Algebraic Word Problems

Ariel has 2 bags of candy, with the same amount in each bag.  Jason has 12 pieces of candy.  Combined, they have 52 pieces of candy.  How much candy is in each bag?

• 2c + 52 = 12
• 2c - 12 = 52
• 2c + 12 = 52
• 12c + 2 = 52

Jim paid a gym membership fee of $50, plus $20 per month.  Jim has paid a total of $290 to the gym.  How many months has Jim been a member of the gym?

• 50 + 20m = 290
• 20 + 50m = 290
• 50 + 20 = m
• 50m - 20 = 290

A bag of candy was shared equally among 4 friends.  Seven pieces were given away to Mrs. Neale, their favorite teacher.  They ended up with 8 pieces of candy left over.  How much candy was in the bag?

• c/7 - 4 = 8
• c/4 + 7 = 8
• 4/c - 7 = 8
• c/4 - 7 = 8

Billy bought 5 items that each cost the same amount. If he spent a total of $62.00 on the items, how much did each item cost? Use d as your variable and write an equation to solve this problem.

• d/5=62
• d-5=62
• 5d=62

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5
• Add 6 to both sides and multiply both sides by 5
• Subtract 6 from both sides then multiply both sides by 5
• Subtract 6 from both sides then divide both sides by 5

A taxi charges $3, plus $1.50 for each mile traveled.  Jaiden rode in the taxi from her home to the airport and was charged $30.  How many miles does Jaiden live from the airport?

• $3 + $1.50m = $30:  18 miles
• $1.50 + $3.00 = $30:  20 miles
• $30 + $1.50m = $3:  22 miles

Jose made 55 cupcakes for Mrs. Fuller's 7th grade math class because that is his favorite class.  He gave the same number of cupcakes to each of his 15 classmates because he loves math so much.  He had 10 left over.  Which equation represents this word problem.

• 55 - 15c = 10
• 15 + 10c = 55
• Math is Jose's favorite subject.

Julian is going to the carnival to ride the rides. It costs $20 to get into the carnival and ride tickets are $0.50 each. Write an equation that represents this scenario if he spends $35 in all.

• .50x + 20 = 35
• .50x = 35
• .50 + 20x = 35 
• .50x - 20 = 35

A stadium has a total of 18,000 seats. Of these, 7,500 are field seats, and the rest are grandstand seats. Which equation could be used to find the number of grandstand seats s?

• s + 7,500 = 18,000
• s - 7,500 = 18,000
• s + 18,000 = 7,500
• s - 18,000 = 7,500

Solve the equation.

• -8
• 8
• -72
• 72