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MA.8.AR.1.3 · Algebraic Reasoning

Factoring Out a Common Monomial: Sample FAST Questions

Factoring in 8th grade starts with pulling a common monomial out of a sum, so 99x − 11x^3 becomes 11x(9 − x^2). Students find the greatest common factor of the coefficients and the smallest shared power of the variable.

How the FAST tests this benchmark

On the FAST, students see multiple choice items asking which factored form is equivalent and equation editor items where they write the factored expression themselves. Partial factoring, like pulling out the 11 but leaving the x behind, is the standard distractor.

Skills students need

  • Find the greatest common monomial factor
  • Rewrite a sum as a factor multiplied by a sum
  • Check a factorization by distributing
  • Recognize equivalent factored forms

Try 6 real MA.8.AR.1.3 questions

These come straight from Algebro's 8th grade pre-algebra question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyGraphing
Find the numeric part of the greatest common factor of 8x8x and 2020, then plot that number on the number line.

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More 8th grade algebraic reasoning benchmarks

MA.8.AR.2.1

Solving Multi-Step Linear Equations

MA.8.AR.2.2

Solving and Graphing Two-Step Inequalities

MA.8.AR.2.3

Solving Equations with Square Roots and Cube Roots

MA.8.AR.1.3: Factoring Monomials Practice | Algebro