Hard Math quiz

SAT Math Quiz

Practice SAT-style math questions about algebra, functions, ratios, percentages, geometry, data analysis, systems of equations, and problem solving. 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

If 2x + 7 = 19, what is the value of x?

Hint: Subtract 7 from both sides first.

Explanation: Subtract 7 from both sides: 2x = 12. Divide by 2, so x = 6.

2 Question 2 of 10

Not answered

A line has equation y = 3x - 4. What is the y-intercept?

Hint: In y = mx + b, the y-intercept is b.

Explanation: The equation is in slope-intercept form y = mx + b. Here b = -4, so the y-intercept is -4.

3 Question 3 of 10

Not answered

If f(x) = x² - 5x, what is f(6)?

Hint: Substitute 6 for x, then calculate 6² - 5(6).

Explanation: f(6) = 6² - 5(6) = 36 - 30 = 6.

4 Question 4 of 10

Not answered

A store increases the price of an item from $50 to $65. What is the percent increase?

Hint: Find the increase, then divide by the original price.

Explanation: The increase is 65 - 50 = 15. Divide by the original price: 15 ÷ 50 = 0.30 = 30%.

5 Question 5 of 10

Not answered

The ratio of boys to girls in a club is 4:5. If there are 36 students in the club, how many are girls?

Hint: The total number of ratio parts is 4 + 5.

Explanation: There are 4 + 5 = 9 total parts. Each part is 36 ÷ 9 = 4. Girls represent 5 parts, so 5 × 4 = 20.

6 Question 6 of 10

Not answered

Solve the system: x + y = 11 and x - y = 3. What is x?

Hint: Add the two equations to eliminate y.

Explanation: Add the equations: (x + y) + (x - y) = 11 + 3. This gives 2x = 14, so x = 7.

7 Question 7 of 10

Not answered

A right triangle has legs of length 8 and 15. What is the hypotenuse?

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

Explanation: 8² + 15² = 64 + 225 = 289. The square root of 289 is 17, so the hypotenuse is 17.

8 Question 8 of 10

Not answered

The average of 10, 14, 18, and x is 16. What is x?

Hint: If the average of 4 numbers is 16, their total is 4 × 16.

Explanation: The total must be 4 × 16 = 64. The known numbers add to 10 + 14 + 18 = 42. So x = 64 - 42 = 22.

9 Question 9 of 10

Not answered

Which expression is equivalent to (x + 3)(x + 4)?

Hint: Multiply each term in the first parentheses by each term in the second parentheses.

Explanation: (x + 3)(x + 4) = x² + 4x + 3x + 12 = x² + 7x + 12.

10 Question 10 of 10

Not answered

If 5a = 3b and b = 20, what is the value of a?

Hint: Substitute b = 20 into the equation first.

Explanation: Substitute b = 20: 5a = 3(20) = 60. Divide by 5, so a = 12.

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About this math quiz

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