Word Problems and Equations

Word Problems and Equations

​When Solving Word Problems

• ​Read the entire word problem.

• ​Think about the word problem.

• ​What is the question?

• ​Write on the word problem.

• ​Check your work when done.

Multiple Choice

It costs $320 for a camping trip. It costs $50 to park your vehicle for the entire trip and $90 per day for the camping site. Which equation could be used determine the number of days of the camping trip?

• 50x + 90x = 320

• 50 + 90x = 320

• 320 + 90x = 50

• 90x = 50+ 320

Multiple Choice

Jacob makes $55,000 and is getting annual raises of $2,500. Luke makes $62000, with annual raises of $2,000.

How many years, y, will it take for Jacob and Luke to make the same salary?

• 2,000y + 62,000y = 2,500y + 5,000y

• 2,000y + 62,000 = 2,500y + 55,000

• 2,500y + 62,000 = 2,000y + 55,000

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​Set up:

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Multiple Choice

Tate is employed as a truck driver. He drives x hours in a week and is paid $21.60 per hour. He earns a total of $1114 in a week which includes a food allowance of $250.

Which equation represents this situation? 

• 21.60x - 250 = 1114

• 21.60x - 250x = 1114

• 21.60x + 250 = 1114

• 21.60x + 250x = 1114x

Multiple Choice

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, x, will it take for the two containers to have the same amount of water?

What equation matches this situation? 

• 800 - 6x = 1000 - 10x 

• 800 + 6x = 1000 + 10x 

• 800x - 6x = 1000x - 10x 

• 6x + 10x = 1800

Multiple Choice

A twelve inch candle and an 18 inch candle are lit at 6pm. The 12-in. candle burns 0.5 inches every hour. The 18 inch candle burns two inches every hour. At what time will the two candles be the same height? Let h represent the number of hours.

What equation matches this situation? 

• 18 - 2h = 12 - 0.5h

• 18 + 2h = 12 + 0.5h

• 18h - 2h = 12h - 0.5h

• 0.5h + 2h = 18 + 12

Multiple Choice

Cross  Middle School order two copiers plus a supply of toner cartridges. Each copier cost $675, and each cartridge cost $80. If the total cost was $2310, how many cartridges were ordered?

What equation matches this situation? 

• 2(675) + 80x = 2310

• 2(675x) + 80x = 2310.

• 675x + 80x = 2310

Multiple Choice

Sam ordered 4 tacos (x) and 5 enchiladas (y) for lunch at the restaurant. His bill came to $10.80.

Which equation matches the given situation?

• 4x + 3y = 8.10

• 4x + 5y = 10.80

• 4x - 5y = 10.80

• 4x + 10.80y = 5

Multiple Choice

A family spent $93 at a carnival. They spent $18 on tickets to the carnival and $36 on food. They spent the rest of the money on games. Which equation can be used to find g, the amount of money in dollars the family

spent on games?

• 93=g+36−18

• 93=18+36−g

• 93=36−18−g

• 93=g+36+18

Multiple Choice

The Dorchester County Fair costs $15.00 to get in and $2.50 per ride, while the Berkeley County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

Multiple Choice

John and Jane went to a bakery to get cookies for a party. Jane bought x cookies that were $3 each. John bought x cookies that were on sale for $1 plus he got a small cake for $10.00. If John and Jane both spent the same amount of money, which equation shows how many cookies, x, they purchased.

• 3x = x + 10

• x = 3x + 10

• 3x + x = 10

• 3x + x + 10 = 0