Download 8_2 Solving 2 steps

8.2 Solving Two Step Equations
2 more Properties of Equality
Addition Property of Equality
Subtraction Property of
Eqaulity
If a=b
If a=b
Then
a
–
c
=
b
–
c
Then a+c =b+c
Steps to Solve Multistep Equation
1. Simplify both sides of the equal sign
(collect like terms if there are any)
2.) Use the Addition or Subtraction Property of
Equality
3.) Use Multiplication of Division Property of
Equality
Example 1: Solve
3x + 4 = 13
-4
-4
3x = 9
3
3
x=3
Example 2: Solve
1 x + 6 = 21
5
-6 -6
5 1
x = 15 5
1 5
1
x = 75
Ex 3: 6x + 2x = 16
If there are like terms on one
side of the equation, collect
them before using the properties
8x = 16
x=2
Ex 4: 9x - 4x = 20
5x = 20
5
5
x4
check : 9  4  4  4  20?
36 16  20
Ex 5: 9x + 3x – 5 = 19
12x – 5 = 19
+5
+5
12x = 24
12
12
x=2
Assignment:
Page 336 (28-62) even