3.3 two step equations 2
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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
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