SAT Pastpaper with Solutions | Global Test Academy Practice Test

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

What is an x-intercept of the graph of y = x² - 169 in the xy-plane?

A(1, 0)B(13, 0)C(26, 0)D(169, 0)

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

For the linear function f, f(0) = 0 and f(40) = 8. Which equation defines f?

Af(x) = x/8Bf(x) = x/5Cf(x) = x + 5Df(x) = x + 8

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

In the figure, line n is parallel to line s, and both lines are intersected by line t. If x = 6z - 87 and y = 3z + 51, what is the value of z?

A14B24C46D57

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

y > 15, 3x + y < 19

The point (x, 38) is a solution to the given system of inequalities in the xy-plane. Which of the following could be the value of x?

A7B3C-3D-7

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

The function f(x) = 231(1.026)^x models the value, in dollars, of a certain bank account from 1953 through 1973, where x is the number of years after the end of 1953. Which of the following is the best interpretation of "f(5) is approximately equal to 263" in this context?

AThe value of the bank account is estimated to be approximately 5 dollars greater at the end of 1958 than at the end of 1953.BThe value of the bank account is estimated to be approximately 263 dollars at the end of 1958.CThe value, in dollars, of the bank account is estimated to be approximately 5 times greater at the end of 1958 than at the end of 1953.DThe value of the bank account is estimated to increase by approximately 263 dollars every 5 years between the end of 1953 and the end of 1973.

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

(5x + 10)(2x + 1) - (2x - 18)

For all values of x, the given expression is equivalent to which of the following?

I. 10x² + 23x + 28

II. 10x² + 25x + 10 - 2x - 18

AI onlyBII onlyCI and IIDNeither I nor II

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

y < 4x + 15

For which of the following tables are all the values of x and their corresponding values of y solutions to the given inequality?

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

The function f is defined by f(x) = -1/4 (x - 9) + 4. For what value of x does f(x) = 2a, where a is a constant?

A-8a + 25B-8a - 7C-a/2 + 25/4D-a/2 + 7/4

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

, what is the value of x - 5?

A8B59C64D128

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

2(8x) + 7(6y) = 21

-2(8x) + 7(6y) = 21

The solution to the given system of equations is (x, y). What is the value of 8x + 6y?

A0.5B1.5C3D21

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

The histogram summarizes the distribution of an original data set that represents the number of points per game a basketball team has scored in the last 50 games played. If the team scores 17 points in the next game and this game is added to the original data set to create a new data set of 51 values, which of the following must be true?

I. The median number of points per game for the new data set is less than the median number of points per game for the original data set.

II. The mean number of points per game for the new data set is less than the mean number of points per game for the original data set.

AI onlyBII onlyCI and IIDNeither I nor II

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

g(x) = x³ + ax² + bx + c

The function g is defined by the given equation, where a, b, and c are integer constants. The zeros of the function are -2, -7, and 3. What is the value of a?

A-42B-6C6D42

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

Each 3.0-ounce serving of cheddar cheese and each 1.2-ounce serving of tuna provides about 1 microgram of vitamin B12. If a total of 3.1 micrograms of vitamin B12 are consumed from eating x ounces of cheese and y ounces of tuna, which equation best represents this situation?

A0.83x + 0.33y = 3.1B3.0x + 1.2y = 3.1C1.2x + 3.0y = 3.1D0.33x + 0.83y = 3.1

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

To win a game show, a contestant needs to score at least 20 total points from two rounds. Correct responses in the first round are worth 4 points each, and correct responses in the second round are worth 9 points each. Which inequality models this situation, where f is the number of correct responses in the first round and s is the number of correct responses in the second round?

Af + s ≤ 20B4f + 9s ≥ 20C9f + s ≥ 20D9f + 4s ≤ 20

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

For a linear relationship between x and y, the table gives three values of x and their corresponding values of y. Which equation represents this relationship?

Ay = 10xBy = x + 10Cy = x + 85Dy = 10x + 75

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

The graph of the polynomial function f in the xy-plane, where y = f(x), has x-intercepts of (-3, 0) and (4, 0). Which of the following must be true?

Af(0) = -3Bf(4) = -3Cf(-3) = 0Df(-3) = 4

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

A right square pyramid has a height of 15 inches and a volume of 125 cubic inches. What is the perimeter, in inches, of the base of this pyramid?

Type your answer

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

A researcher investigated two species of mites: a predator and its prey. At the start of a week, there was an equal number of the two species. At the end of the week, the number of prey had increased by 2100% of the number of prey at the start of the week, and the number of predators had increased by 450% of the number of predators at the start of the week. The number of predators at the end of the week was p% less than the number of prey at the end of the week. What is the value of p?

Type your answer

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

Right rectangular prism X is similar to right rectangular prism Y. The surface area of right rectangular prism X is 62 square centimeters (cm²), and the surface area of right rectangular prism Y is 1,550 cm². The volume of right rectangular prism X is 16.8 cubic centimeters (cm³). What is the volume, in cm³, of right rectangular prism Y?

Type your answer

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

A circle in the xy-plane has its center at (-4, 4) and has a radius of 6. An equation of this circle is x² + y² + ax + by + c = 0, where a, b, c are constants. What is the value of c?

Type your answer

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

57x¹⁸ + bx⁹ + 34

The given expression, where b is a constant, is equivalent to (3x⁹ + q)(rx⁹ + 2), where q and r are constants. What is the value of b?

Type your answer

Tools:

Chapter 13 · 2026.6 : A-A(analysis included) · MATH 2

r(x) = 8(x - 3)

s(x) = x³ + nx² + 3nx + 27

For the given functions r and s, n is a constant. If r(x) · s(x) = 8(x⁴ - 81), what is the value of n?

Type your answer