Download Multiplication Equations

e x p l o r at i o n
Georgia Performance
Standards
2G
Multiplication Equations M6A3
Bill bought 7 tickets to a basketball game for $21. How much did
each ticket cost?
t
t
t
t
t
t
t
$21
7 t 21
7 3 21
t3
Each ticket cost $3.
Find the value of n in each equation.
1. 4 n 36
n __________
2. 100 n 500
n __________
3. 50 5 n
n __________
4. 24 n 48
n __________
5. 10 n 240
n __________
Think and Discuss
6. Discuss your strategies for solving the equations.
7. Explain how you can find the solution to 4 n 200.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
35
Holt Mathematics
Name
Date
LAB
Hands-On Lab
2G
Solving Multiplication Equations
Class
You can use algebra tiles to help you solve equations.
KEY
1
x
Activity
To solve the equation 3x 6, you need one x by itself on one side
of the equal sign. Show this with algebra tiles. Divide each side into
equal parts.
3x
6
x
=
2
Divide each side into 3 equal parts.
1. Draw the tiles to solve 2x 8.
2x
8
x
=
Divide each side into 2 equal parts.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
36
Holt Mathematics
Name
Date
Class
Hands-On Lab
LAB
2G
Solving Multiplication Equations, continued
Think and Discuss
1. When you put tiles into equal groups, what operation are you
representing?
2. Give an example of an equation that would require you to divide
the tiles into five equal groups to solve.
3. How many x blocks and how many unit blocks do you need to
represent and solve your equation in Exercise 2?
Try This
Draw algebra tiles to model each equation. Then solve the equation.
1. 2x 10
2. 3x 12
x
x
4. 4x 8
x
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
3. 4x 4
x
5. 3x 9
6. 2x 8
x
x
37
Holt Mathematics
Name
Date
LESSON
Review for Mastery
2G
Multiplication Equations
Class
You can use tiles to help you solve
multiplication equations.
variable
Division undoes multiplication,
so you can use division to solve
multiplication equations.
add 1
To solve 3x 12, first use
tiles to model the equation.
3x
12
Next, divide each side of the
equal sign into 3 equal groups
The number of tiles in one
group represents the solution.
Check: 3x 12
3 • 4 ⱨ 12
12 ⱨ 12 ⻬
x
4
x4
Use tiles to solve each equation. Then check each answer.
1. 5x 15
2. 2x 6
3. 4x 16
4. 8x 24
5. 3x 18
6. 6x 12
7. 7x 21
8. 9x 9
11. 8x 16
12. 5x 25
9. 4x 24
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
10. 3x 9
38
Holt Mathematics
Name
LESSON
2G
Date
Class
Homework and Practice
Solving Multiplication Equations
Solve each equation. Check your answers.
1. 7w 42
2. 4h 36
3. 40 8f
4. 11q 88
5. 35 5d
6. 9p 54
7. 12x 72
8. 13r 143
9. 51 3m
Solve each equation.
10. 24 6q
11. 15v 75
12. 100 2s
13. 48 16a
14. 200 20z
15. 18t 108
16. 30c 90
17. 24g 168
18. 126 14k
19. A hot air balloon flew at 8 miles per
hour. Write and solve a multiplication
equation to find out how many hours
the balloon traveled if it covered a
distance of 72 miles.
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
20. Trevor makes $11 an hour. His last
paycheck was for $385. Write and
solve a multiplication equation to find
out how many hours he worked.
39
Holt Mathematics