Created by Chris Johnson
13 questions
6th - 8th Grade
Math
Updated Dec 2025
Parts of Algebraic Expressions is a free printable mathematics worksheet for Grades 6–8 that builds fluency with the components of algebraic expressions. Across 13 questions—3 multiple-select and 10 multiple-choice items—students identify variables, coefficients, constants, operations, and terms, then analyze those parts in expressions such as 7x + 2y + 5 and 4y − 2h + (10 ÷ 5) + 17. The worksheet also asks students to connect coefficients and variables to a real-world football-scoring model, selecting an expression and counting its terms. This progression helps students distinguish a variable from its coefficient, recognize constants, count terms separated by addition or subtraction, and interpret what an algebraic expression represents. It is suitable for introducing or reviewing foundational algebra vocabulary in middle school mathematics. The worksheet includes a complete answer key, making it useful for guided practice, independent review, or a quick skills check.
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WorksheetsAnswer Keynumbers
, b)variables
, d)operations
an unknown amount that can be anything
r
7
4
x
, b)y
3
5
7
, b)2
p
4
6t + 3f + 1x + 2s
4
This Grade 6–8 worksheet uses 13 multiple-choice and multiple-select questions to develop students’ ability to identify variables, coefficients, constants, operations, and terms. Students analyze expressions such as 7x + 2y + 5, determine how many terms they contain, and apply the same structure to a football-scoring expression.
Introduce the vocabulary with a short worked example such as 7r, asking students to identify the variable and coefficient before moving to the multi-term expression 7x + 2y + 5. As students complete the questions, have them explain why 5 is the constant, why 7 and 2 are coefficients, and how addition or subtraction separates terms; finish by discussing how the football-scoring item represents different scoring events.
Students may select the entire term, such as 7x or 2y, instead of identifying its coefficient or variable separately. They may also count numbers within 10 ÷ 5 as separate terms or treat the plus sign as a term; the worksheet’s expression-counting items reinforce that 4y, −2h, (10 ÷ 5), and 17 make four terms.
You can assign it as a printable PDF or as a digital quiz on Wayground, and it includes a complete answer key for checking the 13 multiple-choice and multiple-select items. For printed submissions, scan student work with the Wayground for Teachers app to grade it efficiently.
In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the expression-identification and term-counting items easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping examples such as 7x + 2y + 5 and the football-scoring model available for practice.
Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.