MSM07G7_RESBK_Ch12_003_010.pe
1/29/06
8:44 PM
Page 4
Name
LESSON
Date
Class
Practice B
12-1 Solving Two-Step Equations
Solve. Check each answer.
1. 7x 8 36
x4
4. 6a 4 2
2. 3y 7 2
3. 4a 13 19
3
a8
5. 5k 2 6
a 3
1
k 5
v
7. 4 3 5
u
8. 5 3 1
6. 9m 14 8
4
2
m 3
Solve.
v 32
f
10. 7 2 1
f 12
d
13. 8 5 2
d 50
z
9. 6 9 9
u 10
w
z 27
11. 9 4 5
e
12. 7 3 5
w 56
e 14
u
14. 5 3 6
f
58
15. 3
u 15
f 9
16. Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
$25 per month
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
4
Holt Mathematics
Practice B
LESSON
12-1 Solving Two-Step Equations
Practice A
LESSON
12-1 Solving Two-Step Equations
Solve. Check each answer.
Solve each equation. Cross out each number in the box that
matches a solution.
6
8
4
6
18
1. 5x 8 23
3
2
4
8
2. 2p 4 2
3
1. 7x 8 36
2. 3y 7 2
18
x4
3. 6a 11 13
y 3
4. 6a 4 2
x3
4. 4n 12 4
p 3
a4
a8
5. 5k 2 6
a 3
1
k 5
v
7. 4 3 5
u
8. 5 3 1
k
6. 6 8 5
5. 9g 2 20
3. 4a 13 19
6. 9m 14 8
4
2
m 3
Solve.
n 4
s
7. 3 4 2
g2
c
8. 2 5 1
a
9. 9 6 8
v 32
u 10
f
c 8
v9
f 12
d
12. 4 9 3
11. 8 5x 2
x 2
d 24
f 9
u 15
16. Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
3
Holt Mathematics
4
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Reteach
LESSON
12-1 Solving Two-Step Equations
Practice C
LESSON
12-1 Solving Two-Step Equations
Solve. Check each answer.
4. 5m 6 84
f
58
15. 3
$25 per month
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
2
3
e 14
u
14. 5 3 6
d 50
3 hours
h w 56
d
13. 8 5 2
13. An electrician charges $50 to come to your house. He also charges $25 for each
hour he spends at your house. The electrician charges you a total of $125. How
many hours did he spend at your house?
1. 15h 4 6
e
12. 7 3 5
11. 9 4 5
a 6
Solve. Check each answer.
10. 3v 12 15
z 27
w
10. 7 2 1
s 18
z
9. 6 9 9
k 18
2. 25k 12 13
You can solve two-step equations by undoing one operation at
a time. First undo any addition or subtraction, then undo
any multiplication or division.
3. 8m 14 7
Complete the steps to solve each equation.
7
8
m k 1
5. 3f 8 28
7x 3 31
1.
6. 5z 6 20
7x 3 3
3
31 3
Subtract
from both sides to undo addition.
7x 28
7x
28
7
7
1
2
3
Z 55
f 6 m 18
Divide both sides by
7
to undo multiplication.
x4
Check
Solve.
d
9 5
7. 1
4
8. a 20 18
35
3
3
9. 4 9p 5
7x 3 31
7(
d 196
2
d
2
10. 23 6 3
d 20
3
p 20
a 70
f
1
1
11. 8 4
2
n
2.
4
for x.
3 31
n
8 4
6
n
8 8 4 6
n
4 is a solution.
3.
8
n
12
6
n
6 • 12
6
• 6
v 20
8a 5 11
5
8a 5 11 8a 16
8a
16
8
8
72
a
w
9 2 12
4.
5
9
9
w
2 12 w
2
w
• 2
2
3
w
6
2
2
9
• 3
14. 4w 9 5
7 more than one half a number
4 times a number, minus 9,
equals 10; n 6
equals 5; w 1
Solve.
5. 4n 11 27
15. A taxi charges $1.50 plus a fee of $0.60 for each mile traveled. If a ride costs
$5.40, how many miles was the ride?
n4
1
62 miles
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Substitute
?
?
31 31 Translate each equation into words, and then solve the equation.
13. 7 2 10
?
)3
31
28
2
v
6 12. 3
-3
f6
4
5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
60
z
6. 7 6 3
z 63
6
7. 3 2k 7
k5
Holt Mathematics
Holt Mathematics