PERT Math FREE Sample Practice Questions

PERT Math FREE Sample Practice Questions: work through realistic questions in the same format and difficulty as the real test, then check every answer against a full step-by-step solution so you can see where you lost marks and what to review next.

7- C
|9 − (12 ÷ |2 − 5|)| = |9 − (12 ÷ |−3|)| = |9 − (12 ÷ 3)| = |9 − 4| = |5| = 5

8- D
METHOD ONE
\(log_{2}⁡x = 5\)
Apply logarithm rule: \(a = log_b⁡(b^a)\)
\(5 = log_2⁡(2^5) = log_2⁡(32)\)
\(log_2⁡x = log_2⁡(32)\)
When the logs have the same base: \(log_b⁡(f(x)) = log_b⁡(g(x))⇒ f(x) = g(x)\)
then: \(x = 32\)

METHOD TWO
We know that:
\(log_a⁡b=c⇒b=a^c \)
\(log_2⁡x=5⇒x=2^5=32\)

9- D
\(\frac{x^3}{16}\)
\(⇒\) reciprocal is: \(\frac{16}{x^3}\)

10- A
\(f(x) = ln (2x + 1)\)
\(y = ln (2x + 1)\)
Change variables \(x\) and \(y: x = ln (2y + 1)\)
solve: \(x = ln (2y + 1)\)
y = (eˣ − 1)/2 = ½(eˣ − 1), so the inverse is f⁻¹(x) = (eˣ − 1)/2

PERT math sample questions with answers

Work each question on paper before you read the solution. These cover the algebra skills the PERT math test leans on most.

Question 1

Solve for x: 4x − 7 = 2x + 9

Answer: x = 8. Subtract 2x from both sides: 2x − 7 = 9. Add 7: 2x = 16. Divide by 2: x = 8.

Question 2

Simplify: (3a²b)(−2ab³)

Answer: −6a³b⁴. Multiply the numbers: 3 × (−2) = −6. Add exponents on like bases: a² · a = a³ and b · b³ = b⁴.

Question 3

Factor: x² + x − 12

Answer: (x + 4)(x − 3). You need two numbers that multiply to −12 and add to 1. Those are 4 and −3. Check: (x + 4)(x − 3) = x² − 3x + 4x − 12 = x² + x − 12.

Question 4

What is the slope of the line through (−1, 4) and (3, −4)?

Answer: −2. Slope = (−4 − 4) ÷ (3 − (−1)) = −8 ÷ 4 = −2.

Question 5

Solve: 5 − 3x ≤ 14

Answer: x ≥ −3. Subtract 5: −3x ≤ 9. Divide by −3 and flip the inequality sign: x ≥ −3.

Question 6

If f(x) = 2x² − 3x + 1, what is f(−2)?

Answer: 15. f(−2) = 2(−2)² − 3(−2) + 1 = 2(4) + 6 + 1 = 15. Squaring first is the key step: (−2)² = 4.

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PERT math test facts

The PERT (Postsecondary Education Readiness Test) is the placement test used by Florida’s public colleges. The math subtest decides which math course you can start with, so a few extra points can save you a semester of developmental classes.

Because the test is untimed, accuracy matters far more than speed. Read every question twice, write out each step, and check your answer by plugging it back in when you can. Scores below 123 usually place you into Intermediate Algebra or a developmental course, depending on the score and your college.

For a simple study plan, spend one day each on linear equations, inequalities, polynomials and factoring, slope and graphing, and functions. Then try the Top 10 PERT Math Practice Questions and review every miss before test day.

Practice Quiz: 10 Questions

Frequently Asked Questions

How many questions are on the PERT math test?

The PERT math subtest has 30 multiple-choice questions. The reading and writing subtests also have 30 questions each. The test is computer adaptive, so the questions you see depend on how you answered the ones before them, and two students will not get exactly the same set of questions.

Is the PERT math test timed?

No. The PERT has no time limit, although many students finish the math section in about 45 to 60 minutes. Because you are not racing a clock, use the extra time to write out each step, double-check signs and exponents, and plug answers back into equations when you can.

What PERT math score do you need for College Algebra?

A PERT math score of 123 or higher places you into College Algebra (MAC 1105) or a higher course. Lower scores lead to Intermediate Algebra or developmental math, depending on the score and your college. Ask your college’s testing center about its placement ranges and retake rules.

How can I practice for the PERT math test for free?

Start with sample questions like the ones on this page, working each on paper before checking the solution. Keep a list of every question you miss and the skill behind it, such as factoring or slope. Review those skills, then try a fresh set of questions to see whether your accuracy improves.

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