Free Printable Evaluating Expressions Worksheets for Year 6

Sixth graders are often encountering variables for the first time, so the substitution step needs explicit attention — don't assume they understand that 3x means 3 times x. A reliable approach: write the expression, rewrite it with the variable replaced by a blank, fill in the value, then apply order of operations. Keeping those two steps visually separate on paper helps students build the habit before the problems get more complex.

Start with single-variable expressions using whole numbers, then introduce integers, then fractions and decimals. Problems that use the same expression with different input values — evaluate 4x + 2 when x = 3, then when x = 7 — are especially useful because they reinforce that the expression itself doesn't change, only the substituted value does. That distinction is foundational for later work with functions.

The two most predictable errors: adding before multiplying (skipping or misapplying PEMDAS), and treating a coefficient like 5n as 5+n. A third one shows up once fractions enter the picture — students substitute correctly but then make arithmetic errors with the fraction itself. Isolating each of these in targeted practice sets, rather than mixing all problem types at once, makes it easier to identify which habit a student needs to correct.

Every worksheet includes a complete answer key, so it works well for independent practice or homework where students self-check. For in-class use, hosting it as a digital quiz on Wayground gives you real-time visibility into where students are getting stuck. If you prefer paper, the printable PDF is ready to go — and the Wayground for Teachers app lets you scan completed worksheets for grading rather than scoring them by hand.

Yes. Common Core introduces evaluating expressions in 6th grade as part of the transition from arithmetic to algebraic thinking. At this level, students are expected to evaluate expressions for specific values of their variables, including expressions with whole-number exponents, and to apply the order of operations correctly. This work directly prepares them for writing and solving one-variable equations and inequalities later in the same year.

For students still building reading fluency, the Read Aloud feature ensures the math itself isn't blocked by difficulty parsing the written problem. For students who feel overwhelmed by multi-step expressions, reducing answer choices on digital questions gives them a foothold while they build confidence. You can also generate a version of the worksheet with a dyslexia-friendly font or larger text — same problems, more accessible format.