Worksheet #6 features ten practice problems designed to help students master simplifying algebraic expressions through distribution and combining like terms.

Math worksheet #6 for simplifying expressions using distributive property and combining like terms.

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1. -6n(n - 7) + 8(5 + 6n) = -6n² + 42n + 40 + 48n = -6n² + 90n + 40
2. -7(4x + 4) + 3x(8x + 7) = -28x - 28 + 24x² + 21x = 24x² - 7x - 28
3. 5(3n + 2) + 8n(-2n + 1) = 15n + 10 - 16n² + 8n = -16n² + 23n + 10
4. 6(3x + 8) + 8(1 - 3x) = 18x + 48 + 8 - 24x = -6x + 56
5. -6x(x - 6) + 7x(x + 5) = -6x² + 36x + 7x² + 35x = x² + 71x
6. -3n(n - 3) + 3n(n - 5) = -3n² + 9n + 3n² - 15n = -6n
7. 3x(-2x + 3) - 4(-1 - 4x) = -6x² + 9x + 4 + 16x = -6x² + 25x + 4
8. -4(5 - 2x) - 7x(8 - 6x) = -20 + 8x - 56x + 42x² = 42x² - 48x - 20
9. n(-8n + 8) - 8(n + 1) = -8n² + 8n - 8n - 8 = -8n² - 8
10. 6(5 - n) + 8(-n + 1) = 30 - 6n - 8n + 8 = -14n + 38

Parent Tip: Review the logic above to help your child master the concept of expression worksheet 7th grade.

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