SAT Math Practice Quiz: Algebra and Geometry

Try the two algebra and geometry questions below, then ask QuizGen for more practice on the topics you missed. These are original practice questions, not official SAT questions.

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Two algebra and geometry practice questions

Solve each question before opening the answer. These two examples review basic skills; they do not represent the difficulty or scope of a full SAT test.

1. Algebra: write a linear equation

A school club pays $24 to reserve a room and $6 for each member who attends. The total cost is $90. How many members attend?

  1. 9
  2. 11
  3. 15
  4. 19
Show algebra answer and steps

Answer: B. 11 members. Let n be the number of members. The room fee plus the cost per member gives 24 + 6n = 90. Subtract 24 to get 6n = 66, then divide by 6 to get n = 11. Check: 24 + 6 × 11 = 90.

2. Geometry: find a right triangle’s hypotenuse

A right triangle has legs of length 9 and 12. What is the length of its hypotenuse?

  1. 15
  2. 18
  3. 21
  4. 25
Show geometry answer and steps

Answer: A. 15. By the Pythagorean theorem, c² = 9² + 12² = 81 + 144 = 225. A length is positive, so c = √225 = 15. The hypotenuse is longer than either leg, which is consistent with 15.

To review the skill you missed, edit the quiz prompt above to ask for linear equations or right triangles. Read each generated explanation and check the calculation.

For a full-length test, use College Board’s official SAT practice tests.

How it works

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SAT Math practice FAQ

Is this a full SAT practice test?

No. This page focuses on algebra and geometry practice. Use College Board’s Bluebook practice tests for a full-length SAT test.

Can I choose which math topics to practice?

Edit the prompt to name the skills you want, such as systems of equations or right triangles. You can also paste your class notes.

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