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MA.7.AR.1.2 · Number Sense and Operations and Algebraic Reasoning

Deciding Whether Two Linear Expressions Are Equivalent: Sample FAST Questions

Students determine whether two linear expressions are equivalent, for example whether (4/3)(6 − x) − 3x and 8 − (5/3)x name the same thing. They simplify both fully, or substitute a test value into each, and then compare coefficients and constants.

How the FAST tests this benchmark

FAST items are usually multiselect questions asking students to choose every expression equivalent to a given one, plus single-answer multiple choice versions. Distractors are built from the exact slips students make: distributing to only the first term, or losing a sign.

Skills students need

  • Simplify two linear expressions and compare them
  • Use substitution to test whether two expressions are equivalent
  • Identify the step in a simplification that broke equivalence

Try 6 real MA.7.AR.1.2 questions

These come straight from Algebro's 7th grade question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyEquation Editor
Simplify 10x+3−4x10x + 3 - 4x by combining like terms. Write the result in the form ax+bax + b.

Enter the full expression. If it has a variable, include it.

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More 7th grade number sense and algebra benchmarks

MA.7.AR.2.1

Writing, Solving, and Graphing One-Step Inequalities

MA.7.AR.2.2

Writing and Solving Two-Step Equations

MA.7.NSO.1.1

Laws of Exponents with Rational Bases

MA.7.AR.1.2: Equivalent Expressions Practice | Algebro