Warm UpFind the number to make the equation true1) ___+ 9 = 14 2) ___+27= 35

3) ___-19 = 12 4) 11-___= 19

Simplify each expression5) -2(3x-8) 6) 8x – 4 – 8x –

9

Review of Distributive Property & Combing Like Terms

Simplify each expression

xx 7)64(3 )8(312 x

Try It OutSimplify each expression

xx 10)74(5

)16(8)57(7 mm

2.2 Solving Equations2.2 Solving Equations

Standard 5.0: Students solve multistep Students solve multistep problems, including word problems, problems, including word problems, involving linear equations and linear involving linear equations and linear inequalities in one variable and provide inequalities in one variable and provide justification for each step.justification for each step.

Solving One-Step EquationsSolving One-Step Equations*You must get the variable by itself. You can You must get the variable by itself. You can move numbers over by using the opposite move numbers over by using the opposite operation.operation.Examples:x + 5 = 7 x – 4 = - 3 x – (-3) = 10

Try It Out!Try It Out!Solve the following equations.1)1)x + 2 = 7 x + 2 = 7 2) x - 6 = -3 2) x - 6 = -3

3) x + (-3) = 2 3) x + (-3) = 2 4) x - 5 = -6 4) x - 5 = -6

2.3 Solving One Step Linear 2.3 Solving One Step Linear Equations Using Equations Using Multiplication or DivisionMultiplication or Division

Standard 5.0Standard 5.0: Students solve Students solve multistep problems, including multistep problems, including word problems, involving linear word problems, involving linear equations and linear inequalities equations and linear inequalities in one variable and provide in one variable and provide justification for each step.justification for each step.

1) Solve. -5t = 601) Solve. -5t = 60To get the variable by itself, which

number needs to be moved?-5

To move the -5, you have to do the opposite operation. What

operation will we use?division

1) Solve -5t = 60 -5 -5

t = -12

-5(-12) = 60

1. Draw the line to separate the equation into 2 sides

2. Divide both sides by -5

3. Simplify

4. Check your answer

2) Solve 24 = 6n 6 6

4 = n

24 = 6(4)

1. Draw the line

2. Divide both sides by 6

3. Simplify

4. Check your answer

3) Solve -3v = -129

1. v = -1262. v = -433. v = 434. v = 126

Answer Now

4) Solve

You don’t like fractions? Let’s get rid of them!

“You can get rid of fractions” by multiplying both sides of the equation

by the denominator.

x

4 12

4) Solve x

4 12

4 · · 4

x = -48

1. Draw the line

2. Clear the fraction – multiply both sides by 4

3. Simplify

4. Check your answer

x

4 12

248

14

1. Draw the line

2. Get rid of the fraction – multiply both sides by the reciprocal

5) Solve = 18 2x

3

952 x 2044 x

Try It Out

13)5(2 x34410 x

1153 x 2084 x

Examples

353

x

103

7

x

HomeworkP. 81 #1-6, 10-11, 13-22P. 88 #14-19, 28-33, 34-37P.95 #1-5, 11-22