SAT Math Practice Set 1b

Question 1: Based on the line graph, in which year was the estimated number of chipmunks in the state park the greatest?

Chipmunk Population Over Time

A) 1989 B) 1994 C) 1995 D) 1998

Question 2: A fish swam a distance of 5,104 yards. How far did the fish swim, in miles? (1 mile = 1,760 yards)

A) 0.3 B) 2.9 C) 3,344 D) 6,864

Question 3: Which expression is equivalent to 12x³ − 5x³?

A) 7x⁶ B) 17x³ C) 7x³ D) 17x⁶

Question 4:
x + y = 18
5y = x

What is the solution (x, y) to the given system of equations?

A) (15, 3) B) (16, 2) C) (17, 1) D) (18, 0)

Question 5: The point (8, 2) in the xy-plane is a solution to which of the following systems of inequalities?

A) x > 0 and y > 0 B) x > 0 and y < 0 C) x < 0 and y > 0 D) x < 0 and y < 0

Question 6: |x − 5| = 10

What is one possible solution to the given equation?

Question 7: The function f(x) = 7x + 1 gives the total number of people on a company retreat with x managers. What is the total number of people on a company retreat with 7 managers?

Question 8: h(x) = x² − 3

Which table gives three values of x and their corresponding values of h(x) for the given function h?

A) x: 1, 2, 3; h(x): 4, 5, 6 B) x: 1, 2, 3; h(x): -2, 1, 6 C) x: 1, 2, 3; h(x): -1, 1, 3 D) x: 1, 2, 3; h(x): -2, 1, 3

Question 9: The function f is defined by f(x) = 270(0.1)^x. What is the value of f(0)?

A) 0 B) 1 C) 27 D) 270

Question 10: Based on an estimate with a margin of error of 0.04, the proportion of a population with a characteristic is 0.49. What is the most appropriate conclusion?

A) It is plausible that the proportion is between 0.45 and 0.53. B) It is plausible that the proportion is less than 0.45. C) The proportion is exactly 0.49. D) It is plausible that the proportion is greater than 0.53.

Question 11: A truck can tow a trailer and boxes with a combined weight no more than 4,600 pounds. What is the maximum number of 120-pound boxes the truck can tow in a 500-pound trailer?

A) 34 B) 35 C) 38 D) 39

Question 12: −4x² − 7x = −36

What is the positive solution to the given equation?

A)

74

B)

94

C) 4 D) 7

Question 13: Based on the table of 100 tiles, if one is selected at random, what is the probability of selecting a red tile?

The table summarizes the distribution of color and shape for 100 tiles of equal area.

Question 14: The graph of y = f(x) for f(x) = 2x + 3 is parallel to line j. What is the slope of line j?

Question 15: 3 times as many people voted in favor of a proposal as against it. 15,000 more people voted in favor than against. How many people voted against it?

A) 7,500 B) 15,000 C) 22,500 D) 45,000

Question 16: In the figure, lines m and n are parallel. If x = 6k + 13 and y = 8k − 29, what is the value of z?

A) 3 B) 21 C) 41 D) 139

Question 17: −3x + 21px = 84

In the given equation, p is a constant. The equation has no solution. What is the value of p?

A) 0 B)

17

C)

43

D) 4

Question 18: f(x) = (x − 10)(x + 13)

For what value of x does f(x) reach its minimum?

A) -130 B) -13 C) –

232

D) –

32

Question 19: The function f(x) =
19
(x − 7)² + 3 gives a ball’s height. Which of the following is the best interpretation of the vertex (7, 3)?

A) The metal ball’s minimum height was 3 inches above the ground. B) The metal ball’s minimum height was 7 inches above the ground. C) The metal ball’s height was 3 inches above the ground when it started moving. D) The metal ball’s height was 7 inches above the ground when it started moving.

Question 20: In triangle JKL, cos(K) =
2451
and angle J is a right angle. What is the value of cos(L)?

Question 21: −x² + bx − 676 = 0

In the given equation, b is a positive integer. The equation has no real solution. What is the greatest possible value of b?

Question 22: If the system of two equations shown in the graph and the equation x + 4y = -16 are combined, how many solutions will the new system have?

A) Zero B) Exactly one C) Exactly two D) Infinitely many

Question 23: f(x) = 5,470(0.64)^x/12

The function f gives the value of equipment after x months. If the value decreases each year by p% of its value the preceding year, what is p?

A) 4 B) 5 C) 36 D) 64

Question 24: Data set B is created by adding 56 to each value in data set A (shown in the dot plot). Which correctly compares the medians and ranges of data sets A and B?

A) The median of B is equal to the median of A, and the range of B is equal to the range of A. B) The median of B is equal to the median of A, and the range of B is greater than the range of A. C) The median of B is greater than the median of A, and the range of B is equal to the range of A. D) The median of B is greater than the median of A, and the range of B is greater than the range of A.

Question 25: The equation x² + (y − 1)² = 49 represents circle A. Circle B is obtained by shifting circle A down 2 units. Which equation represents circle B?

A) (x − 2)² + (y − 1)² = 49 B) x² + (y − 3)² = 49 C) (x + 2)² + (y − 1)² = 49 D) x² + (y + 1)² = 49

Question 26:

Two identical rectangular prisms each have a height of 90 centimeters (cm). The base of each prism is a square, and the surface area of each prism is K cm². If the prisms are glued together along a square base, the resulting prism has a surface area of

9247

K cm². What is the side length, in cm, of each square base?

A) 4 B) 8 C) 9 D) 16

SAT Digital – Math