Chapter 4
4.1: Understanding Equivalent Equations
Objective…
Part A: Identify Equivalent Equations
Are these expressions equivalent?
Problem
4x + 3 + 3x = 7x + 3
Yes or No
4x + 6 = 2(2x + 3)
2(x – 5) = 2x – 10
8x – 4 + 5x = 13x + 4
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Balance
Algebraic Equation
Chapter 4
4.1: Understanding Equivalent Equations
Identify Equivalent Equations…
1)
2)
x + 3 + 6x = 13 and 7x + 3 = 13
a. Yes or No
2
m = 4 and m = 6
3
a. Yes or No
b. WHY?
b. WHY?
5x – 4 = 6 and 5x = 20
3)
4)
6m + 4 = 10 and m = 7
a. Yes or No
a. Yes or No
b. WHY?
b. WHY?
Practice… State whether each pair of equations are equivalent equations
1)
x – 3 + 4x = 5 and 5x = 2
3)
1.2x = 2.4 and x – 6 = 8
2)
x + 7 = 12 and 2x = 10
4)
2
m = 4 and m = 10
5