High School Math quiz

High School Math Quiz

Practice high school math questions about algebra, functions, geometry, exponents, systems of equations, quadratic expressions, probability, and statistics. Use hints when needed, choose an answer, and review the explanation after each question.

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1 Question 1 of 10

Not answered

Solve for x: 3x + 8 = 2x + 19

Hint: Move the x-terms to one side and the constants to the other side.

Explanation: Subtract 2x from both sides: x + 8 = 19. Subtract 8 from both sides: x = 11.

2 Question 2 of 10

Not answered

Factor the expression: x² + 7x + 12

Hint: Find two numbers that multiply to 12 and add to 7.

Explanation: The numbers 3 and 4 multiply to 12 and add to 7. So x² + 7x + 12 = (x + 3)(x + 4).

3 Question 3 of 10

Not answered

If f(x) = 2x² - 3x, what is f(4)?

Hint: Substitute x = 4 into the function and calculate the power first.

Explanation: f(4) = 2(4²) - 3(4) = 2(16) - 12 = 32 - 12 = 20.

4 Question 4 of 10

Not answered

What is the slope of the line through points (1, 4) and (5, 12)?

Hint: Slope = change in y divided by change in x.

Explanation: The change in y is 12 - 4 = 8. The change in x is 5 - 1 = 4. The slope is 8/4 = 2.

5 Question 5 of 10

Not answered

Solve the system: x + y = 14 and x - y = 2. What is y?

Hint: Add the equations first to find x, then substitute back to find y.

Explanation: Add the equations: 2x = 16, so x = 8. Substitute into x + y = 14: 8 + y = 14, so y = 6.

6 Question 6 of 10

Not answered

A right triangle has legs 10 and 24. What is the hypotenuse?

Hint: Use the Pythagorean theorem: a² + b² = c².

Explanation: 10² + 24² = 100 + 576 = 676. The square root of 676 is 26, so the hypotenuse is 26.

7 Question 7 of 10

Not answered

Simplify: (2³)(2⁵) / 2²

Hint: When multiplying powers with the same base, add exponents. When dividing, subtract exponents.

Explanation: (2³)(2⁵) / 2² = 2^(3+5-2) = 2⁶.

8 Question 8 of 10

Not answered

What is the solution to x² = 49?

Hint: A positive square can come from a positive or a negative number.

Explanation: Both 7² and (-7)² equal 49. Therefore, x = ±7.

9 Question 9 of 10

Not answered

A bag contains 5 red, 4 blue, and 3 green marbles. What is the probability of choosing a blue marble?

Hint: Probability = favorable outcomes divided by total outcomes, then simplify.

Explanation: There are 4 blue marbles and 12 marbles total. The probability is 4/12 = 1/3.

10 Question 10 of 10

Not answered

The scores are 72, 85, 90, 90, and 98. What is the median score?

Hint: The data is already in order. Choose the middle value.

Explanation: There are 5 scores, so the median is the 3rd value. The 3rd value is 90.

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About this math quiz

This carousel quiz template shows one question at a time. Students can move back and forward, request a hint, answer the question, and then review the explanation.

You can reuse this file for Algebra, Geometry, Arithmetic, Fractions, Statistics, and Hard Math pages by changing the PHP array with questions at the top of the file.