Linear Equations, Inequalities, and Absolute Value - Solving Equations and Graphing The Solution Set...

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Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 1 : Graph the solution to 862 x

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 1 : Graph the solution to 862 x

Let’s first solve for the unknown…

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 1 : Graph the solution to 862 x

Let’s first solve for the unknown…

66 142 x

7 2

14

2

2

x

x

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 1 : Graph the solution to 862 x

Let’s first solve for the unknown…

66 142 x

7 2

14

2

2

x

x

Draw a simple number line…and plot your solution

0- 7

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 2 : Graph the solution to 1284 x

0

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 2 : Graph the solution to 1284 x

0

Let’s first solve for the unknown…

12 12

x816

x

x

2 8

8

8

16

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 2 : Graph the solution to 1284 x

0

Let’s first solve for the unknown…

12 12

x816

x

x

2 8

8

8

16

Draw a simple number line…and plot your solution

2

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 3 : Graph the solution to 1132 x

0

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 3 : Graph the solution to 1132 x

0

Let’s first solve the absolute value…

1132 x 1132 x

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 3 : Graph the solution to 1132 x

0

Let’s first solve the absolute value…

4

82

33

1132

x

x

x 1132 x

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 3 : Graph the solution to 1132 x

0

Let’s first solve the absolute value…

4

82

33

1132

x

x

x

7

142

33

1132

x

x

x

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 3 : Graph the solution to 1132 x

0

4

82

33

1132

x

x

x

7

142

33

1132

x

x

x

Graph the solution set on the number line…

- 4 7

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 4 : Graph the solution to x419

0

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 4 : Graph the solution to

x

x

48

11

419

0

Solve and get the absolute value by itself…

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 4 : Graph the solution to

x

x

48

11

419

0

Solve the absolute value equation… xx

xx

2 2

48 48

Linear Equations, Inequalities, and Absolute Value

- Solving Equations and Graphing The Solution Set

In this module we will be solving linear equations and absolute value equations and graphing their solution on a number line.

EXAMPLE # 4 : Graph the solution to

x

x

48

11

419

0

Solve the absolute value equation… xx

xx

2 2

48 48

2-2

Graph the solution set on the number line…

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