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Distributive & Associative Properties
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Challenging Story Problems
100

Solve for n: 9 x 8 = n

n = 72

100

5 ice blocks were stacked on top of each other. Each weighed 8 pounds. How much did they weigh altogether?

5 x 8 = 40 pounds
100

True or false: 

9 x 7 = (10 x 7) - (1 x 7)

9 x 7 = (10 x 7) - (1 x 7)

9 x 7 = 70 - 7 

9 x 7 = 63

True

100

Four friends each purchase a pizza for $9. How much did the friends spend on pizza, altogether?

4 x $9 = $36

100

Tristyn and 2 friends stopped at a gas station and split the cost of gas. If the gas cost $18, how much did each one pay?

$18 ÷ 3 = $6

200

Solve for n: 42 ÷ 7 = n

n = 6

200

Andrew made 3 piles of snowballs. Each pile contained 6 snowballs. How many snowballs did Andrew make?

3 x 6 = 18 snowballs

200

True or false:

(5 x 9) = (2 x 4) + (3 x 5)

False

5 x 9 does not equal 8 + 15

45 does not equal 23

200

Brayden swam laps for 45 minutes. Then he ran 8 miles. It takes him 9 minutes to run each mile. How long did Brayden exercise?

45 + (9 x 8) = m

45 + 72 = m

117 = m

300

Solve for n: 48 ÷ n = 8

n = 6

300

Ten friends each walked 9 yards to the top of a small hill. How far did they walk altogether? 

10 x 9 = 90 yards

300

True or false:

16 ÷ 2 = (8 ÷ 2) x (8 ÷ 2)


False

16 ÷ 2 = (8 ÷ 2) PLUS (8 ÷ 2)


300

Vivian charges $30 for mowing a lawn. If she mowed 7 lawns, how much money does she make?

7 x $30 = $210

300

Bennie weighs 4 pens & a ruler. The total weight is 55 grams. The ruler weighs 19 grams.  How much does each pen weigh?




(4 x p) + 19 = 55

55 - 19 = 4 x p

36 = 4 x p

p = 9 grams

400

Solve for p: p ÷ 9 = 5

p = 45

400

Yunting used 8 items to build a fort. His 2 friends each used 4 items on their forts. How many items did they use altogether?

8 + (2 x 4) = i

8 + 8 = i

16 = i

400

90 ÷ 5 = (45 ÷ 5) + __________

(45 ÷ 5)

400

Autumn and 3 friends ordered lunch. If they each paid $8, how much did lunch cost?

4 x $8 = $36

400

Teddy has 123 stickers. He loses 51. He then puts 8 stickers on each page of his book. How many pages does he fill?

(123 - 51) ÷ 8 = p

72 ÷ 8 = p

9 = p

500

Solve for m: m = (5 x 2) + (9 x 2) 

m = 28

500

A $9 hat is on sale for $3. A $15 sled is on sale for $5. A $21 coat is on sale for $7. How much would a $24 toy cost?

$24 ÷ 3 = $8

500

Use the distributive property to solve 

15 x 6


Many possible correct answers!


*Must get a thumbs up from Miss Shapiro for points*


500

Seven friends order cookies. Each person will get 2 cookies. A box has 6 cookies. How many boxes do they need?





(7 x 2) ÷ 6 = b

14 ÷ 6 = b

b = 2 with 2 left over

They need 3 boxes.

500

Deena has 6 boxes of pens with 7 pens in each box. She lost some and has 30 pens leftover. How many pens did she lose?

(6 x 7) - p = 30

42 - p = 30

p = 12

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