Chapter 1 Solving Linear Equations. 1.1 Solving Simple Equations.
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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 Equalityif a = b, then a + c = b + c
The Subtraction Property of Equality
if a = b, then a -c = b -c
x + 7 = 2
Show your work exactly like this:Write the problem:Add same number to both sides of “=“:Write answer with
box around it
- 7 - 7
x = -5
2
3
2
1x
11 3
2 2
1
2 2x
2
1
2
3
x
2
4 2
2 2
9 3m
2 2
9
2 6
9 9 9m
4
9m
The Multiplication Property of Equality
If a = b, then ac = bc
Division Property of Equality
If a = b, then
0
a b
c cc
Solve: 5x = 30
5
30
5
5
x
6x
Show your work exactly like this
tonight
Solve: -12x = -8
12 8
12 12
x
2
3x
To solve an equation like:
Multiply both sides of the equation by the reciprocal of the coefficient
13 3
3
4
4 42x
312
4x
48
3
16x
Solve: x4
5
8
3
x
4
5
5
4
5
4
8
3
x 40
12x
10
3
Solve: 75
x
35x
5
1
5
1
Triangle Sum TheoremThe sum of the measures of the
interior angles of a triangle is 180°.
A C
BmA + mB
+mC = 180°
Homework
• Textbook Page 7-9 (2-38) even
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