Download Equations with More Than One Operation

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Name
Reteaching
Equations with More Than
One Operation
15-1
• First undo addition or subtraction.
• Then undo multiplication or division.
Solve 5x ! 10 " 95.
Step 1: Undo subtraction. Add 10 to both sides.
Step 2: Undo
Step 3:
multiplication. Divide both sides by 5.
Check by substitution.
Solve 10 " _n5 # 6
Step 1: Undo addition. Subtract 6 from both sides.
Step 2:
Undo division. Multiply both sides by 5.
Step 3:
Check by substitution.
5x ! 10 " 95
5x ! 10 # 10 = 95 # 10
5x " 105
5x " ___
105
__
5
5
x " 21
5x ! 10 " 95
5(21) ! 10 " 95
105 ! 10 " 95
95 " 95 ✔
10 " _n5 # 6
10 ! 6 " _n5 # 6 ! 6
4 " _n5
5$n
4 $ 5 " ____
5
20 " n
10 " _n5 # 6
20 # 6
10 " __
5
10 " 4 # 6
10 " 10 ✔
Solve each equation and check your solution.
1. 8b # 16 " 64
2. 2y ! 4 " 24
q
3. __
# 5 " 10
10
m # 2 " 17
4. __
3
p
5. __4 # 13 " 21
6. 5b ! 8 " 17
7. _3a ! 17 " 14
8. 3d # 17 " 24.5
9. Number Sense Would you expect the solution of 4x # 12 " 36 to be
greater than or less than 36? Explain.
26
Topic 15
© Pearson Education, Inc. 6
Reteaching 15-1
Some equations require more than one operation to solve. When you solve
an equation with more than one step, undo the operations in this order:
Name
Reteaching
15-1
Equations with More Than
One Operation
• First undo addition or subtraction.
• Then undo multiplication or division.
Solve 5x ! 10 " 95.
Step 1: Undo subtraction. Add 10 to both sides.
Step 2: Undo
Step 3:
multiplication. Divide both sides by 5.
Check by substitution.
Solve 10 " _n5 # 6
Step 1: Undo addition. Subtract 6 from both sides.
Step 2:
Undo division. Multiply both sides by 5.
Step 3:
Check by substitution.
5x ! 10 " 95
5x ! 10 # 10 = 95 # 10
5x " 105
5x " ___
105
__
5
5
x " 21
5x ! 10 " 95
5(21) ! 10 " 95
105 ! 10 " 95
95 " 95 ✔
10 " _n5 # 6
10 ! 6 " _n5 # 6 ! 6
4 " _n5
5$n
4 $ 5 " ____
5
20 " n
10 " _n5 # 6
20 # 6
10 " __
5
10 " 4 # 6
10 " 10 ✔
Solve each equation and check your solution.
1. 8b # 16 " 64
q
3. __
# 5 " 10
10
p
5. __4 # 13 " 21
7. _3a ! 17 " 14
b!6
q ! 50
p ! 32
a ! 93
2. 2y ! 4 " 24
m # 2 " 17
4. __
3
6. 5b ! 8 " 17
8. 3d # 17 " 24.5
y ! 14
m ! 45
b!5
d ! 2.5
9. Number Sense Would you expect the solution of 4x # 12 " 36 to be
greater than or less than 36? Explain.
26
Less than 36, because you will subtract 12
from 36 and then divide the difference by 4.
Topic 15
© Pearson Education, Inc. 6
Reteaching 15-1
Some equations require more than one operation to solve. When you solve
an equation with more than one step, undo the operations in this order:
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