I&D Equations Word Problems

Wanda and Xena are sisters. Their parents give them an allowance each week. Xena spent all of hers last week and has none left. Wanda has $4. Write an equation that relates the value of Wanda’s money to Xena’s assuming neither spends any money for the foreseeable future, and they each get the same amount for an allowance. Variables: w = Wanda’s money, x = Xena’s money.

• w = x + 4

• w = x - 4

• w = x

• w = x + 8

Albert is five years younger than his brother Bill. What is the equation that shows Albert’s age with respect to Bill’s? Variables: a = Albert’s age, b = Bill’s age.

• a = b - 5

• a = b + 5

• b = a - 5

• b = a + 5

Georgia's grandma drives at a constant speed of 25 miles per hour. Write an equation that shows how many miles she will travel after an unknown number of hours. Variables: m = miles traveled, h = hours.

• m = 25h

• m = h + 25

• m = 25 + h

• m = 25/h

Flopsy, Mopsy, Cottontail, and Peter form a rock 'n' roll band. Every time they perform, they equally split the money they earn among the four band members and their manager, Mr. McGregor. Write an equation that shows how much Peter will earn of an unknown total amount, 'T'. Variables: p = Peter’s money earned, T = total amount.

• p = T/5

• p = T/4

• p = T/3

• p = T/6

Vera drives her car 50 miles per hour on the highway. Write an equation that relates her distance traveled (d) to the time elapsed (t).

• d = 50 + t

• d = 50t

• d = t/50

• d = 50 - t

Use your equation from #5 to determine how far Vera travels in 4 hours.

• 100 miles

• 200 miles

• 300 miles

• 400 miles

Use your equation from #5 to determine how many hours it will take Vera to travel 300 miles.

• 5 hours

• 6 hours

• 7 hours

• 8 hours

Samantha earns $8 per hour as a cashier. Write an equation that shows her earnings (E) after 'h' hours.

• E = 8 + h

• E = 8h

• E = h/8

• E = 8 - h

Use your equation from #9 to determine how much Samantha will earn after working 40 hours this week.

• $400

• $480

• $320

• $560

Using your equation from #9, how many hours will Samantha have to work to earn $1000?

• 100 hours

• 125 hours

• 150 hours

• 175 hours