Writing and Interpreting Expressions Worksheets, Grade 5 (5.OA.A.2) – Free PDF + Answer Key

First page of the writing and interpreting expressions practice worksheet

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Watch: Variables, Expressions, and Equations Explained | Algebra for Beginners

Key idea

Ask what happens last; everything that must be finished first goes in brackets. “From” and “by” run backwards. An expression can be interpreted without being evaluated.

Sample problems

Write an expression for: twice the sum of 9 and 6.
Write an expression for: half the sum of 14 and 6.
Write an expression for: divide 20 by 4, then add 3.
In words, say what (2 + 3) × 4 records. Then say what 2 + 3 × 4 records.

Common mistakes to watch for

Wrote 30. That is the value and not the expression — the standard asks for the RECORD of the calculation, because a record can be checked and changed while a number cannot.
Wrote 5 − 3 × 8 and 5 − 12, following the order the words name the numbers. Both are negative, and both have the right digits — a sign that the translation, not the arithmetic, is what went wrong.
Calculated 19853 and then 59559 and divided. The answer is right and the method is the one the standard rules out: the comparison is a fact about the STRUCTURE, and reading it from the structure is the skill being assessed.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket.
Mark with the answer key — each answer shows the steps and the most likely mistake.