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