### Practice C 2-6 - Scarsdale Public Schools

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Name
LESSON
Date
Class
Practice C
2-6 Solving Multiplication Equations
225
1. 24s ! 144
!
2. 5v ! !
15
16
3. 4q ! !2!
4. (32)m ! 45
5. 266 ! 38x
6. (42)n ! 48
7. 213t ! 1,917
8. (15p) • 4 ! 660
9. 3v ! 300
Solve each equation.
10. 65m ! 845
11. 105r ! 840
12. (24)x ! 112
13. (10p) • 21 ! 1,890
14. 42d ! 210
15. 36 ! 3n • 4
16. 57 • (4q) ! 228
17. 137t ! 822
18. (33)w ! 54
19. If xy ! 56, and y " x ! 1, what are
the values for x and y?
Copyright © by Holt, Rinehart and Winston.
20. If x ! 4y, and x # y ! 10, what are
the values for x and y?
57
Holt Middle School Math Course 1
Practice C
2-6 Solving Multiplication Equations
Practice B
2-6 Solving Multiplication Equations
LESSON
LESSON
1. 8s ! 72
s ! 9; 8 • 9 ! 72
v ! 7; 4 • 7 ! 28
3. 27 ! 9q
6. 7n ! 63
x ! 8; 48 ! 6 • 8
n ! 9; 7 • 9 ! 63
7. 10t ! 130
t ! 13; 10 • 13 ! 130
4. (32)m ! 45
16
q ! 2; 4 • 2 ! !2!
m ! 5; 32 • 5 ! 45
2
5. 266 ! 38x
8. 15p ! 450
6. (4 )n ! 48
n ! 3; 42 • 3 ! 48
x ! 7; 266 ! 38 • 7
p ! 30; 15 • 30 ! 450
7. 213t ! 1,917
9. 84 ! 6v
v ! 14; 84 ! 6 • 14
8. (15p) • 4 ! 660
t ! 9; 213 • 9 ! 1,917
p ! 11; (15 • 11) • 4 ! 660
9. 3v ! 300
Solve each equation.
10. 49 ! 7m
11. 20r ! 80
m!7
13. 36 ! 4p
12. 64 ! 8x
v ! 100; 3 • 100 ! 300
r!4
x!8
14. 147 ! 7d
15. 11n ! 110
p!9
d ! 21
Solve each equation.
n ! 10
16. 12q ! 144
17. 25f ! 125
18. 128 ! 16w
q ! 12
f!5
w!8
19. A hot-air balloon flew at 10 miles per
hour. Using the variable h, write and
solve a multiplication equation to find
how many hours the balloon traveled
if it covered a distance of 70 miles.
10. 65m ! 845
m ! 13
r!8
x!7
14. 42d ! 210
p!9
15. 36 ! 3n • 4
d!5
16. 57 • (4q) ! 228
n!3
18. (33)w ! 54
17. 137t ! 822
q!1
t!6
19. If xy ! 56, and y " x ! 1, what are
the values for x and y?
20s ! 300; s ! 15 times faster
12. (24)x ! 112
11. 105r ! 840
13. (10p) • 21 ! 1,890
20. A passenger helicopter can travel
300 miles in the same time it takes
a hot-air balloon to travel 20 miles.
Using the variable s, write and solve
a multiplication equation to find how
many times faster the helicopter can
travel than the hot air balloon.
10h ! 70; h ! 7 hours
w!2
20. If x ! 4y, and x # y ! 10, what are
the values for x and y?
y ! 8 and x ! 7
56
Holt Middle School Math Course 1
57
Copyright © by Holt, Rinehart and Winston.
Reteach
2-6 Solving Multiplication Equations
Holt Middle School Math Course 1
Challenge
2-6 Regulation Sizes
LESSON
LESSON
Write a multiplication equation for the area of each regulation
field or court. Then solve the equations to find the missing
measurements. Remember: Area ! length • width, or A ! l • w.
You can use tiles to help you solve
multiplication equations.
variable
Division undoes multiplication,
so you can use division to solve
multiplication equations.
x ! 8 and y ! 2
1.
2.
l !94 ft
w !?
To solve 3x ! 12, first use
tiles to model the equation.
3x
A !4,700 ft2
12
!
Next, divide each side of the
A !8,250 m2
4,700 ! 94w; w ! 50
8,250 ! 75l; l ! 110
What is the width of a regulation
What is the length of a regulation
soccer field?
50 feet
3.
!
l !90 ft
w !?
Check: 3x ! 12
3 • 4 ! 12
12 ! 12 !
x
110 meters
4.
l !?
w !26 m
The number of tiles in one
group represents the solution.
l !?
w !75 m
Copyright © by Holt, Rinehart and Winston.
4
A !1,586 m2
x!4
Use tiles to solve each equation. Then check each answer.
1. 5x ! 15
x!3
5. 3x ! 18
x!6
9. 4x ! 24
x!6
Copyright © by Holt, Rinehart and Winston.
225
v ! 3; 5 • 3 ! !1!
5
16
3. 4q ! !2!
m ! 5; 12 • 5 ! 60
5. 48 ! 6x
!
2. 5v ! !
15
s ! 6; 24 • 6 ! 144
4. 12m ! 60
q ! 3; 27 ! 9 • 3
225
1. 24s ! 144
2. 4v ! 28
2. 2x ! 6
3. 4x ! 16
x!3
x!4
6. 6x ! 12
7. 7x ! 21
x!2
11. 8x ! 16
x!3
Copyright © by Holt, Rinehart and Winston.
x!1
1,586 ! 26l; l ! 61
8,100 ! 90w; w ! 90
What is the length of a regulation ice
hockey rink?
What is the width of a regulation
baseball diamond?
61 meters
90 feet
12. 5x ! 25
x!2
58
x!3
8. 9x ! 9
x!3
10. 3x ! 9
A !8,100 ft2
4. 8x ! 24
x!5
Holt Middle School Math Course 1
Copyright © by Holt, Rinehart and Winston.