Equivalent Expressions

Select all expressions that are equivalent to:

3x - 19 + 12x

• 15x - 19

• 9x - 19

• 15x + 19

• 12x + 3x - 19

• -19 + 15x

Select all expressions that are equivalent to:

-4y + 20 + 7y - 15

• 3y + 5

• 11y - 5

• -3y + 5

• 5 + 3y

• 3y - 35

Select all expressions that are equivalent to:

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

• 10b - 4

• 8b - 4 + 2b

• -4 + 10b

• 21b - 9 + 2b

• 8b + 2b - 4

Select all expressions that are equivalent to:

-9m + 10 - 4m + 1

• 5m + 9

• -13m + 11

• 11 - 13m

• -5m + 11

• 1 + 10 - 9m - 4m

Select all expressions that are equivalent to:

-1/2(40x - 18)

• 38x + 16

• -25x - 9

• -20x + 9

• 9 - 20x

• 16 + 38x

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:

• 9.50b

• 8.50b

• 3.50b + 12b

• 12b - 3.50b

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:

• 750 + 50w - 30w

• -50w + 30w - 750

• 20w + 750

• -20w - 750

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:

• 112.50f

• -22.50f + 90f

• 67.50f

• 90f - 22.50f

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:

• -150 - 22.50f + 90f

• -22.50f + 90f

• 67.50f - 150

• 90f - 22.50f - 150

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:

• 40g

• 75g + 34g

• -34g + 75g

• -75g - 34g