FREE Digital SAT Maths Practice Set 3

Try out the free SAT Math Practice Test curated by our experts to see which academic ideas you grasp and which ones need more work. Every SAT Math question is linked to the central, fundamental idea that is being examined. The results of the SAT Math Practice test show how you did on each section of the exam. The data can then be used to develop a customised study schedule based on your specific area of need.

Question 1

Consider the function [Tex]h(x) = \frac{1}{x^2 - 1}[/Tex]. What are the vertical asymptotes of the function [Tex]h(x)[/Tex]?

• [Tex]x = -1[/Tex] and [Tex]x = 1[/Tex]

• [Tex]x = -2[/Tex] and [Tex]x = 2[/Tex]

• [Tex]x = -1[/Tex], [Tex]x = 0[/Tex], and [Tex]x = 1[/Tex]

• [Tex]x = -2[/Tex], [Tex]x = 0[/Tex], and [Tex]x = 2[/Tex]

Question 2

Which of the following functions represents a parabola that opens downward?

• [Tex]f(x) = x^2 - 3x + 2[/Tex]

• [Tex]f(x) = -2x^2 + 4x - 1[/Tex]

• [Tex]f(x) = 3x^2 - 2x + 5[/Tex]

• [Tex]f(x) = -4x^2 + 2x - 1[/Tex]

• [Tex]f(x) = x^2 + 3x - 2[/Tex]

Question 3

Consider the function [Tex]f(x) = \frac{x^2 - 4x}{x - 2}[/Tex]. What are the x-values where the function [Tex]f(x)[/Tex] is undefined?

• [Tex]x = -2[/Tex]

• [Tex]x = -4[/Tex]

• [Tex]x = 2[/Tex]

• [Tex]x = -2[/Tex] and [Tex]x = 2[/Tex]

• [Tex]x = -4[/Tex] and [Tex]x = 2[/Tex]

Question 4

Given the function [Tex]g(x) = x^3 - 3x + 2[/Tex], what is the maximum value of the function?

• 1

• 2

• 3

• 4

• There is no maximum value

Question 5

Consider the function [Tex]h(x) = \frac{1}{x^2 + 1}[/Tex]. What are the vertical asymptotes of the function [Tex]h(x)[/Tex]?

• [Tex]x = -1[/Tex] and [Tex]x = 1[/Tex]

• [Tex]x = -2[/Tex] and [Tex]x = 2[/Tex]

• [Tex]x = -1[/Tex], [Tex]x = 0[/Tex], and [Tex]x = 1[/Tex]

• [Tex]x = -2[/Tex], [Tex]x = 0[/Tex], and [Tex]x = 2[/Tex]

• [Tex]x = -1[/Tex] and [Tex]x = 0[/Tex]

Question 6

Which of the following equations has no real solutions?

• [Tex]x^2 - 2x + 2 = 0[/Tex]

• [Tex]x^2 - 4x + 4 = 0[/Tex]

• [Tex]x^2 + 3x + 2 = 0[/Tex]

• [Tex]x^2 + 4x + 5 = 0[/Tex]

• [Tex]x^2 - 6x + 13 = 0[/Tex]

Question 7

What is the solution to the equation [Tex]3x^2 - 6x - 9 = 0[/Tex]?

• [Tex]x = -1[/Tex] or [Tex]x = 3[/Tex]

• [Tex]x = -1[/Tex] or [Tex]x = 2[/Tex]

• [Tex]x = -3[/Tex] or [Tex]x = 2[/Tex]

• [Tex]x = -3[/Tex] or [Tex]x = 3[/Tex]

• [Tex]x = -2[/Tex] or [Tex]x = 3[/Tex]

Question 8

Which of the following expressions is equivalent to [Tex]\frac{{x^2 + 2x - 8}}{{x + 4}}[/Tex]?

• [Tex]x - 2[/Tex]

• [Tex]x + 2[/Tex]

• [Tex]x - 2x + 16[/Tex]

• [Tex]x - 2x + 4[/Tex]

• [Tex]x - 2x - 16[/Tex]

Question 9

Which of the following expressions is equivalent to [Tex]3x^2 + 6x + 3[/Tex]?

• [Tex]3(x^2 + 2x + 1)[/Tex]

• [Tex]3(x^2 + 3x + 1)[/Tex]

• [Tex]3(x^2 + 2x)[/Tex]

• [Tex]3(x^2 + 3x)[/Tex]

• [Tex]3(x^2 + x + 1)[/Tex]

Question 10

Which of the following expressions is equivalent to [Tex]4x^2 - 16[/Tex]?

• [Tex]2(x^2 - 4)[/Tex]

• [Tex]2(x^2 - 8)[/Tex]

• [Tex]4(x^2 - 4)[/Tex]

• [Tex]4(x^2 - 8)[/Tex]