Simplify: 3(x + 5) - 3/2x - 9
Show algebraic work: __________________________________
CCSS 7.EE.A.1 · add, subtract & simplify expressions
Simplifying Linear Expressions Worksheet Generator
Practice the actual 7.EE.A.1 chain: distribute across parentheses, preserve signs, then combine like terms into an equivalent linear expression. Standard and challenge sets introduce exact rational coefficients without turning the worksheet into an eighth-grade equation set.
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Simplify Linear Expressions
Simplify linear expressions · Grade 7 standard · Seed 271801
1.
2.
Simplify: -3/2(x - 5/2) - 5x + 3/2
Show algebraic work: __________________________________
3.
Simplify: -5/2(x - 3) - 3/2x - 7/2
Show algebraic work: __________________________________
4.
Simplify: 2(x - 12) + 6x + 10
Show algebraic work: __________________________________
5.
Simplify: 2(x - 7/2) + 6x + 4
Show algebraic work: __________________________________
6.
Simplify: 2(x + 9) - 1/2x - 3
Show algebraic work: __________________________________
7.
Simplify: -5/2(x - 2) + 5x - 6
Show algebraic work: __________________________________
8.
Simplify: 1/2(x + 3) + x - 7
Show algebraic work: __________________________________
9.
Simplify: -4(x + 8) + 5/2x + 1/2
Show algebraic work: __________________________________
10.
Simplify: 4(x + 5) + 1/2x + 3
Show algebraic work: __________________________________
Construction rule: equations are built around known exact solutions, expression rewrites use exact rational arithmetic, 7.EE.3 money stays in integer cents, and inequality answer graphs are withheld until answers are revealed.
Teaching note 1
Distribute before combining terms that are not yet like terms.
Teaching note 2
A negative factor changes the sign of every term inside the parentheses.
Teaching note 3
Keep fractional coefficients exact; do not replace them with rounded decimals midway through the rewrite.
Continue the 7.EE progression
Move to another Grade 7 algebra skill
Frequently asked questions
Do these include rational coefficients?
Yes. Foundation mode is mostly integer-based; standard and challenge modes introduce exact fractional coefficients.
Are students solving for x?
No. This route is expression rewriting, not equation solving; solving appears later in the 7.EE progression.