Combining like terms and distributing. Game on.

Combining like terms and distributing is a grade 6 math skill aligned to Common Core standard 6.EE.A.3. 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 6.EE.A.368 questions in the bank
Kickoff

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Warm-upeasy

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

Combine: −3x+5x=2x-3x + 5x = 2x, −10+2=−8-10 + 2 = -8. Result: 2x−82x - 8.

Mid-gameeasy

Simplify: 5(9x−5)5(9x - 5).

Distribute 5: 5⋅9x+5⋅−5=45x−255 \cdot 9x + 5 \cdot -5 = 45x - 25.

Mid-gameeasy

Simplify: 1x+6+2x−81x + 6 + 2x - 8.

Combine xx-terms: 1x+2x=3x1x + 2x = 3x. Combine constants: 6−8=−26 - 8 = -2. Result: 3x−23x - 2.

Mid-gameeasy

Simplify: 2x−7−4x+32x - 7 - 4x + 3.

Combine: 2x+−4x=−2x2x + -4x = -2x, −7+3=−4-7 + 3 = -4. Result: −2x−4-2x - 4.

Mid-gameeasy

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

Distribute 4: 4⋅7x+4⋅2=28x+84 \cdot 7x + 4 \cdot 2 = 28x + 8.

Mid-gameeasy

Simplify: 8x+2+8x−18x + 2 + 8x - 1.

Combine xx-terms: 8x+8x=16x8x + 8x = 16x. Combine constants: 2−1=12 - 1 = 1. Result: 16x+116x + 1.

Mid-gameeasy

Simplify: −6x−8−2x−7-6x - 8 - 2x - 7.

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

Buzzer beatereasy

Simplify: 2(4x−3)2(4x - 3).

Distribute 2: 2⋅4x+2⋅−3=8x−62 \cdot 4x + 2 \cdot -3 = 8x - 6.

Overtime

60 more. Played, not assigned.

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