PERT Math Practice Test

What is the solution set for the equation \( 2x^2 - 5x - 3 = 0 \)?

If \( f(x) = 2x^3 - x^2 + 4 \) and \( g(x) = x - 2 \), what is \( f(g(1)) \)?

What is the sum of the first 15 terms of the arithmetic sequence \( 3, 7, 11, \ldots \)?

Given the inequality \( 4x - 7 < 5x + 6 \), what is the range of values for \( x \)?

What is the value of \( x \) in the equation \( 5^{3x} = 125 \)?

If the function \( f(x) = \frac{1}{x^2} \), what is the value of \( f(-2) + f(2) \)?

What is the simplified form of the expression \( \sqrt[3]{27x^6} \)?

Given two functions \( f(x) = x^2 - 4 \) and \( g(x) = 2x + 3 \), what is the value of \( f(g(2)) \)?

What is the area of a circle with a diameter of 8 inches?

The sum of the roots of the quadratic equation \( x^2 - 4x + 3 = 0 \) is:

Calculate the value of \( x \) in the logarithmic equation \( \log_2(x) + \log_2(x-2) = 3 \).

If a polynomial \( P(x) \) is divided by \( (x - 3) \), the remainder is 9. What is \( P(3) \)?

Find the vertex of the parabola represented by the equation \( y = x^2 - 6x + 8 \).

What is the range of the function \( f(x) = \frac{1}{1 - x} \)?

Solve for \( x \) in the inequality \( \frac{2x - 3}{5} > 1 \).

What is the simplified result of \( \frac{\sqrt{32} + \sqrt{50}}{\sqrt{2}} \)?

Find the \( x \)-intercept of the line represented by the equation \( 2x - 3y = 6 \).

If \( a \) and \( b \) are the roots of the equation \( x^2 - x - 6 = 0 \), what is \( a^2 + b^2 \)?

Calculate the sum of an infinite geometric series with the first term 8 and a common ratio of \(\frac{1}{3}\).

What is the area of an equilateral triangle with a side length of 6?

Determine the value of \( x \) in the equation \( 9^x = \frac{1}{81} \).

What is the slope of the line perpendicular to the line represented by \( y = -3x + 4 \)?

If \( (x - 2)(x + 3) = 0 \), what are the possible values of \( x \)?

The function \( f(x) = 2^x \) passes through which of the following points?

What is the median of the set of numbers \( \{8, 11, 14, 17, 20, 23\} \)?

If \( \sin(\theta) = 0.6 \) and \( 0 < \theta < \frac{\pi}{2} \), what is \( \cos(\theta) \)?

What is the product of the roots of the equation \( x^2 + 5x + 6 = 0 \)?

If the circle's equation is \( (x - 3)^2 + (y + 4)^2 = 25 \), what is its radius?

If \( a:b = 2:3 \) and \( b:c = 4:5 \), what is the ratio \( a:c \)?

What is the 100th term of the arithmetic sequence \( 2, 5, 8, \ldots \)?