SAT Maths Practice Test- FREE

Try out the free SAT Math Practice Test offered by Varsity Learning Tools 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}{\sqrt{x}}[/Tex]. What is the domain of the function [Tex]h(x)[/Tex]?

• \(x \geq 0\)

• \(x > 0\)

• \(x \leq 0\)

• \(x < 0\)

Question 2

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

• f(x)=x2−3x+2

• f(x)=−2x2+4x−1

• f(x)=3x2−2x+5

• f(x)=−4x2+2x−1

Question 3

Consider the function [Tex]f(x) = 3x^2 - 6x + 1[/Tex]. What are the x-coordinates of the points where the graph of [Tex]f(x)[/Tex] intersects the x-axis?

• x=0 and x=2

• x=−1 and x=3

• x=0 and x=3

• [Tex]x = 1[/Tex] and x=2

Question 4

Given the function [Tex]g(x) = \frac{1}{x^2 + 4}[/Tex], which of the following statements is true about the function's graph?

• The function is undefined for all real numbers.

• The function has a vertical asymptote at [Tex]x = 4[/Tex].

• The function has a hole in the graph at [Tex]x = 4[/Tex].

• The function is continuous for all real numbers.

Question 5

Which of the following equations has no real solutions?

• x2+4x+4=0

• x2−6x+9=0

• x2−5x+5=0

• x2+2x+2=0

Question 6

What is the solution to the equation [Tex]2x^2 - 5x - 3 = 0[/Tex]?

• x=−3 or x=1/2

• x=−1 or x=3

• x=−1 or x=3/2

• x=−3/2 or x=1

Question 7

Which of the following expressions is equivalent to [Tex]\frac{{4x^2 + 12x}}{{2x}}[/Tex]?

• 2x2+6

• 2x2+6x

• 2x2+12

• 2x+6

Question 8

Which of the following expressions is equivalent to [Tex]5x + 3 - (2x - 1)[/Tex]?

• 3x+2

• 3x+6

• 3x+8

• 3x+4

Question 9

Which of the following ordered pairs satisfies the equation [Tex]y = x^2 - x + 2[/Tex]?

• (1,1)

• (2,0)

• (0,2)

• (−1,4)

Question 10

Which of the following ordered pairs satisfies the equation [Tex]y = x^2 + 2x + 1[/Tex]?

• (0,1)

• (2,9)

• (1,4)

• (−1,0)