Question 1
Which expression is equivalent to 6 x + 5 x + 4 y ? A. 15 x B. 15 y C. 11 x + 4 y D. 30 x + 4 y
SAT Suite Official Practice Test 11 — Math Module 2
Official College Board SAT Practice Test 11, nonadaptive paper format — Math Module 2.
27 questions · Free online practice
Open the interactive worksheetQuestion 2
To study the characteristics of sea stars in a group of tide pools, researchers measured the diameter of the sea stars within the tide pools. The dot plot gives the diameter, to the nearest inch, of each of the sea stars in these tide pools. Diameter (inches) 16 17 18 19 20 The data for the dot plot are as follows: 16: 6 dots 17: 4 dots 18: 1 dot 19: 2 dots 20: 3 dots Based on the dot plot, how many sea stars had a diameter, to the nearest inch, of 16 inches? A. 16 B. 6 C. 4 D. 1
Question 3
A rectangle has a length of 56 inches and a width of 28 inches. What is the area, in square inches, of the rectangle? A. 28 B. 84 C. 168 D. 1,568
Question 4
10 x = 110 6 x - 63 = y The solution to the given system of equations is ( x , y ) . What is the value of y ? A. 63 B. 11 C. 10 D. 3
Question 5
The function f is defined by f ( x ) = 9 ( 2 x + 3 ) . For what value of x does f ( x ) = 63 ? A. 2 B. 5 C. 7 D. 30
Question 6
10 x = 86 What value of x is the solution to the given equation?
Question 7
y = 3,600 ( a ) x The given equation, where a is a positive constant, gives the predicted number of bacteria, y , in a growth medium x hours after the number of bacteria was initially measured. According to the equation, what was the predicted number of bacteria initially measured in the growth medium?
Question 8
Leo goes to a packing store to buy containers and tape. Leo has $ 15 . Each container costs $ 1.87 and each roll of tape costs $ 2.40 . Which inequality represents the relationship between the number of containers, c , and the number of rolls of tape, t , Leo can buy? A. 1.87 c + 2.40 t ≤ 15 B. 1.87 c + 2.40 t ≥ 15 C. 2.40 c + 1.87 t ≤ 15 D. 2.40 c + 1.87 t ≥ 15
Question 9
The graph of the function f is shown, where y = f ( x ) . Moving from left to right: The curve passes from quadrant 2 to quadrant 1. In quadrant 2, the curve trends up gradually to point (0 comma 1). In quadrant 1, the curve trends up sharply. As x decreases, the curve approaches the line y equals 0. The curve passes through the following points: approximately (negative 1 comma 0.2) (0 comma 1) approximately (1 comma 5.3) Which of the following best describes the function f ? A. Decreasing exponential B. Increasing exponential C. Decreasing linear D. Increasing linear
Question 10
‒15 ‒10 ‒5 5 10 15 x 5 10 15 20 25 30 35 40 45 50 55 60 y O The boundary of the inequality is a solid line. The line is horizontal. The line passes through the following points: (negative 15 comma 36) (0 comma 36) (15 comma 36) The area above the boundary is shaded. The shaded region shown in the graph represents all the solutions to which inequality? A. x ≤ 36 B. x ≥ 36 C. y ≤ 36 D. y ≥ 36
Question 11
There are 240 players in a tennis competition that includes 4 rounds of matches. Each player in the competition will play a match against another player in round 1 . At the end of each round, the player who loses the match is eliminated and the player who won the match advances to the next round to play a match against another winning player. Which equation gives the number of players, p , eliminated at the end of round r , where r ≤ 4 ? A. p = 15 ( 1 2 ) r B. p = 15 ( 2 ) r C. p = 240 ( 1 2 ) r D. p = 240 ( 2 ) r
Question 12
Line k is defined by y = 6 x + 4 . Line j is parallel to line k in the xy -plane and passes through the point ( 0 , 5 ) . Which equation defines line j ? A. y = 6 x + 5 B. y = - 5 x + 5 C. y = - 6 x + 5 D. y = 5 x + 5
Question 13
One angle is a right angle. The measure of a second angle is x°. The lengths of the 2 sides adjacent to the right angle are as follows: 15 15 Note: Figure not drawn to scale. In the triangle shown, what is the value of x ?
Question 14
What is the radius of the circle in the xy -plane defined by ( x + 2 ) 2 + ( y + 5 ) 2 = 169 ?
Question 15
50 100 150 200 250 x ‒200 ‒150 ‒100 ‒50 50 100 150 200 250 300 350 y O The parabola opens downward. The parabola passes through the following approximate points: (50 comma negative 33.83) (149.02 comma 186.05) (250 comma 315.37) The graph shows the estimated boiling point y , in degrees Celsius, of a normal paraffin with a molecular weight of x grams per mole, where 1 ≤ x ≤ 280 . Which statement is the best interpretation of the point ( 149.02 186.05 ) ? A. A normal paraffin with a molecular weight of 186.05 grams per mole has an estimated boiling point of 149.02 degrees Celsius. B. A normal paraffin with a molecular weight of 149.02 grams per mole has an estimated boiling point of 186.05 degrees Celsius. C. The minimum estimated boiling point for normal paraffins corresponds to a paraffin with a molecular weight of 149.02 grams per mole and an estimated boiling point of 186.05 degrees Celsius. D. The maximum estimated boiling point for normal paraffins corresponds to a paraffin with a molecular weight of 149.02 grams per mole and an estimated boiling point of 186.05 degrees Celsius.
Question 16
For the polynomial function f , the graph of y = f ( x ) in the xy -plane passes through the points ( - 5 0 ) , ( 1 0 ) , and ( 4 0 ) . Which of the following must be a factor of f ( x ) ? A. x + 1 B. x + 4 C. x - 1 D. x - 5
Question 17
x g ( x ) 1 32 2 28 3 24 4 20 For the linear function g , the table shows four values of x and their corresponding values of g ( x ) . The function can be written as g ( x ) = m x + b , where m and b are constants. What is the value of b ? A. 4 B. 16 C. 32 D. 36
Question 18
x 24 30 32 f ( x ) - 8 - 8 8 For the quadratic function f , the table shows three values of x and their corresponding values of f ( x ) . Which equation defines f ? A. f ( x ) = ( x - 24 ) ( x - 30 ) + 4 B. f ( x ) = ( x - 24 ) ( x - 30 ) - 8 C. f ( x ) = ( x - 8 ) ( x - 32 ) + 32 D. f ( x ) = ( x - 8 ) ( x - 32 ) - 32
Question 19
The line slants gradually down from left to right. The line passes through the following approximate points: (0 comma 136) (158 comma 0) A certain open star cluster contains M-type stars and K-type stars. The estimated total mass of M-type and K-type stars in this open star cluster is 127,882 quettagrams . The graph shown models the possible combinations of the number of M-type stars, x , and K-type stars, y , that could be in this open star cluster if all the M-type stars have the same estimated mass and all the K-type stars have the same estimated mass. Based on the graph, which of the following is closest to the estimated mass, in quettagrams, of each M-type star in this cluster? A. 811 B. 938 C. 51,904 D. 75,978
Question 20
p 2 3 = t 9 7 In the given equation, p > 1 and t > 1 . If t = p 3 n - 1 , where n is a constant, what is the value of n ?
Question 21
The number a is 55 % less than the number b . The number b is 320 % greater than 160 . What is the value of a ?
Question 22
f ( x ) = - 6 x 2 + 60 x - 126 The function f is defined by the given equation. Which of the following equivalent forms of the equation displays the maximum value of the function as a constant or coefficient? A. f ( x ) = - 6 x 2 + 42 x + 18 x - 126 B. f ( x ) = - 6 x ( x - 7 ) + 18 ( x - 7 ) C. f ( x ) = - 6 ( x - 5 ) 2 + 24 D. f ( x ) = - 6 ( x - 7 ) ( x - 3 )
Question 23
Triangle upper W upper X upper Q has a common vertex with triangle upper Y upper Z upper Q. The common vertex is upper Q. For triangle upper W upper X upper Q: The measure of angle upper W is a°. For triangle upper Y upper Z upper Q: The measure of angle upper Y is a°. A note indicates the figure is not drawn to scale. In the figure shown, W Z ¯ and X Y ¯ intersect at point Q , Y Q = 21 , W Q = 70 , W X = 60 , and X Q = 120 . What is the length of Y Z ¯ ? A. 18 B. 36 C. 120 D. 200
Question 24
52 ( x 3 + 64 ) ( x 4 - 81 ) = 0 How many distinct real solutions does the given equation have? A. Exactly two B. Exactly three C. Exactly five D. Exactly seven
Question 25
The histogram has 4 bins. The frequency values of the 4 bins are as follows: 30 to 39 points: More than halfway between 0 and 5 40 to 49 points: About halfway between 5 and 10 50 to 59 points: About halfway between 25 and 30 60 to 69 points: About halfway between 10 and 15 The histogram summarizes data set A, which represents the number of points per player earned by 50 players of a game. A new player earns 18 points playing the game, and this number of points is added to data set A to create data set B with 51 values. Which of the following must be true? The median number of points per player for data set B is less than the median number of points per player for data set A. The mean number of points per player for data set B is less than the mean number of points per player for data set A. A. I only B. II only C. I and II D. Neither I nor II
Question 26
In triangle X Y Z , the measure of angle X is 90 ° . Point W lies on segment Y Z , and segment W X is perpendicular to segment Y Z . The length of segment W Y is 572 , and the length of segment W X is 429 . What is the value of tan Z ? A. 3 5 B. 3 4 C. 4 5 D. 4 3
Question 27
An area of 46.00 square nautical miles is equivalent to k square kilometers. To the nearest tenth, what is the value of k ? ( 1 nautical mile = 1.852 kilometers )