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Equivalent Equations
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100

True or False

30 x 9 = 9 x (3 + 10)

False

30 x 9 = 9 x (3 + 10)

270 = 9x13

270 = 117

100

See question #1

5 x 30 = 150 (area)


100

Michelle saved 4 times as much money as her brother, Sam. He saved $40. How much money did Michelle save? 

4 x 40 = 160

100

12 x 16 = 

192

100

Pablo says there are 3 tens in 230. Hunter says there are 23 tens in 230. Their teacher says they are both right. How can that be? Explain.

There is a 3 in the 10 place value, there is also a total of 23 tens in the whole number.
200

True or False

16 x 18 = (16 x 10) + (16 x 8)

True

16 x 18 = (16 x 10) + (16 x 8)

200

See question # 2 

4 x 50 = 200 (missing factor/dimension)


200

Kendra earns money washing windows. She makes 25 cents for each window she washes. If she washes 9 windows, how much money does she make?

25 x 9 = 

20 x 9 = 180

5 x 9 = 45

180 + 45 = 225

200

100 x ____ = 400

4

200

See question #4

Fill in the blanks in the ratio table. 

8  __  32  __  __  80  __

1  2   __   5    9  __   20

16, 4, 40, 45, 10, 160

300

True or False

3 x 300 = (3 x 3) x 100

True

3 x 300 = (3 x 3) x 100

300

See Question 3


8 x 25 = 200 (missing factor/dimension)

300
One day, Kendra and her friend Amy washed windows together. They earned $25 and split it evenly. How much money did they each get?

$25 / 2 = 12 R 1 = $12.50 each

300

50 x ____ = 250

5

300

Which of these numbers is prime?

17

21

27

34

17

400

True or False

21 / 2 = 11 R 1

False

2 x 10 = 20 + R1

400

See question 4

4 x 14 = 56

400

Carter also washes windows. He charges 10 cents for small windows and 25 cents for large windows. I

If Carter washes 13 small windows and 18 big windows, how much money does he make? 

(13 x 10) + (18 x 25) = 

130 + 450 =

580 = $5.80

400

20 x 6 = ____

120

400

Fill in the blank.

(29 x 30) = (20 x 30) + (____ x 30)

9

500

Fill in the blank.

15 x 10 = (___ x 10) + (5 x 10)

10

500

See question 5

11 x 15 = 165

500
Spencer has 270 marbles. Jake said, "Spencer has 3 times as many marbles as I do!" Which equation could represent this situation. (j stands for Jake's marbles)

 270 x 3 = j

3 x 270 - j

3 x j = 270

270 x j = 3

3 x j = 270

500

30 x ____ = 120

4

500

Sara was cleaning her room. She found 17 tiny toy cars and decided to give them to her 2 brothers. 

Sara divided the 17 tiny cars evenly between the 2 boys. Which equation shows how things worked out?

17 / 2 = 8 R1

17 / 2 = $8.50

17 / 2 = 8 1/2

Explain your choice. Why did you choose that equation?

17 / 2 = 8R1

 I chose this equation because there could be one car left over, the problem isn't talking about money and you can't cut a car in half.