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