MSM07G8_RESBK_Ch11_020-028.pe
2/14/06
12:26 PM
Page 21
Name
Date
Class
Practice B
LESSON
11-3 Solving Equations with Variables on Both Sides
Solve.
1. 7x 11 19 3x
x 2
4. 19c 31 26c 74
c 15
7. 10a 37 6a 51
a 22
10. 15y 14 2(5y 6)
y 0.4
13. 4(3d 2) 8d 5
3
d 4
6t
3. 4t 14 5 7
2. 11a 9 4a 30
a3
t 2.5
y
3y
5. 8 9 13 8
3k
12k
8
6. 5 44 25
a7
k 300
8. 5w 9.9 4.8 8w
9. 15 x 2(x 3)
w 1.7
w
3w
11. 14 8 4 21
x3
1
12. 2(6x 4) 4x 9
w 40
y
y
14. 3 11 2 3
x7
2x 9
15. 3 8 3x
a7
x3
16. Forty-eight decreased by a number is the same as
the difference of four times the number and seven.
Find the number.
11
17. The square and the equilateral
triangle at the right have the same
perimeter. Find the length of the
sides of the triangle.
3x
12 units
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
x5
21
Holt Mathematics
MSM07G8_RESBK_Ch11_055-067.pe
2/14/06
1:11 PM
Page 59
Practice A
LESSON
11-3 Solving Equations with Variables on Both Sides
Puzzles, Twisters & Teasers
LESSON
11-2 Don’t Miss the Boat!
Tell which term you would add or subtract on both sides side of the equation so
that the variable is only on one side.
Decide whether or not the given solution to each equation is
correct. Circle the letter above your answer. Then unscramble
the letters to solve the riddle.
1. 2x 4 5x 8 24
x4
A
correct
Q
incorrect
5n
1
3
2. 6 4 8
P
correct
n7
3y
5
1
3. 7 7 7
M
correct
y 2
2
5
x
4. 2 3 6
Y
correct
x3
5. 5y 2 8y 31
y 20
D
incorrect
p4
b
3b
5
7. 6 8 12
b9
Z
correct
4. 6x 2 1 x
Add y to both sides.
Add x to both sides.
Solve.
5. 3a 10 4 a
6. 5y 4 4y 5
7. b 3 2b 7
a5
B
correct
L
incorrect
h
h
1
9. 6 8 16
W
correct
a7
h2
y1
8. 2x 1 x 3
b 10
9. 2w 3 4w 5
10. 6n 4 n 11
Y
incorrect
b
2
10. b 5 10 45
R
incorrect
Subtract 3y from both sides.
3. 10 y 2y 3
L
incorrect
8. 2a 7 3a 32
I
incorrect
Subtract 2x from both sides.
X
incorrect
T
correct
J
incorrect
2. 3y 1 4y 6
1. 7x 1 2x 5
2p
p
1
7
6. 3 4 6 2
A
correct
b 12
R
correct
x 2
B
incorrect
w4
19m
3
m
11. 5 5 1.4 5
t
n 3
t
12. 11 2 3 14
13. 29r 4 28 13r
t 30
r 1.5
Who’s the head of the seagull navy?
A
D
M
I
R
A
L
B
Y
R
19
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
m 0.5
D
Holt Mathematics
14. The difference of four times a number and five is the same
as three more than twice a number. Find the number.
4
15. Fifteen more than twice the hours Carla worked last week
is the same as three times the hours she worked this week
decreased by 15. She worked the same number of hours
each week. How many hours did she work each week?
30 hours
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Practice B
LESSON
11-3 Solving Equations with Variables on Both Sides
20
Holt Mathematics
Practice C
LESSON
11-3 Solving Equations with Variables on Both Sides
Solve.
Solve.
1. 7x 11 19 3x
x 2
4. 19c 31 26c 74
c 15
7. 10a 37 6a 51
6t
3. 4t 14 5 7
2. 11a 9 4a 30
a3
1. 9x 22 23 4x
x9
t 2.5
3y
y
5. 8 9 13 8
y 88
n 63
8. 5w 9.9 4.8 8w
x 1
9. 15 x 2(x 3)
w
a 22
y 0.4
13. 4(3d 2) 8d 5
3
d 4
w 1.7
w
3w
11. 14 8 4 21
x3
w 40
y
y
14. 3 11 2 3
2x 9
x 15
x7
k 10.2
r
r
9. 5 26 2 29
8. 7d 13 35 4d
r 10
2m
m
11. 5 17 2 7
12. 5(5a 3) 14a 29
m 240
1
13. 3 10 5x
2x 9
15. 3 8 3x
a 4
3n 7
5 0.25n
15. 2
14. 5m 6 2.5m 42
m 14.4
n 1.2
16. The sum of five and eight times a number is the same
as fifty plus one-half the number. Find the number.
6
y 84
x3
16. Forty-eight decreased by a number is the same as
the difference of four times the number and seven.
Find the number.
17. Jack and Jessica earned the same amount last week.
They both work for the same hourly rate. Jack worked
eighteen hours and had $42 deducted from his pay.
Jessica worked fifteen hours and had $18 deducted
from her pay. What was each person’s salary last week
after deductions?
11
17. The square and the equilateral
triangle at the right have the same
perimeter. Find the length of the
sides of the triangle.
$102
3x
12 units
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
w 60
1
12. 2(6x 4) 4x 9
6. 8(k 6) 3(k 33)
d2
w
10. 4 5 3 10
10. 15y 14 2(5y 6)
x 20
x4
x6
5. 5 7
x 29
2x 1
7. 3 4x 3
k 300
3. 5x 36 24 2x
y 9
7n
5n
4. 9 62 9 48
3k
12k
8
6. 5 44 25
2y
2. 3 9 2y 3
x5
21
Copyright © by Holt, Rinehart and Winston.
Holt Mathematics
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
59
22
Holt Mathematics
Holt Mathematics