Grade 7 · Algebra & functions

Combining like terms and distributing practice

Combining like terms and distributing is a grade 7 math skill aligned to Common Core standard 7.EE.A.1: apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 68 combining like terms and distributing problems our math games drill.

CCSS 7.EE.A.168 questions in the bank

Sample questions

Try 8 for free

Question 1easy

Simplify: $-3x - 10 + 5x + 2$ .

Combine: $-3x + 5x = 2x$ , $-10 + 2 = -8$ . Result: $2x - 8$ .

Question 2easy

Simplify: $5(9x - 5)$ .

Distribute 5: $5 \cdot 9x + 5 \cdot -5 = 45x - 25$ .

Question 3easy

Simplify: $1x + 6 + 2x - 8$ .

Combine $x$ -terms: $1x + 2x = 3x$ . Combine constants: $6 - 8 = -2$ . Result: $3x - 2$ .

Question 4easy

Simplify: $2x - 7 - 4x + 3$ .

Combine: $2x + -4x = -2x$ , $-7 + 3 = -4$ . Result: $-2x - 4$ .

Question 5easy

Simplify: $4(7x + 2)$ .

Distribute 4: $4 \cdot 7x + 4 \cdot 2 = 28x + 8$ .

Question 6easy

Simplify: $8x + 2 + 8x - 1$ .

Combine $x$ -terms: $8x + 8x = 16x$ . Combine constants: $2 - 1 = 1$ . Result: $16x + 1$ .

Question 7easy

Simplify: $-6x - 8 - 2x - 7$ .

Combine: $-6x + -2x = -8x$ , $-8 + -7 = -15$ . Result: $-8x - 15$ .

Question 8easy

Simplify: $2(4x - 3)$ .

Distribute 2: $2 \cdot 4x + 2 \cdot -3 = 8x - 6$ .

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Math games for Grade 7

Questions like these are served inside our head-to-head math games.

Blaster Gate game

Blaster GateBlast through the wall. First to clear wins.

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Blitz TanksSolve math to load shells. Out-think the battalion. Last math standing wins.

Tests that cover combining like terms and distributing:

NAEP SBAC ACT VTCAP NC EOG/EOC

More Grade 7 skills:

Angle relationships Compound probability Integer operations Percent problems Circle formulas One-event probability word problems Percent proportion word problems Solving one- and two-step linear equations All Grade 7 practice →

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