Download The Addition Property of Equality if a = b, then a + c = b + c

Chapter 1
Solving Linear Equations
1.1 Solving Simple Equations
To solve for an equations means…
• To isolate the variable by doing inverse
opertaions
Equivalent Equations
• Have the same solution
The Addition Property of Equality
if a = b, then
a+c=b+c
The Subtraction Property of Equality
if a = b, then
a -c = b -c
Show your work exactly like this:
Write the problem:
Add same number to
both sides of “=“:
Write answer with
box around it
x+7=2
-7
-7
x = -5
1
3
x 
2
2
1 1
3 1
x   
2 2
2 2
 3 1
x

2
2
4


2
2
2 2
m 
9 3
2 2 6 2
m   
9 9 9 9
4
m
9
The Multiplication Property of
Equality
If a
= b, then ac = bc
Division Property of Equality
a
b
If a = b, then

c
c
c0
Solve: 5x = 30
5 x 30

5
5
x6
Show your work
exactly like this
tonight
Solve: -12x = -8
12 x 8

12 12
2
x
3
3
x  12
To solve an equation like:
4
Multiply both sides of the equation by
the reciprocal of the coefficient
4 3
4 48
  x  12  
3
3 4
3
x  16
3
5
Solve:   x
8
4
3 4
4 5 


 x

8 5 5 4

12
x
 40
3

x
10
5 x
5
7 
Solve: 
1 5
1
x  35
Triangle Sum Theorem
The sum of the measures of the
interior angles of a triangle is 180°.
mA + mB
+mC = 180°
A
B
C
Homework
• Textbook Page 7-9 (2-38) even