Equation Word Problems

• -1/2
• 1/2
• -3
• 3

The equation below represents the amount of fees charged by two companies.
20 + 1.20v = 5 + 4v
Which scenario best describes the fees charged when v represents the number of miles.

• GO charges $1.20 per mile.  MILA charges $4 per mile.

• GO charges $20 per mile and a renting cost of $1.20.  MILA charges $5 per mile and a $4 renting cost.

• GO charges $1.20 per mile and a renting cost of $20.  MILA charges $4 per mile and a $5 renting cost.

• GO charges $1.20 per mile and a renting cost of $20.  MILA charges $5 per mile and a $4 renting cost.

Mona is ordering cups for her school.  Company A charges $3.50 for each cup and a one-time starter fee of $14.  Company B charges $0.50 for each trophy and a one-time starter fee of $22.  
Which inequality can be used to find x, the minimum number of cups that can be ordereed so that the total charge at Company A is less than the total charge at Company B?

• 3.5x + 14 < 0.5x + 22

• 3.5x + 14 > 0.5x + 22

• 3.5 + 14x < 0.5 + 22x

• 3.5 + 14x > 0.5 + 22x

Renting games online from Netwii costs $3.33 per game  with no monthly fee.  Renting games online from HDO costs $2.00 per game plus a monthly fee of $10.00.
Which inequality represents the situation when the monthly cost at Netwii is more than the monthly cost at HDO?

• 3.33v > 2v + 10

• 3.33v + 10 > 2v 

• 3.33v < 2v + 10

• 3.33v + 10 < 2v

You want to buy a car and you've decided to pay cash instead of taking a loan. The car you want to buy is $6,000. You have already saved $1,300. If your job pays $18 per hour, then how many more hours will you need to work to buy the car?

What is missing from this equation:

_____________________ = 6000

• h + 1300

• h - 1300

• 1300 + 18h

• 1300 - 18h

Answer explanation

1300 + 18h = 6000 is the best equation. The total you need to have is 6000. The amount of money that you have is 1300 (what you saved) plus 18 x hours worked.

The sum of three consecutive numbers is 72. Find the numbers.

• 23, 24, 25

• 22, 23, 24

• 21, 22, 23

• 24, 25, 26

Solve the multi-step problem: A rectangle has a length that is twice its width. If the perimeter of the rectangle is 36 units, what is the area of the rectangle?

• 48 square units

• 64 square units

• 72 square units

• 32 square units

Barry needs $1,449 for summer camp. Two local clubs will each match what he saves. Barry has 3 months before he leaves for summer camp. How much does Barry need to save on his own each month to have enough for summer camp?

• 12
• 48
• -35
• -27

The inequality shown below represents fees for two different apartments. 500x + 700 < 650x + 200 Which situation below does this inequality represent?

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is equal to Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is greater than Apartment A charging $650 per month with a $200 deposit.

• Apartment A charges a $700 per month and then $500 deposit. Apartment B is greater than Apartment A charging $650 deposit with $200 per month.

• Apartment A charges a $700 deposit and then $500 per month. Apartment B is less than Apartment A charging $650 per month with a $200 deposit.