Review Unit 11 – Equivalent Expressions

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)