of solitude is followed by a personal reflection, the right answer is Choice D.

(Choices A, B, and C) The speaker offers personal reflections in all of these lines, but despite the fact that he is the only person there, he doesn't express feelings of solitude in any of them. Therefore, none of these answers support the claim.

  • Choice A: These lines indicate the speaker's realization that the mower had been there earlier before he arrived.

  • Choice B: These lines indicate that the speaker notices some flowers that the mower left, and he identifies them as butterfly weed.

  • Choice C: These lines show the speaker imagining what he would say to the mower about brotherhood.

Things to remember:
Paraphrase each set of lines to determine which ones contain the ideas referred to by the question's claim.

Passage

Navajo filmmaker Sydney Freeland ______ a television newscast's past characterization of Gallup, New Mexico, as "Drunk Town, USA": this denial is clear in her movie Drunktown's Finest, which tells the stories of three non-alcoholic Navajo Native Americans living on an Indian reservation bordering this town.

Question

Which choice completes the text with the most logical and precise word or phrase?

A. rejects
B. broadcasts
C. prophesies
D. retracts

Explanation

Look for wording in the text that indicates the best answer.

The information after the colon supports the idea that comes before it. The words "this denial" support Freeland's idea about Gallup, New Mexico, not being accurately characterized as "Drunk Town, USA." In response, her film tells the stories of three Navajo Native Americans who live in the area but who are not drunks.

Rejects = refuses to accept. (Ex. Maribel rejects any negative comments about her ancestors.) Because refusing to accept something is a type of denial, the most logical and precise word to complete the text is rejects.

(Choice B) Broadcasts = makes widely known. (Ex. The politician broadcasts his opponent's flaws.) The text indicates with "this denial" that Freeland doesn't agree with the newscast's portrayal of the town, so she would have no motivation to make it widely known.

(Choice C) Prophesies = predicts a future occurrence. (Ex. The fortune teller prophesies that I will find love this year.) The text makes it clear that the newscast's characterization of the town was released in the past, so Freeland would have no need to predict what the newscast will say.

(Choice D) Retracts = takes back. (Ex. The spokesperson retracts her incorrect statements only when she gets new information.) Because it's the television newscast, not Freeland, who claims that Gallup is "Drunk Town, USA," she can't be the one to take it back. Instead, she counters the claim with a film offering an alternate perspective.

Things to remember:
Find wording in the text that offers a clue to the right answer.

Passage

The following text is from Willa Cather's 1905 short story "Paul's Case."

Paul was tall for his age and very thin, with high, cramped shoulders and a narrow chest. His eyes were remarkable for a certain hysterical brilliancy, and he continually used them in a conscious, theatrical sort of way, peculiarly offensive in a boy. The pupils were abnormally large, as though he were addicted to belladonna, but there was a glassy glitter about them which that drug does not produce. When questioned by the principal as to why he was there, Paul stated, politely enough, that he wanted to come back to school.

Question

Which choice best states the function of the underlined sentence in the text as a whole?

A. It transitions to the character description in the sentence that follows.
B. It creates a contrast with the description in the previous sentence.
C. It continues the previous sentence's description of a character.
D. It introduces a setting that is described in the sentence that follows.

Explanation

To identify the function of a sentence, examine the other sentences in the text and see how they are related.

SAT Reading passage with underlined sentence describing Paul's eyes in detail

The underlined sentence indicates that Paul's pupils are "abnormally large" with a "glassy glitter." Because the previous sentence also describes Paul's eyes as having a "hysterical brilliancy," the underlined sentence continues the previous sentence's description of the character.

(Choice A) A transition shows the relationship between two sentences, but the description of Paul's eyes as large and glittering does not establish a connection between his appearance as described in the sentence before it and the politeness that is shown in the one after it.

(Choice B) The "brilliancy" of Paul's eyes in the previous sentence and their "glassy glitter" in the underlined sentence provide similar descriptions.

(Choice D) The underlined sentence only describes Paul's eyes in more detail. However, Paul's appearance doesn't introduce the school setting that is implied in the following sentence.

Things to remember:
Evaluate every sentence in the text to determine the purpose of a sentence.

Passage

White sharks, along with only 34 species of fish, can warm their muscles, a seemingly insignificant trait that evolved in less than 0.1% of fish. However, because muscles become more powerful when they are warm, some scientists hypothesize that this ability isn't ______; rather, the greater power from warmed muscles provides important increases in speed and travel distance, making these fish better hunters and allowing them more feeding and reproduction opportunities.

Question

Which choice completes the text with the most logical and precise word or phrase?

A. persistent
B. practicable
C. consequential
D. trivial

Explanation

Identify words in the text that provide clues to which answer best fits what's being discussed.

The first sentence states that a fish's ability to warm its muscles is "seemingly insignificant" (not important).  The next sentence, however, presents the opposite idea, explaining that warmed muscles provide an important benefit—"greater power" that makes these fish "better hunters."

Despite how it seems, an ability that gives fish advantages in feeding and reproduction is significant.  However, the word "isn't" (is not) before the blank indicates that the missing word describing their ability must mean the opposite of "significant."  Because it means not significant, the correct answer is trivial.

Carefully note the wording before a blank. Words like "not" indicate that the missing word will express the opposite of what the text describes.

(Choice A)  "Persistent" means relentless or lasting without change.  The text doesn't discuss whether the ability of some fish to warm their muscles changes over time, so this statement isn't supported by the text.

(Choice B)  "Practicable" means able to be used.  The text states that 35 fish species ARE able to warm their muscles to improve their hunting and travel distances.

(Choice C)  "Consequential" means important or significant.  However, it would be incorrect to say the ability to warm their muscles isn't consequential because the text explains that muscle-warming has important consequences for their feeding and reproduction.

Things to remember:
Use the clues provided by the text to find the answer that best fits with the context.

Passage

Many animals have developed unique defenses to avoid being eaten by predators. The Australian bombardier beetle (Pheropsophus verticalis), ______ can deter would-be attackers by releasing a rapid burst of hot, noxious fluid from its abdomen.

Question

Which choice completes the text with the most logical transition?

A. despite this,
B. however,
C. for instance,
D. therefore,

Explanation

Determine how the idea in the second sentence relates to what's discussed in the first sentence. Then, select a transition that shows that relationship.

SAT Writing question with two sentences and transition options: 'For instance,' 'Despite this,' 'However,' 'Therefore'

"For instance" is used to indicate an example that clarifies or supports a previous assertion. In this case, the first sentence asserts that animals use "unique defenses" to keep from being eaten. The second sentence provides an example of such a defense: "releasing a rapid burst of hot, noxious fluid."

For instance, then, is the best transition to show the relationship between these two sentences.

(Choice A) "Despite this" means "nonetheless" or "nevertheless" and can introduce an idea that may be unexpected because it isn't based on previously stated information. Rather than being unexpected, the "noxious fluid" is an example of "unique defense."

(Choice B) "However" is used to show an idea that contrasts with one previously presented. Because the "noxious fluid" is an example of "unique defenses," the ideas are similar, so "however" wouldn't accurately show their relationship.

(Choice D) "Therefore" shows a conclusion based on a previous statement. The fact that the beetles release "noxious fluid" isn't a conclusion that can be drawn from the fact that some animals have "unique defenses." Rather, it is a specific example of such a defense.

Things to remember:
The best transition to connect two sentences is the one that accurately indicates how their ideas are related.

Passage

In the 1970s, US ecologist Gene Likens found that harmful acid rain was caused by emissions of nitrogen and sulfur oxides from fossil fuel combustion. His work was instrumental in efforts to curb these emissions in the US. _____ it led to the 1990 legislation that set a national cap on nitrogen and sulfur oxide emissions from power plants.

Question

Which choice completes the text with the most logical transition?

A. Nevertheless,
B. In particular,
C. On the other hand,
D. Previously,

Explanation

Compare the ideas before and after the blank to determine how they are related.  Then, choose the transition that best expresses that relationship.

His work was instrumental in efforts to curb these emissions in the US. _____ it led to the 1990 legislation that set a national cap on nitrogen and sulfur oxide emissions from power plants.

The sentence before the blank makes the general claim that Likens's work was important in limiting certain fossil fuel emissions.  The sentence after the blank identifies a specific outcome from his work:  A law was passed to set a limit on emissions.  Thus, the sentence before the blank contains a general claim, and the sentence after provides a specific example supporting that claim.

The transition "in particular" introduces a specific example of a previous idea.  Therefore, in particular, is correct.

(Choices A, C, and D)  These choices don't express the transition from a general claim to a specific example.

  • Choice A:  "Nevertheless" shows contrast with a previous idea.  (Ex. The hike was exhausting.  Nevertheless, it was worth it for the view.)

  • Choice C:  "On the other hand" expresses an alternative or opposing idea.  (Ex. Traveling can be stressful.  On the other hand, it can provide enriching experiences.)

  • Choice D:  "Previously" indicates something that happened at an earlier time.  (Ex. This summer, I flew on an airplane.  Previously, I had always traveled by car.)

Things to remember:
Compare the ideas around the blank to determine the relationship between them.  Select the transition that expresses that relationship.

Passage

In his monumental exhibition The Weather Project, Danish Icelandic artist Olafur Eliasson creates a deceptively simple illusion that is both thought-provoking and humbling. _____ as visitors see themselves reflected alongside the vast sun in the mirrored ceiling, they are prompted to ponder their relationship with the natural world and to consider how insignificant they are in relation to the magnificent sky.

Question

Which choice completes the text with the most logical transition?

A. Besides,
B. Regardless,
C. Indeed,
D. However,

Explanation

Compare the information provided before and after the blank to determine the relationship between the two sentences. Then, choose the transition word that expresses that relationship.

The first sentence introduces an art exhibition, The Weather Project, and claims that it is "both thought-provoking and humbling." The second sentence provides details to support this idea by describing how the artwork achieves this effect: viewers "ponder their relationship with the natural world" (thought-provoking) and "consider how insignificant they are" (humbling).

As a transition, "indeed" introduces information that emphasizes and supports a preceding idea. Because the second sentence supports the ideas stated in the first, indeed, is correct.

(Choices A, B, and D) None of these words introduce information that supports a previous idea.

  • Choice A: "Besides" introduces new information that adds to the previous idea but goes in a different direction. (Ex. I'm not going to the party because it starts too late. Besides, I won't know anyone there.)
  • Choice B: "Regardless" indicates that the following statement is true despite the ideas in the previous statement. (Ex. The weather forecast predicted rain. Regardless, we decided to go hiking.)
  • Choice D: "However" signals a contrast. (Ex. The team played well. However, they still lost the game.)

Things to remember:
Identify the relationship between sentences and select the transition that reflects that relationship.

Passage

In 2020, an international team of astronomers led by Jane Greaves reported that the Atacama Large Millimeter/submillimeter Array (ALMA) helped them detect the presence of phosphine in the atmosphere of Venus. A cosmically rare (but, as it turns out, terrestrially common) molecule, ______

Question

Which choice completes the text so that it conforms to the conventions of Standard English?

A. which could indicate possible life on Venus, a level of approximately 20 parts per billion (ppb) of phosphine was found.
B. a level of approximately 20 parts per billion (ppb) of phosphine, which could indicate possible life on Venus, was found.
C. finding phosphine at a level of approximately 20 parts per billion (ppb) could indicate possible life on Venus.
D. phosphine was found at a level of approximately 20 parts per billion (ppb), which could indicate possible life on Venus.

Explanation

Rule: When a phrase that describes a noun or pronoun appears at the start of sentence before a comma, the noun or pronoun being described should directly follow.

Because the introductory phrase is an appositive, choose the answer that begins with a noun that could be described by that appositive.

Graph of a downward-opening parabola with vertex at (2.5, 100), representing projectile motion

The first sentence says that astronomers found phosphine on Venus. The next sentence begins with the appositive that refers to a “cosmically rare… molecule.” Because the appositive describes a molecule, the correct answer must begin with a noun that could be a molecule.

The only possible molecule in the text is phosphine, so the answer is phosphine was found at a level of approximately 20 parts per billion (ppb), which could indicate possible life on Venus.

(Choices A, B, and C) None of these answers begin with a noun that could be referred to as "a cosmically rare…molecule."

Choice A: Begins with “which,” a relative pronoun that further describes the molecule but doesn't name the noun being described.

Choice B: The "level" of parts per billion is a noun, but it isn't a "molecule."

Choice C: "Finding" in this answer is a gerund, so it functions as a noun; however, since it refers to an action rather than a "molecule," it isn't the correct word to follow the introductory appositive.

Things to remember:
When the introductory information is an appositive, the first noun after the comma must be what is referred to by that appositive.

Passage

In his analysis of Matvey Levenstein's 2024 collection of paintings titled Zone, art historian Alex Grimley emphasizes the theme of distance. According to Grimley, the distance evoked by the pieces does not represent irony or ______ with soft edges and blurred lines that create a sense of otherworldliness, Zone calls to mind distant memories just beyond the viewer's present grasp.

Question

Which choice completes the text so that it conforms to the conventions of Standard English?

A. detachment
B. detachment; rather,
C. detachment,
D. detachment, rather,

Explanation

Rule:  Semicolons can separate consecutive independent clauses in the same sentence, and a transition word may be placed between clauses separated by a semicolon.

Identify the clauses surrounding the blank by locating the subjects and main verbs.  Then, choose the answer with punctuation and wording that correctly separates the clauses.

SAT Writing question with blank between two independent clauses requiring semicolon and transition

The information before the blank contains a subject and a main verb and forms an independent clause.  The information after the blank begins with a modifying phrase that leads into another independent clause.

The only answer that provides correct punctuation between the two independent clauses uses a semicolon and a transition word, making detachment; rather, correct.

(Choice A)  This answer has no punctuation between the clauses, which creates a run-on error.

(Choices C and D)  A comma between independent clauses must be followed by a FANBOYS conjunction.  Because there is no FANBOYS conjunction in these choices, each of these creates a comma splice error.

Things to remember:
Independent clauses in the same sentence may be separated by a semicolon, and a transition word may appear between them.

Passage

An important regulatory body that protects public health by overseeing food and medicine in the United States, ______.

Question

Which choice completes the text so that it conforms to the conventions of Standard English?

A. the Food and Drug Administration (FDA) was also responsible for toy safety between 1966 and 1973.
B. toy safety was what the Food and Drug Administration (FDA) was responsible for between 1966 and 1973.
C. 1966 and 1973 were the years between which the Food and Drug Administration (FDA) was also responsible for toy safety.
D. responsibility for toy safety was held by the Food and Drug Administration (FDA) between 1966 and 1973.

Explanation

Rule:  When an appositive phrase describing a noun or pronoun begins a sentence and ends with a comma, the noun or pronoun being described should follow directly afterward.

Note that there is an appositive phrase before the comma that mentions—but does not name—"an important regulatory body."  Because an introductory appositive must be followed by the noun it refers to, select the answer that begins with a noun or pronoun that could be described as a regulatory body.

SAT Writing question with introductory appositive 'an important regulatory body' and answer choices

A regulatory body is a government organization that enforces certain rules and standards.  The only noun in the answer choices that fits that description is "the Food and Drug Administration."

Therefore, this noun must begin the independent clause after the comma, making the correct answer the Food and Drug Administration (FDA) was also responsible for toy safety between 1966 and 1973.

(Choices B, C, and D)  None of these answers begins with a noun that could be considered "an important regulatory body."  "Toy safety," "1966 and 1973," and "responsibility" are not the names of organizations.

Things to remember:
The first noun after an introductory appositive phrase must be the noun that is being described by that introductory information.

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    Tell us your schedule and we'll create a personalized study plan that fits your life. Stay on track without the stress of figuring out what to study next.
  • Score-Predicting Full-Length SAT Mock Exam*
    Take a complete practice exam under real testing conditions and get an estimated SAT score. See where you stand before test day.
  • Expert-Led Video Lessons
    In-house SAT tutors and educators break down tough concepts with clear animations and step-by-step explanations. Finally, understand the topics that confuse you.
  • Study Guide (Print + Digital Book)
    Focused content review that works alongside video lessons and practice questions. Everything you need in one organized place.
  • 400+ Check-for-Understanding Questions
    Understand the basics before jumping into harder SAT-level practice questions. Build a solid foundation first.
  • 300+ Unique Practice Questions in Printed Book
    Get bonus unique exam-style questions that match what you'll see on test day. Every question includes detailed explanations with visuals.

Start your free trial with free SAT practice questions,
perfect for a quick topic review or a full deep dive into the entire exam.

Choose Your Subscription
Peak Performer
360-Day Access + 1 Full-Length Practice Test
$249
Competitive Edge
180-Day Access + 1 Full-Length Practice Test
$199
Power Boost
90-Day Access + 1 Full-Length Practice Test
$149
Fast Track
30-Day Access
$99
Buy Now!

Access Includes

  • 2500+ Exam-style Practice Questions
  • Customizable Quiz Generator
  • Timed Test Simulation
  • Colorful Visual Explanations
  • Step-by-Step Solutions
  • Progress Dashboard
  • Smart Flashcards
  • Digital Notebook

Start your free trial with a free ACT practice questions,
whether you want a quick topic review or a deep dive into the whole test.

Choose Your Subscription
Best Value
360-Day Access + 2 Full Tests (1 SAT & 1 ACT)
$299
Most Effective
180-Day Access + 2 Full Tests (1 SAT & 1 ACT)
$249
Most Popular
90-Day Access + 2 Full Tests (1 SAT & 1 ACT)
$199
Buy Now!

Access Includes

  • Entire Digital SAT & ACT QBank
  • 4,000+ Exam-style Practice Questions
  • Customizable Quiz Generator
  • Step-by-Step Solutions
  • Realistic Timed Test Simulation
  • Colorful Visual Explanations
  • Adjustable SAT Study Planner
  • Progress Dashboard
  • Smart Flashcards
  • Digital Notebook

Kick off your prep with a free trial!
Explore the SAT QBank and ACT QBank, whether you want a quick review or a full exam deep dive.

7-Day SAT Free Trial 7-Day ACT Free Trial Subscription FAQs

Hear From Our Students

UWorld’s QBank is extremely satisfactory to my needs as a Digital SAT test-taker! It helped me extremely in both the mathematics and writing sections. I also went from getting almost 47/58 in math to an all-time flawless math score. I’m vastly grateful for this product.

— Abdulrahman A.

Prior to using UWorld, I had no idea how to study for the SAT. Thanks to their enormous question bank, I never ran out of questions to practice with, and I became increasingly proficient day by day. From a 1330 on my PSAT to a 1470 on my SAT, UWorld has been the greatest tool for my improvement.

— Sheron X.

UWorld is just like having a personal tutor who helps you correct your mistakes and provides you with the best tactics. During such heavy schedules, UWorld perfectly fits in as it allows you to quickly run through any number of questions and add any notes to flashcards as and when needed for later reference.

— Finn R.
Read More Reviews

Meet Our Expert SAT Teachers

Real teachers. Real SAT questions. Our instructors carefully craft every SAT multiple choice practice question to look and feel just like the real exam—so you can study smarter and stress less.
Suzanne Dilday
Experience

27 years teaching high school English, including 16 years for AP® English Language

Specialty

Advanced rhetorical analysis, argumentative writing, and college-level literary skills

Other Facts

Creates study materials for the SAT and ACT® exams

John Doe
John DoeCEO
Peter Kenny
Experience

37 years teaching high school English, including 23 years for AP English Literature

Specialty

In-depth knowledge of literature, language, and skills needed for academic success

Other Facts

Has a Bachelor of Arts in English and a master’s in Humanities; creates study materials for the SAT and ACT exams

John Doe
John DoeCEO
Melanie White
Experience

25+ years tutoring students for the SAT and ACT, and 10 years as an SAT essay grader for the College Board®

Specialty

High-school English, GED classes, and college-level composition classes

Other Facts

Has a Bachelor of Arts in English with a specialization in Creative Writing and a Master of Arts in English as a Second Language

John Doe
John DoeCEO
Anne Hellerman
Experience

13 years tutoring high-school students in English and math

Specialty

SAT and ACT preparation, testing strategies, and a focus on helping students strengthen their academic foundation

Other Facts

Creates study materials for both the SAT and ACT exams

John Doe
John DoeCEO
Jessica Meyer
Experience

22 years in math education — classrooms and educational tech startups

Specialty

Pedagogy and addressing students’ needs in math through traditional and innovative solutions

Other Facts

Has a Bachelor of Science in Applied Mathematical Sciences and a Master of Arts in Mathematics

John Doe
John DoeCEO
Joan Lester
Experience

10 years in engineering, and 12 years teaching high-school math

Specialty

Technical and instructional disciplines by applying math to the SAT and ACT in preparation for future technical studies

Other Facts

Has a Bachelor of Science in Mechanical Engineering and Master of Science in Engineering

John Doe
John DoeCEO
Lauren Stevenson
Experience

20 years in math education, ranging from Algebra I to AP Calculus, and curriculum writing at both district and state levels

Specialty

Pedagogy with real-world testing standards to prepare students for the SAT, ACT, AP Calculus, and AP Statistics

Other Facts

Has a master's in Education and has completed doctoral coursework

John Doe
John DoeCEO
Rebecca Plourde
Experience

10+ years in SAT/ACT math content development, and 4 years teaching underperforming students

Specialty

Adaptable and diverse math teaching methods that help students across skill levels

Other Facts

Has a dual degree in Philosophy and Mathematics

John Doe
John DoeCEO
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SAT Question Bank: Frequently Asked Questions (FAQs)

Yes. We offer a free trial that gives you access to a selection of our realistic SAT practice questions and, most importantly, our detailed answer explanations. We want you to see for yourself why students say our explanations are the “best” and how they help you understand the why behind every mistake. No credit card is required.

Yes. This QBank is arguably the most effective tool for a time crunch because it stops you from wasting time. Instead of randomly doing questions, you can use our performance analytics to find your biggest weaknesses and focus 100% of your remaining time there.

Many students see significant score jumps in just a few weeks by focusing on deeply reviewing the explanations of 20-30 targeted questions a day, rather than mindlessly answering 200.

The key is focused review. Don’t just answer questions. Spend time on the detailed explanations for every question you get wrong. Use the performance dashboard to identify your exact weak spots (e.g., Quadratics or Transitions), then create custom quizzes to target only those specific skills. This is how you study smarter, not just longer.
The most significant difference is the quality and depth of the explanations. Free resources often have basic explanations that only show the correct answer option (literally, A, B, C, or D). Our experts write detailed rationales for every single option (even the wrong ones), showing you the underlying logic and fastest strategies (like SAT math shortcuts) so you can stop making the same mistakes.
Our questions are designed to be at or slightly above the difficulty of the actual digital SAT. We closely mimic the actual SAT in terms of question style, logic, and interface. Students consistently tell us that after practicing with our QBank, the real exam feels easier and far less stressful.
This is the perfect next step. Our 1,650+ questions are unique content that you won’t find anywhere else. It’s the best way to keep practicing on expert-quality, realistic questions after you’ve finished the free official materials.
Absolutely. The QBank is cloud-based and syncs across all your devices: phone, tablet, and computer. You can do a 10-minute quiz on your phone and review the results on your laptop later.
Our QBank gives you the tools to simulate adaptive practice. You can build a quiz of “Medium” difficulty questions, then follow it with a quiz of “Hard” questions. This, combined with our timed mode that matches the exam interface, gives you a highly realistic environment to master pacing and difficulty changes.

This QBank is ideal for self-studiers who want to focus on targeted practice. It gives you our entire 1,650+ question library and all our smart study tools (analytics, flashcards, notebook) to find and fix your weaknesses on your own. 

The Course includes everything in the QBank, plus 100+ short, expert-led video lessons that teach you every single concept from the ground up, along with a guided study plan and prep book.

Bottom line: If you just need to practice and review, get the QBank. If you need to learn the core content and practice, the Course is the better fit. Check out our free trial to explore what’s the right fit for you.

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SAT QBank
Select Your Plan
Fast Track
30 Day Access
$99
Buy
Power Boost
90 Day Access
$149
Buy
Recommended
Competitive Edge
180 Day Access + One-Time Reset
$199
Buy
Peak Performance
360 Day Access + One-Time Reset
$249
Buy

Frequently Asked Questions

New Purchase: All new subscriptions go into effect from the time they are activated and not at the time of setup/purchase. A subscription can be activated immediately or any time thereafter. If your initial purchase consists of multiple courses (Qbank, Self-Assessment exam, CCS, etc.), each can be activated individually and independently via your account on our website. This process of activating a subscription after purchase allows you the flexibility to start a subscription when you are truly ready to use it.

We recommend that all subscriptions be activated within 180 days of setup/purchase. Once a subscription is activated, it cannot be paused or suspended for any reason and will run continuously for the duration of the course material.

Renewal: A renewal is an extension of time to continue access to a current activated subscription. Because a renewal is an extension to an already active subscription, it is effective from the existing expiration date, not from the day of purchase and cannot be deferred to start at a later date/time.

Note: All of our subscriptions are based on the Eastern Time Zone (GMT/UTC -5 hours or New York Time), which may be different than your local time zone.

Any of our product offerings can be purchased from our website with payment due in full at time of purchase via a credit or debit card with American Express/Discover/MasterCard or Visa logo.

You will need to register for an account in order to purchase any of our products. Once you have registered for an account or if you already have an account:

  • Log in to your UWorld account
  • Click on the Cart icon at the top of the page and then select your desired product to see a list of available packages and their prices
  • Select the package you wish to purchase
  • Verify your profile information, address, and educational status, then click the Update button
  • Enter your Billing address and credit/debit card information, then click Review Order
  • Verify that the correct product is in your cart and click Place Order
  • A purchase receipt will automatically be sent to your registered email address

If you complete your purchase but do not receive a receipt, please contact the Customer Care Team at [email protected]

You can subscribe to any of our online courses/services using a credit or debit card with a Visa, MasterCard, Discover or American Express logo. After a successful payment, your subscription will immediately be available for activation via your account on our website or available complementary mobile applications.

You can also subscribe via personal check, money order, or demand drafts taken in U.S. dollars. These types of payments should be mailed to us and should include the name of the subscription and the duration, along with the details asked for in the registration form. We will set up your account as soon as we receive your payment and notify you via email of your access credentials. All direct-mail payments must be in U.S. dollars and made payable to:

UWorld, LLC
9111 Cypress Waters Blvd
Suite 300
Dallas, TX 75019

We do not accept cash via mail, currencies other than U.S. dollars or payments via fax.

Individuals purchasing our CPA Review product may finance their purchase using Affirm during checkout process. Your eligibility depends on your credit score and other criteria, as per Affirm’s policies (outlined here). A soft credit check, a credit check that does not affect your credit score, will be performed by Affirm to determine your loan eligibility. You will need a US based bank account to qualify.

All refunds are evaluated on a case-by-case basis for products purchased directly from UWorld. One case has no bearing on another. Refund amounts determined by UWorld are final.

In-App Purchases: We are unable to process any refunds for purchases made via mobile application (in-app). Please contact Apple for all refund/credit requests for Apple in-app purchases.

USMLE Step 2 CS, Step 3 CCS, Subject Reviews & Self-Assessment Exams: These subscriptions are non-refundable, non-transferable, and cannot be converted into another subscription.

CPA Review: Students may request to cancel their CPA review product only within 10-days of activation of any of the materials. To qualify for a refund, no more than 10% of the course (lectures, Qbank, or a combination there-of) may have been used per exam section. All CPA Review refunds are subject to a cancellation fee of $75 (for single section purchases) or $250 (for package
purchases), plus any applicable shipping charges. No return of merchandise is necessary.

All other Qbanks: Refunds are considered for subscriptions of more than 30 days. Refund amounts are based on the number of days elapsed since the subscription start date or the number of questions used, whichever amounts to a higher deductible.

Example scenarion: An individual purchases a 180-day Qbank subscription and generates a few test blocks equal to 20% of the questions in the Qbank. After 45 days, he/she requests a refund. Because the elapsed duration is greater than the percentage of questions used, the refund amount will be based on a subscription converted to the closest duration (60 days) by deducting the applicable 60-day subscription fee from the refund. In the same scenario, if the individual had used 85% of the questions, the refund would be 15% of the subscription fee paid.

Note 1: A processing fee of 10% (minimum of $10 and maximum of $25) will be applied to all refund amounts.

Note 2: All refunds, pro-rated or otherwise, must be requested within 360 days of original purchase. Refunds for purchases made more than 360 days ago will be issued as non-refundable, non-transferable store credit.

Note 3: Subscribers must notify UWorld of their intent to obtain a refund before activating their subscription (or) during the active duration. If the reset option is used or all of the questions are used, no refund will be allowed (see “I want to reset/delete my Qbank test history (or) start all over again, is this possible?” below for further details). No refunds will be offered for expired subscriptions.

Note 4: For combination package purchases, individual subscription fees will be applied when calculating the refund. If any self-assessment Exam(s) is utilized from a package, the entire purchase is rendered non-refundable.

Note 5: Although access to Qbanks via certain mobile devices is provided as an additional feature, it is not intended to be a replacement for computer access, and no refunds or cancellations will be honored due to user inability to install and/or use the provided software on any mobile device (regardless of whether the device meets the minimum system requirements).

Please use the following steps to purchase a renewal for your subscription:

  • Log in to your account on our website
  • Click on the User Icon in the top right corner of the screen
  • Click on the Renew button corresponding to your subscription
  • Select the Renewal duration you wish to purchase
  • Verify your profile information, address, and educational status, then click the Update button
  • Enter your Billing address and credit/debit card information, then click Review Order
  • Verify that the correct package is in your cart and click Place Order

Upon a successful transaction, you will be sent a confirmation email receipt.

A renewal is an extension of time to continue accessing an active subscription, and it will not start the subscription over, provide a reset, or grant access to additional questions that were not previously accessible. Because a renewal is an extension to an already active subscription, it is effective from the existing expiration date, not from the date of purchase, and cannot be deferred in any way to start at a later date/time.

Please note that to qualify for renewal pricing, you will need to renew the course before it expires. Renewals are not offered to expired subscriptions. If you fail to secure a renewal before the expiration date, you will need to purchase a new subscription at the regular price directly from our website to regain access to the material.

Note: All times and dates displayed for subscription expiration correspond with the Eastern Time Zone (GMT/UTC -5 hours or New York Time), which may be different than your local time zone.

Note: If your initial purchase was a combination package, you will need to renew each active subscription individually. You do not need to renew a course that has not been activated.

You may request to upgrade or downgrade your subscription purchase as long as it has not been activated. If you purchase a combination package, all included subscriptions must be unused. Please be advised that current subscription pricing will apply.

If your subscription has been activated, unfortunately, we cannot upgrade it retroactively. If seeking to downgrade, please refer to our refund policy for available options.

We do not offer custom duration(s) or combination packages other than those outlined on the website. Please refer to our purchase page for currently available subscriptions (including discounted combination packages for some products).

Self-Assessment exam subscriptions are for 14 days each. Subscribers whose active subscription(s) have not expired can purchase renewals from 7 days or more at any time before their active subscription expires. Please refer to the respective course description page for renewal options.

We offer a demo on each of our product pages that contains a sample of the product interface and a few sample questions. We do not offer guest/trial accounts to test our software and view materials.

It is possible to purchase a subscription as a gift for someone else. However, the intended recipient will need to register an account on our website (or have an account registered for them, with their profile information entered accurately). If the user is present at the time of purchase, the purchase can be made from their account on our website using any credit or debit card with a Visa, MasterCard, American Express, or Discover logo.

If the user is not present, or you wish for the gift to be a surprise, please contact Support directly using the contact form to arrange payment for the gift subscription. You will need to provide the user’s registered email address so the account can be located.
SAT Courses
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Introductory Plan
30 Day Access
$249
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90 Day Access
$299
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Most Popular
Deep Learning Plan
180 Day Access + One-Time Reset
$349
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360 Day Access + One-Time Reset
$399
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