Simplifying Algebraic Expressions worksheet with ten problems requiring substitution of given variable values.

Worksheet titled "Simplifying Algebraic Expressions" with ten problems involving substitution of variables into algebraic expressions, including variables h, r, x, and f, with provided values for simplification.

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1) h + 3h = 4h, use h = 4 → 4(4) = 16
2) h/4 + 2, use h = -12 → (-12)/4 + 2 = -3 + 2 = -1
3) -5(2x + 6), use x = -3 → -5(2(-3) + 6) = -5(-6 + 6) = -5(0) = 0
4) -9h + 6(8 + 4h), use h = -6 → -9(-6) + 6(8 + 4(-6)) = 54 + 6(8 - 24) = 54 + 6(-16) = 54 - 96 = -42
5) 7 - f/4 + 6f, use f = 16 → 7 - 16/4 + 6(16) = 7 - 4 + 96 = 99
6) -7(-3 - 2r), use r = -3 → -7(-3 - 2(-3)) = -7(-3 + 6) = -7(3) = -21
7) 2 - r/(-3), use r = -6 → 2 - (-6)/(-3) = 2 - 2 = 0
8) -4(-9 - 5x) + 6, use x = 9 → -4(-9 - 5(9)) + 6 = -4(-9 - 45) + 6 = -4(-54) + 6 = 216 + 6 = 222
9) 6x + 3x - 9, use x = 6 → 6(6) + 3(6) - 9 = 36 + 18 - 9 = 45
10) 4f - f, use f = 9 → 4(9) - 9 = 36 - 9 = 27

Parent Tip: Review the logic above to help your child master the concept of simplify numerical expressions worksheet.

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