Review Unit 11 – Equivalent Expressions Common Core Standards 7.EE.1. Apply properties of operations as strategies to add, subtract, factor, and expand linear expressions with rational coefficients. 7.EE.2. Understand that rewriting an expression in different forms in a problem context can shed light on the problem and how the quantities in it are related. For example, a + 0.05a = 1.05a means that “increase by 5%” is the same as “multiply by 1.05.” WARM-UP Simplify the expressions. 1) 6x + x + 8x 3) 5x + 8y − 4x 2) 13xy − 12xy 4) (3x + 4) + (2x − 3) Equivalent Expressions When you don't know the value of x you can't evaluate but you can make expressions simpler. 2(3x + 4x + 5x) = 6x + 8x + 10x = 24x REVIEW Simplify the expressions. −6x − y + 5x 2.4x + .6x − 6 7x − 4y + x + 9y 1 1 y+ y 2 4 REVIEW Circle the coefficient of y 9x + 2y + 1 −3x + y + 5 REVIEW Simplify the expression. expressions. −6(5x)(2y) 2 × 15y 5 1 − (−14x) 7 .3(6x) REVIEW Simplify the expressions. 7(2xy − 3y + 6) 1 (6x − 2y) + 14 2 8(x + 2y) − 7x .3(4 − x) REVIEW Simplify the expressions. −3(5x − 4y) −(x + 9) + 3(x + 6) −4(2x − 6) − 30 3(4x + 2) − 10(x + 1) REVIEW Simplify the expressions. .4(x − 6) + 1.6x 5(x + 1) − (x + 3) REVIEW Find the factors of the expressions. 2x + 16y − 8 −18x + 45 PRACTICE Simplify the expressions. −(7 − 3x) + 9 1 (−3x + 21xy + 12y) 3 Replace the ? with a number to make the expressions equivalent. ?(2x + 12) = −6x − 36 FINAL QUESTION Copy the expressions that are equivalent to -1.2y + 6. −1.2(y + 6) −1.2(y − 5) −1.2(y + 5)
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