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Thursday, September 30
Today’s Agenda
1. Fill in planner
1. Practice 2-2
Bell Work
(Solve each equation)
2n 3n  n
2. Bell Work
3. Collect test corrections and
grade Practice 2-1
9( w  5)  9w  45
4. Solving Two Step Equations
(Notes)
3( x  4)  3x  12
5. Group Activity
6. Independent Work
 4  3b  2  5b  8b  2
Objective
 SWBAT use the distributive property to solve multi step
equations using addition, subtraction, multiplication,
and division.
Solving Multi Step Equations
If there are like terms on one side of an equation, use the
____ _______ property to combine them.
distributive
If there are grouping symbols in the equation, use the
_______________
property to eliminate them.
distributive
Steps for Solving a Multi-Step
Equation
1. Clear the equation of fractions and decimals
2. Use the Distributive Property to remove parenthesis
on both sides
3. Combine like terms on both sides
4. Undo addition or subtraction
5. Undo multiplication or division
Example 1
2c  c 12  78
(2  1)c  12  78
3c  12  78
 12  12
3c  66
3
3
c  22
Check Your Solution
Example 1
c  22 2c  c 12  78
2  22  22  12  78
44  22  12  78
66 12  78
78  78
Example 2
 2(b  4)  12
 2b  8  12
8 8
 2b  4
2 2
b  2
Solving a Multi-Step Equation
with Fractions

Two methods
1. Rewrite the equation with fraction coefficients.
2x x
 7
3 2
2
1
x x 7
3
2
2. Multiply to “clear” the fractions
4y y
  2  38
5 4
4y y
20(   2)  38  20
5 4
4  4 y  5 y  40  760
4
3
x x 7
6
6
7
x7
6
6 7
6
 x  7
7 6
7
x6
16 y  5 y  40  760
21 y  40  760
 40
 40
21y  720
21
21
y  34.29
Solving an Equation with
Decimals

You can clear an equation of decimals by multiplying by a power of
10.
0.5a  8.75  13.25
100(0.5a  8.75)  100(13.25)
50a  875  1325
 875
 875
50a  450
50
50
a 9
Example 3
 2(b  4)  12
 2b  8  12
8 8
 2b  4
2 2
b  2
Objective
 SWBAT use the distributive property to solve multi step
equations using addition, subtraction, multiplication,
and division.
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