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TSI Math Practice Test

Free TSI math test with 15 questions, instant scoring, explanations and a printable answer key. No sign-up.

TSI Math Practice Test is a free online practice test with 15 questions on linear equations, algebraic expressions, percentages, fractions, slope, exponents, factoring, quadratics, geometry, rates, inequalities, systems of equations, ratios, distance formula and probability. The questions cover algebra, percentages, fractions, slope, exponents, factoring, quadratics, geometry, rates, ratios, the distance formula and probability. This is independent practice and is not affiliated with the official exam provider. The test scores itself, and it shows the correct answer and an explanation for every question you miss.

Take it in test mode to see your score and answers at the end, or in practice mode to check each answer straight away. A printable version and an answer key are included, and the test takes about 25 minutes.

This test needs JavaScript. The questions and the answer key are also listed further down the page.

TSI Math Practice Test

Name: ______________________ Date: ______________

  1. Solve for x: 2x + 9 = 31.

    Answer: ______________

  2. Find the value of 3x² − x when x = −2.

    Answer: ______________

  3. What is 15% of 80?

    Answer: ______________

  4. What is 3/4 + 5/6? Write your answer as an improper fraction.

    Answer: ______________

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

    Answer: ______________

  6. What is (2³)² written as a single number?

    Answer: ______________

  7. Which is the factored form of x² − 9?

    A. (x − 3)(x + 3)    B. (x − 3)²    C. (x + 3)²    D. (x − 9)(x + 1)

  8. What is the larger solution of x² − 5x + 6 = 0?

    Answer: ______________

  9. A circle has a diameter of 10. What is its area? Use 3.14 for pi.

    Answer: ______________

  10. A car travels 150 miles in 2.5 hours. What is its average speed in miles per hour?

    Answer: ______________

  11. Solve 2x − 3 > 7.

    A. x > 5    B. x < 5    C. x > 2    D. x < 2

  12. 2x + y = 11 and x − y = 1. What is x?

    Answer: ______________

  13. Two numbers are in the ratio 3 : 5 and add up to 64. What is the larger number?

    Answer: ______________

  14. What is the distance between (1, 2) and (7, 10)?

    Answer: ______________

  15. A bag has 2 red, 3 blue and 5 green marbles. What is the probability of picking a marble that is not green? Write a fraction in simplest form.

    Answer: ______________

Answer key: TSI Math Practice Test

  1. 11
  2. 14
  3. 12
  4. 19/12
  5. -2
  6. 64
  7. (x − 3)(x + 3)
  8. 3
  9. 78.5
  10. 60
  11. x > 5
  12. 4
  13. 40
  14. 10
  15. 1/2

What this test covers

  • Linear equations (1 question)
  • Algebraic expressions (1 question)
  • Percentages (1 question)
  • Fractions (1 question)
  • Slope (1 question)
  • Exponents (1 question)
  • Factoring (1 question)
  • Quadratics (1 question)
  • Geometry (1 question)
  • Rates (1 question)
  • Inequalities (1 question)
  • Systems of equations (1 question)
  • Ratios (1 question)
  • Distance formula (1 question)
  • Probability (1 question)

How the test works

Test mode and practice mode

In test mode you answer every question first and see your score, the time you took and the answers at the end. In practice mode you press Check after each answer to see right away whether it is correct, with the explanation.

How answers are scored

For questions with a number as the answer, you can type a whole number, a decimal such as 2.5, or a fraction such as 3/4. A dollar or pound sign is ignored, and a fraction and its decimal value count as the same answer. Multiple choice questions have one correct choice.

Printing the test and the answer key

Use Print the test for a paper copy with a space for each answer, and Print the answer key for the matching answers. Both print without the rest of the page.

Questions and answer key

The questions

  1. Solve for x: 2x + 9 = 31.
  2. Find the value of 3x² − x when x = −2.
  3. What is 15% of 80?
  4. What is 3/4 + 5/6? Write your answer as an improper fraction.
  5. What is the slope of the line through (−1, 4) and (3, −4)?
  6. What is (2³)² written as a single number?
  7. Which is the factored form of x² − 9? (A. (x − 3)(x + 3); B. (x − 3)²; C. (x + 3)²; D. (x − 9)(x + 1))
  8. What is the larger solution of x² − 5x + 6 = 0?
  9. A circle has a diameter of 10. What is its area? Use 3.14 for pi.
  10. A car travels 150 miles in 2.5 hours. What is its average speed in miles per hour?
  11. Solve 2x − 3 > 7. (A. x > 5; B. x < 5; C. x > 2; D. x < 2)
  12. 2x + y = 11 and x − y = 1. What is x?
  13. Two numbers are in the ratio 3 : 5 and add up to 64. What is the larger number?
  14. What is the distance between (1, 2) and (7, 10)?
  15. A bag has 2 red, 3 blue and 5 green marbles. What is the probability of picking a marble that is not green? Write a fraction in simplest form.

Answers and explanations

QuestionAnswerExplanation
111Subtract 9 to get 2x = 22, then divide by 2: x = 11.
214x² = 4, so 3 × 4 = 12. Then −x = 2, so 12 + 2 = 14.
31210% of 80 is 8 and 5% is 4. 8 + 4 = 12.
419/123/4 = 9/12 and 5/6 = 10/12. 9/12 + 10/12 = 19/12.
5-2Slope = change in y ÷ change in x = −8 ÷ 4 = −2.
664Multiply the exponents: (2³)² = 2⁶ = 64.
7(x − 3)(x + 3)x² − 9 is a difference of two squares, which factors as (x − 3)(x + 3).
83Factor as (x − 2)(x − 3) = 0, so x = 2 or x = 3. The larger is 3.
978.5The radius is 5, so the area is π × 5² = 3.14 × 25 = 78.5.
1060Speed = distance ÷ time = 150 ÷ 2.5 = 60.
11x > 5Add 3 to get 2x > 10, then divide by 2: x > 5.
124Add the equations to get 3x = 12, so x = 4.
1340There are 8 parts. One part is 8, so the larger number is 5 × 8 = 40.
1410The differences are 6 and 8. 6² + 8² = 100, and the square root of 100 is 10.
151/2There are 10 marbles and 5 are not green, so 5/10, which simplifies to 1/2.

Tips for TSI math

  • Practise factoring and the quadratic patterns until you can spot them quickly.
  • Write the formula first, then substitute the numbers, for geometry and distance questions.
  • Check a systems of equations answer in both equations.

Frequently asked questions

How many questions are on this test?

There are 15 questions. Most students need about 25 minutes, but there is no time limit.

Can I print this test?

Yes. Use the Print the test button for the questions and Print the answer key for the answers. The full question list and answer key are also on this page.

Does the test show the answers?

Yes. At the end you see the correct answer and an explanation for every question, and in practice mode you see them after each question.

Do I need an account?

No. There is no sign-up. Your best score is kept only in your own browser.

What should I do if I miss questions?

Look at the skills table on your result page, read the explanations for the questions you missed, and take the test again. If a step in your working looks wrong, the answer checker on this site can help you find the slip.