Lesson 3.3, For use with pages 127-133

Solve the equation.

1. 9y = 27 2. v – 16 = 7

Lesson 3.3, For use with pages 127-133

Solve the equation.

1. 9y = 27

ANSWER 3

2. v – 16 = 7

ANSWER 23

Day Two Section 3.2 2-step equationsDay Two Section 3.2 2-step equations

Focus remains on the process ( the steps)Focus remains on the process ( the steps)

““Undo” StepsUndo” Steps1) Simplify both sides1) Simplify both sides ( may include the ( may include the distributive propertydistributive property, ,

combining like terms,combining like terms,

change change subtraction to “add the oppositesubtraction to “add the opposite))

2) Addition/Subtraction transformations2) Addition/Subtraction transformations

3) Simplify3) Simplify

4) Multiplication/Division transformations4) Multiplication/Division transformations

5) Simplify5) Simplify

What are What are equations equivalentequations equivalent??Are these two Are these two equations equivalentequations equivalent??

2x + 4 = 202x + 4 = 20

x + 2 = 10x + 2 = 10

Name another equivalent equation.Name another equivalent equation.

Learn to solve linear equations Learn to solve linear equations using two or more transformationsusing two or more transformations7 21

3

x− = −

7 213

x+ = −−

7 7 21 73

x+ + − = − + −−

283

x = −−

3 28 33

x− = − −−g g

84x =

Add the opposite.

Addition transformation.

Division transformation.

7 53

c − = Learn to solve linear equations Learn to solve linear equations using two or more transformationsusing two or more transformations

7 53

c + − =

7 7 5 73

c + − + = +

123

c =

3 12 33

c =g g

36c =

Add the opposite.

Addition transformation.

Division transformation.

Kim has a job where she makes $8 per hour Kim has a job where she makes $8 per hour plus tips. Yesterday, Kim made $53, $13 of plus tips. Yesterday, Kim made $53, $13 of which was from tips. How many hours did she which was from tips. How many hours did she work?work?

Identify variable x = ______ Identify variable x = ______ (what are you looking for)(what are you looking for)

Write an equationWrite an equation

SolveSolve

hours

8x + 13 = 53

8x + 13 + -13 = 53+ -13

8x = 40

8 8

x = 5 hours

A bank charges $5.00 per month plus $0.30 A bank charges $5.00 per month plus $0.30 per check for a standard checking account. per check for a standard checking account. Find the number of checks Sally wrote if she Find the number of checks Sally wrote if she paid $8.30 in fees last month.paid $8.30 in fees last month.

Identify variable x = ______ Identify variable x = ______ (what are you looking for)(what are you looking for)

Write an equationWrite an equation

SolveSolve

checks

.3x + 5 = 8.30

.3x + 5 + -5 = 8.30 + -5

.3x = 3.3

.3 .3

x = 11 checks

A fitness center offers yoga classes for $10 per class A fitness center offers yoga classes for $10 per class and sells yoga mats for $19.95. A person paid a total and sells yoga mats for $19.95. A person paid a total $139.95 to the fitness center for classes and a mat. $139.95 to the fitness center for classes and a mat. Find the number of classes the person took.Find the number of classes the person took.

Identify variable x = ______ Identify variable x = ______ (what are you looking for)(what are you looking for)

Write an equationWrite an equation

SolveSolve

classes

10x + 19.95 = 139.95

10x + 19.95 + -19.95= 139.95 + -19.95

10x = 120

10 10

x = 12 classes

Assignment: page 131 #7-15, 38-40Assignment: page 131 #7-15, 38-40(ONLY 10 and 40 will have decimals in their answers)(ONLY 10 and 40 will have decimals in their answers)

Problems 7-15 are 3 points eachProblems 7-15 are 3 points each

2 points for showing transformations2 points for showing transformations

1 point for the solution1 point for the solution

Word problems are 3 points eachWord problems are 3 points each

1- identify the variable1- identify the variable

2- formula2- formula

3- solve3- solve