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Equivalent Expressions

Total questions: 10

Worksheet time: 30mins

Name
Class
Date
1.

Select all expressions that are equivalent to:

3x - 19 + 12x

a)

15x - 19

b)

9x - 19

c)

15x + 19

d)

12x + 3x - 19

e)

-19 + 15x

2.

Select all expressions that are equivalent to:

-4y + 20 + 7y - 15

a)

3y + 5

b)

11y - 5

c)

-3y + 5

d)

5 + 3y

e)

3y - 35

3.

Select all expressions that are equivalent to:

1/3(24b - 12) + 2b

a)

10b - 4

b)

8b - 4 + 2b

c)

-4 + 10b

d)

21b - 9 + 2b

e)

8b + 2b - 4

4.

Select all expressions that are equivalent to:

-9m + 10 - 4m + 1

a)

5m + 9

b)

-13m + 11

c)

11 - 13m

d)

-5m + 11

e)

1 + 10 - 9m - 4m

5.

Select all expressions that are equivalent to:

-1/2(40x - 18)

a)

38x + 16

b)

-25x - 9

c)

-20x + 9

d)

9 - 20x

e)

16 + 38x

6.

Calvin sells baked goods for $12 per batch. Ingredients cost him $3.50 per batch. Select all equivalent expressions that represent the scenario if b represents number of batches:

a)

9.50b

b)

8.50b

c)

3.50b + 12b

d)

12b - 3.50b

7.

You make a plan to save $50 per week and add it to your bank account that has $750 in it. You have to pay a weekly bill that costs you $30 each week. Select all equivalent expressions that represent the scenario if w represents number of weeks:

a)

750 + 50w - 30w

b)

-50w + 30w - 750

c)

20w + 750

d)

-20w - 750

8.

Betsy owns a flag making business. Materials for each flag cost her $22.50, but she sells each flag for $90. Select all equivalent expressions that represent the scenario if f represents number of flags:

a)

112.50f

b)

-22.50f + 90f

c)

67.50f

d)

90f - 22.50f

9.

Betsy owns a flag making business. Materials for each flag cost her $22.50, but she sells each flag for $90. She attends a craft fair to sell her flags and has to rent a tent for $150. Select all equivalent expressions that represent the scenario if f represents number of flags:

a)

-150 - 22.50f + 90f

b)

-22.50f + 90f

c)

67.50f - 150

d)

90f - 22.50f - 150

10.

Daniel sells gift baskets of vegetables from his garden each summer. Materials for each gift basket cost him $34. Daniel sells his vegetable gift baskets for $75 each. Select all equivalent expressions that represent the scenario if g represents number of gift baskets:

a)

40g

b)

75g + 34g

c)

-34g + 75g

d)

-75g - 34g