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2-7 Multiplication Equations
Warm Up
Problem of the Day
Lesson Presentation
Lesson Quizzes
2-7 Multiplication Equations
Warm Up
Divide.
72
1. 12
3. 60
6
6
13
2. 65
5
10
4. 40 4
10
5. 130 26
5
6. 91 13
7
2-7 Multiplication Equations
Problem of the Day
Katie’s little brother is building a tower with
blocks. He adds 6 blocks and then removes
4 blocks. If he adds 8 more blocks, the
tower will have twice as many blocks as
when he started. How many blocks did he
start with?
10 blocks
2-7 Multiplication Equations
Learn to solve whole-number multiplication
equations.
2-7 Multiplication Equations
Multiplication and division are inverse operations.
To solve an equation that contains multiplication,
use division to “undo” the multiplication.
4m = 32
4m = 32
4
4
m=8
Caution !
4m means “4  m.”
2-7 Multiplication Equations
Additional Example 1A: Solving Multiplication
Equations
Solve the equation. Check your answer.
5p = 75
p is multiplied by 5.
5p = 75
5
5
Divide both sides by 5 to undo
the multiplication.
p = 15
Check 5p = 75
?
5(15)= 75
?
75 = 75 
Substitute 15 for p in the equation.
15 is the solution.
2-7 Multiplication Equations
Additional Example 1B: Solving Multiplication
Equations
Solve the equation. Check your answer.
16 =
16 =
8
2=
8r
8r
8
r
r is multiplied by 8.
Divide both sides by 8 to undo
the multiplication.
Check 16 = 8r
?
16 = 8(2)
?
16 = 16 
Substitute 2 for r in the equation.
2 is the solution.
2-7 Multiplication Equations
Check It Out: Example 1A
Solve the equation. Check your answer.
8a = 72
a is multiplied by 8.
8a = 72
8
8
a=9
Divide both sides by 8 to undo
the multiplication.
Check 8a = 72
?
8(9)= 72
?
72 = 72 
Substitute 9 for a in the equation.
9 is the solution.
2-7 Multiplication Equations
Check It Out: Example 1B
Solve the equation. Check your answer.
w is multiplied by 3.
18 = 3w
18 = 3w
3
3
6=w
Divide both sides by 3 to undo
the multiplication.
Check 18 = 3w
?
18 = 3(6)
?
18 = 18 
Substitute 6 for w in the equation.
6 is the solution.
2-7 Multiplication Equations
Additional Example 2: Problem Solving Application
The area of a rectangle is 56 square
inches. Its length is 8 inches. What
is its width?
2-7 Multiplication Equations
Additional Example 2 Continued
1
Understand the Problem
The answer will be the width of the rectangle
in inches.
List the important information:
• The area of the rectangle is 56 square inches.
• The length of the rectangle is 8 inches.
Draw a diagram to represent this information.
56
8
w
2-7 Multiplication Equations
Additional Example 2 Continued
2
Make a Plan
You can write and solve an equation using
the formula for area. To find the area of a
rectangle, multiply its length by its width.
A = lw
56 = 8w
w
l
2-7 Multiplication Equations
Additional Example 2 Continued
3
Solve
56 = 8w
56 = 8w
8
8
7=w
w is multiplied by 8.
Divide both sides by 8 to undo
the multiplication.
So the width of the rectangle is 7 inches.
2-7 Multiplication Equations
Additional Example 2 Continued
4
Look Back
Arrange 56 identical
squares in a rectangle.
The length is 8, so line up
the squares in rows of 8.
You can make 7 rows of 8,
so the width of the
rectangle is 7.
2-7 Multiplication Equations
Check It Out: Example 2
The area of a rectangle is 48 square
inches. Its width is 8 inches. What is
its length?
2-7 Multiplication Equations
Check It Out: Example 2
1
Understand the Problem
The answer will be the length of the rectangle
in inches.
List the important information:
• The area of the rectangle is 48 square inches.
• The width of the rectangle is 8 inches.
Draw a diagram to represent this information.
48
l
8
2-7 Multiplication Equations
Check It Out: Example 2 Continued
2
Make a Plan
You can write and solve an equation using the
formula for area. To find the area of a
rectangle, multiply its length by its width.
A = lw
48 = l8
w
l
2-7 Multiplication Equations
Check It Out: Example 2 Continued
3
Solve
48 = 8l
48 = 8l
8
8
6=l
l is multiplied by 8.
Divide both sides by 8 to undo
the multiplication.
So the length of the rectangle is 6 inches.
2-7 Multiplication Equations
Check It Out: Example 2 Continued
4
Look Back
Arrange 48 identical
squares in a rectangle.
The width is 8, so line up
the squares in columns of
8. You can make 6
columns of 8, so the
length of the rectangle is
6.
2-7 Multiplication Equations
Lesson Quizzes
Standard Lesson Quiz
Lesson Quiz for Student Response Systems
2-7 Multiplication Equations
Lesson Quiz
Solve each equation.
1. 10y = 300
y = 30
2. 2y = 82
y = 41
3. 63 = 9y
y=7
4. 78 = 13x
x=6
5. The area of a board game is 468 square inches.
Its width is 18 inches. What is the length?
26 inches
2-7 Multiplication Equations
Lesson Quiz for Student Response Systems
1. Solve the equation 2x = 88.
A. x = 90
B. x = 86
C. x = 48
D. x = 44
2-7 Multiplication Equations
Lesson Quiz for Student Response Systems
2. Solve the equation 3y = 75.
A. y = 25
B. y = 35
C. y = 75
D. y = 78
2-7 Multiplication Equations
Lesson Quiz for Student Response Systems
3. Solve the equation 72 = 8x.
A. x = 80
B. x = 64
C. x = 9
D. x = 8
2-7 Multiplication Equations
Lesson Quiz for Student Response Systems
4. Solve the equation 91 = 7y.
A. y = 13
B. y = 17
C. y = 73
D. y = 84
2-7 Multiplication Equations
Lesson Quiz for Student Response Systems
5. The area of Carl’s rectangular flower
garden is 192 square feet. Its length is
16 feet. What is the width?
A. 8 feet
B. 12 feet
C. 14 feet
D. 16 feet