Praxis Core Teaching Exam Practice Test

Free 5-question sample test with instant feedback. See how ready you are.

Loading quiz...

Sample Questions

Question 1

What is the result of simplifying the expression 3x + 5x − 2x?

Answer: 6x. Combine like terms by adding and subtracting coefficients: 3 + 5 − 2 = 6.

Question 2

What does it mean to 'factor' an algebraic expression?

Answer: Factoring means rewriting an expression as a product of its factors, such as writing x² + 5x + 6 as (x + 2)(x + 3).

Question 3

Using the distributive property, what is the expanded form of 4(3x − 7)?

Answer: 12x − 28. Multiply 4 by each term inside the parentheses: 4 · 3x = 12x and 4 · (−7) = −28.

Question 4

What is the greatest common factor (GCF) of 12x²y and 8xy²?

Answer: 4xy. The GCF of 12 and 8 is 4, and the lowest power of each shared variable is x¹ and y¹.

Question 5

What is the value of the expression 2a² − 3b when a = 3 and b = 4?

Answer: 6. Substitute: 2(3²) − 3(4) = 2(9) − 12 = 18 − 12 = 6.