Creating Equations from Word Problems

Write an equation for the following scenario:

Container A and container B have leaks. Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

• 800 - 6m = 1000 - 10m

• 800 + 6m = 1000 + 10m

• -16m + 1800

• 800 + 6m + 1000 - 10m

Tags

CCSS.8.EE.C.7B

Write an equation for the following scenario:

Tim is choosing between two cell phone plans that offer the same amount of free minutes. Cingular’s plan charges $39.99 per month with additional minutes costing $0.45. Verizon’s plan costs $44.99 with additional minutes at $0.40. How many additional minutes, a, will it take for the two plans to cost the same?

• 39.99 + 0.45a = 44.99 + 0.40a

• 39.99 - 0.45a = 44.99 - 0.40a

• -5 +0.45a = 0.40a

• -5 + 0.85a

Write an equation for the following scenario:

The cost to purchase a song from iTunes is $0.99 per song. To purchase a song from Spotify, you must be a member. The Spotify membership fee is $10. In addition, each purchased song costs $0.89. How many downloaded songs, d, must be purchased for the monthly price of Spotify to be the same as iTunes?

• 0.99d = 10 + 0.89d

• 0.99d = 10d + 0.89

• 0.99d = 10 - 0.89d

• 10 + 0.10d

Write an equation for the following scenario:

Container A has 200 L of water, and is being filled at a rate of 6 liters per minute. Container B has 500 L of water, and is being drained at 6 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?

• 200 + 6m = 500 - 6m

• 200 - 6m = 500 + 6m

• 700

• 200 + 6m = 500 + 6m

Tags

CCSS.7.EE.B.4A

Write an solve the equation for the scenario:

UPS charges $7 for the first pound, and $0.20 for each additional pound. FedEx charges $5 for the first pound and $0.30 for each additional pound. How many pounds, p, will it take for UPS and FedEx to cost the same?

• Equation: 7 + 0.20p = 5 + 0.30p / Solution: p = 20

• Equation: 7 + 0.20p = 5 + 0.30p / Solution: p = 0.05

• Equation: 7p + 0.20 = 5p + 0.30 / Solution: p = 0.05

• Equation: 7 + 0.20p = 5 + 0.30p / Solution: p = 120

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7