formula ratio proportion percent of change weighted average equivalent equations solve an equation...

CHAPTER 2 DEFINITIONS

Formula Ratio Proportion Percent of change Weighted Average Equivalent Equations Solve an Equation Multistep Equations identify

"And in the end it's not the years in your life that count. It's the life in your years." Abraham Lincoln

2.3 SOLVING MULTISTEP EQUATIONS

Objective: Solve equations with more that one operation.

CFU 3102.3.11; Solve multi-step linear equations with one variable.

CLE 3102.3.4; Solve problems involving linear equations and linear inequalities.

SPI 3102.3.5 Write and/or solve linear equations, inequalities, and compound inequalities including those containing absolute value.

BALANCE

EQUIVALENT EQUATIONS

15 = 1515 + 3 = 15

18 = 18

m – 48 = 29

+ 3

21 + q = -18 142 + d = 97

+ 48 +48

m = 77

-21 -21

q = -39-142 -142

m = -45

EQUIVALENT EQUATIONS

Multiply by 5

k = 50

k = 10 5

k = 10 5

5* *5

k = 10 5

5* *5

Multiply by 3

a = 18

a = 6 3

a = 6 3

3* *3

a = 6 3

3* *3

Multiply by 11

x = 44

x = 4 11

x = 4 11

11* *11

x = 4 11

11* *11

EQUIVALENT EQUATIONS

25m = 100

Opposite Divide by 25

25m = 10025 25

25m = 10025 25

m = 4

5n = 35

Opposite Divide by 5

5n = 35 5 5

5n = 355 5

n = 7

4p = 24

Opposite Divide by 4

4p = 24 4 4

4 p= 244 4

p = 6

EQUIVALENT EQUATIONS

Multiply by 30

EQUIVALENT EQUATIONS

Opposite of multiplying by fraction is multiplying by its inverse!

½ B = 42

¾ D = 12

SOLVE EQUATIONS USING ALGEBRA TILES Turn to page 81 and 82

Working with your partner complete the activities

Turn to page 90 Working with your partner complete the

activities

As you work out each problem with the tiles, write your steps out algebraically on a paper to turn in

SOLVE THE FOLLOWING

x + 4 = -9 -7 + x = 21 x – 2 = -11

y–(- 12.1) = - 2.3 7 + x = 1.9

MULTI-STEP EQUATION - PROCESS

7m – 17 = 60 subtracting 17 +17 +17 add 177m = 77 multiplying by 7 7 7 divide by 7

m = 11 check by substituting solution for variable

7(11) – 17 = 6077 – 17 = 60 60 = 60

Start at last step farthest from variable - Open box before unfold

MULTI-STEP EQUATION - PROCESS

5q - 13 = 37 subtracting 13 +13 +13 add 135q = 50 multiplying by 5 5 5 divide by 5

q = 10 check by substituting solution for variable

5(10) – 13 = 3750 – 13 = 37 37 = 37

Start at last step farthest from variable - Open box before unfold

MULTISTEP EQUATION

Adding 21 Subtract 21

Dividing by 8 Multiply by 8

Check

Start at last step farthest from variable - Open box before unfold

MULTISTEP EQUATION

Subtracting 9 Add 9

Dividing by 12 Multiply by 12

Check

Start at last step farthest from variable - Open box before unfold

MULTI-STEP EQUATIONS

Multiply by 9

Add 15

HOW CAN YOU NEVER MISS A PROBLEM? Check your solution

PRACTICE ASSIGNMENT

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