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Praxis Core Academic Skills for Educators: Reading (5713) and Mathematics (5733)

Algebra and Geometry: practice questions

Our Praxis Core bank has 64 questions on this topic. Here are 5 of them with answers; the full mock exam draws from every topic, like the real one.

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Question 1

What are the solutions of x² = 49?

  1. x = 7 only
  2. x = 24.5
  3. x = 7 or x = −7
  4. x = 49 or x = −49
  5. x = −7 only
Show the answer

C. x = 7 or x = −7 — Both 7² and (−7)² equal 49.

Question 2

A circle has a radius of 5 cm. What is its area? (Use π ≈ 3.14)

  1. 31.4 cm²
  2. 15.7 cm²
  3. 314 cm²
  4. 78.5 cm²
  5. 25 cm²
Show the answer

D. 78.5 cm² — A = πr² ≈ 3.14 × 25 = 78.5.

Question 3

What is the slope of the line through (1, 2) and (5, 10)?

  1. 2
  2. 1/2
  3. 8
  4. 4
  5. 3
Show the answer

A. 2 — (10 − 2) ÷ (5 − 1) = 8 ÷ 4 = 2.

Question 4

Using C = 60 + 45h, how many hours did a job take if the bill was $240?

  1. 3
  2. 4.5
  3. 5
  4. 4
  5. 5.3
Show the answer

D. 4 — 240 − 60 = 180; 180 ÷ 45 = 4.

Question 5

A circle has a diameter of 10 in. What is its circumference? (Use π ≈ 3.14)

  1. 15.7 in
  2. 78.5 in
  3. 62.8 in
  4. 314 in
  5. 31.4 in
Show the answer

E. 31.4 in — C = πd ≈ 3.14 × 10 = 31.4.

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