SAT Maths Practice Test- FREE

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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)

There are 44 questions to complete.

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