Word Problems
Relating Division to Multiplication
Distributive Property
Associative Property
Commutative Property
200

Mrs. Newman wants 6 pizzas. Each pizza costs $8. How much does she spend on the pizzas? Use a variable to represent the unknown.

6 x 8 = p

p = $48

200

p divided by 3 = 5 

Write the multiplication sentence that would help you solve this problem.

What is 5 x 3 = p

200

What is the product on each side of the equation 7×(2+1)=(7×2)+(7×1)

21

200

Use parenthesis to make this equation true: 

24 = 32 – 14 + 6

24 = (32 - 14) + 6

200

Write 2 multiplication facts that match the array.

o o o o o o o

o o o o o o o

o o o o o o o

o o o o o o o

7 x 4 = 28

4 x 7 = 28


400

Mrs. Tanger has a total of 63 apples and 7 bags. She put the same amount of apples in each bag. How many apples are in each bag? Use a variable to represent the unknown.

63 = 7 x a

a = 9

400

What is the multiplication equation that will help you solve:

n divided by 2 = 10

What is 2 x 10 = n

400

Rewrite this expression using the distributive property:

5×(3+1)

What is (5 x 3) + (5 x 1)

400

Use parenthesis to make the equations true:

2 + 8 × 7 = 70

2 + 8 × 7 = 58

(2 + 8) x 7 = 70

2 + (8 x 7) = 58

400

Write 2 multiplication facts to match the array.

X X X X X X X X

X X X X X X X X

X X X X X X X X

X X X X X X X X

X X X X X X X X 

8 x 5 = 40

5 x 8 = 40

600

Mrs. E has 9 sheets of stickers with 8 stickers on each sheet. After giving some away, she has 14 stickers left. How many stickers did she give away?  

9 x 8 = 72

72 - 14 = 58

She gave away 58 stickers.

600

Joe has a total of 16 cars in 2 rows. How many cars are in each row?

Write a multiplication and division equation you can use to solve this problem and then solve.

16 / 2 = 8

2 x 8 = 16

600

Rewrite this expression using the distributive property. 4 x (3 + 2)

What is (4 x 3) + (4 x 2)

600

3 × 30 = 3 × 3 × 10 

= 3 × 3 × 10 

= ______ × 10 

= _____

3 x 30 = 3 x 3 x 10

= (3 x 3) x 10

= 9 x 10

= 90

600

Write 2 multiplication facts to match the array

*  *  *  *  *  *  *

*  *  *  *  *  *  *

*  *  *  *  *  *  *

*  *  *  *  *  *  *

4 x 7 = 28

7 x 4 = 28

800

Erica buys some packs of rubber bracelets. There are 8 bracelets in each pack. How many packs of rubber bracelets does she buy if she has a total of 56 bracelets? Draw a tape diagram, and label the total number of packages as p. Write an equation, and solve for p.

p x 8 = 56

p = 7

800

Chloe has a bookshelf with 4 shelves. There are 8 books on each shelf. 

Create a multiplication and division equation to represent this problem and solve. Draw a tape diagram to go with the problem.

6 x 4 =24 or 4 x 6 =24 

24 / 4 =6  or 24 / 6 = 4

800

Using what you know about the distributive property to rewrite this expression in a different way. 

(2 x 1) + (2 x 5)

What is 2 x (1 + 5)

800

4 × 20 = 4 × 2 × 10 

 = 4 × 2 × 10 

= ______ × 10 

= ______

4 x 20 = 4 x 2 x 10

 = (4 x 2) x 10

 = 8 x 10

 = 80

800

Write 2 multiplication facts to match the array

^ ^ ^ ^ ^

^ ^ ^ ^ ^

^ ^ ^ ^ ^

^ ^ ^ ^ ^

^ ^ ^ ^ ^

^ ^ ^ ^ ^

5 x 6 = 30

6 x 5 = 30

1000

On Saturday, Warren swims laps in the pool for 45 minutes. On Sunday, he runs 8 miles. It takes him 9 minutes to run each mile. How long does Warren spend exercising over the weekend? Draw a tape diagram to solve.

9 x 8 = 72

72 + 45 = 117

117 minutes

1000

4 x n = 36

Write the division sentence you can use to solve this problem and then solve.

36 / 4 = n

n = 9

1000

Complete the number sentence. 

5 x (6 + 4) = ( ? x ? ) + (? x ?)

What is (5 x 6) + (5 x 4)

1000

Mark solves 24 ÷ 6 + 2. He says it equals 6. Iris says it equals 3. Show how the position of parentheses in the equation can make both answers true.

24 / (6+2) = 3

(24 / 6) + 2 = 6

1000

Karen says, “If I know 3 × 8 = 24, then I know the answer to 8 × 3.” Explain why this is true.

The equations have the same answer no matter what order the numbers are in.