Algebraic Word Problems

Ty weighed 230 pounds. He went on a diet and his weight was decreased by 18 pounds. He started exercising and his weight decreased by another 12 pounds. How much does he weigh?

• 212

• 218

• 200

• 194

Elaina and Sophia sold a total of 32 boxes of popcorn for a school fundraiser. Elaina sold 15 boxes of popcorn. Which equation represents how many boxes of popcorn Sophia sold?

• x = 15 – 32

• 32 + 15 = x

• 32 + x = 15

• 15 + x = 32

A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear.  They sell the teddy bears for $12 a piece.  Which equation could be used to find the number of bears t the company has to sell in one day to equal its daily cost?

• 1500 + 8t = 12

• 12 + 8t = 1500

• 1500 + 8t = 12t

• 8t = 12t + 1500

Maria has 25 dollars.  She has to buy a gallon of milk which costs $3.50.  She wants to spend the rest of her money on cereal.  If each box of cereal costs $4.50, how many can she purchase?

• 4 boxes

• 5 boxes

• 6 boxes

• 7 boxes

Scott works on cars. He charges $35 for each car plus $7 per hour. Write an equation that represents this scenario if Kylie's car bill was $63.

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

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

• 18 miles

• 20 miles

• 22 miles

Tanya made a deposit of $250 into her checking account. Then she withdrew $55. The next day, she wrote a check for $145. She had $350 in her account before any of these transactions. How much money is in her account now?

Evan overdrew his account by $30. He then wrote a check for $70. How much money does he have now?

It takes Heather seven hours to pour a large concrete driveway. Alberto can pour the same driveway in eight hours. How long would it take them if they worked together?

• 1 hour

• 2.37 hours

• 3.73 hours

• 4 hours

Working alone, it takes Stephanie seven hours to clean an attic. Shayna can clean the same attic in 12 hours. Find how long it would take them if they worked together.

• 4.42 hours

• 4 hours

• 3.24 hours

• 3 hours