#### Transcript of Chapter 1 Solving Linear Equations

**Chapter One**

1.1: Solving Simple Equations

To solve a simple equation, use the inverse operation.

(Addition - Subtraction/ Multiplication - Division)

1.3 Solving Equations with Variables on Both Sides

To solve equations with variables on both sides, collect the variable terms on one side and the constant terms on the other side.

**Chapter Sections**

1.1 Solving Simple Equations

1.2 Solving Multi-Step Equations

1.3 Solving Equations With Variables On Both Sides

b. Solutions Of Linear Equations

1.4 Rewriting Equations And Formulas

1.5 Converting Units Of Measure

1.3b Solving Absolute Value Equations

An absolute value equation is an equation that contains an absolute value expression. Here are three examples:

l x l = 2

l x + 1 l = 5

3 l 2x + 1 l = 6

You can solve these kinds of equations by solving two related linear equations.

1.4 Rewriting Equations And Formulas

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Solving Equations

**By: Virginia Barnes, Mikayla Morello, Abby Auger, Ms.Shao**

1.2: Solving Multi-Step Equations

**Chapter One:**

Solving Simple Equations

To solve

l ax + b l = c

for

c >= 0

, solve the related linear equations:

ax + b = c

and

ax + b = -c

To rewrite equations, you have to solve for one variable in terms of the other variable(s). Get the variable you want to solve by itself

Example:

l x - 4 l = 6

1. Write two linear equations

x - 4 = 6

, and

x - 4 = -6

2. Solve both equations

+4

+4

3. Graph your answers

x = 10

and

x = -2

2y + 5x = 6

-5x -5x

First, figure out what y represents.

You would subtract 5x from each side of the equation.

2y = 6 - 5x

Now divide each side by 2.

y = 3 - 5/2x

1.5 Converting Units of Measure

To convert units of measurement, you must know how each measurement relates to each other.

Once you figure out what each measurement converts to, you will be able to solve equation with no problem.

10qt = ?L

4km = ?mi

Example:

Write the equation.

15 - 2x = -7x

Collect the variables on the right side

+2x +2x

Simplify

15 = -5x

Divide Each Side by Negative Five

-3 = x

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