Algebraic Equation Word Problems

Geneva and Lyla were shopping for new fall clothes. Geneva spent $19.40 less than twice what Olivia spent. Together they spent a total of $272.35. Find the amount each girls spent.

• Geneva spent $200 and

  Lyla spent $72.35.

• Geneva spent $72.35 and

  Lyla spent $200.

• Geneva spent $97.25 and

  Lyla spent $175.10.

• Geneva spent $175.10 and

  Lyla spent $97.25.

Lynn and Bill sold boxes of fruit for a band fundraiser. Lynn sold seven less than twice the number of boxes that Bill sold. In all, the two band students sold 137 boxes of fruit. How many boxes of fruit did Lynn sell?

• Lynn sold 100 boxes of fruit.

• Lynn sold 37 boxes of fruit.

• Lynn sold 48 boxes of fruit.

• Lynn sold 89 boxes of fruit.

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

• 7x + 35 = 63

• 7x = 63

• 7x - 35 = 63

• 35x + 7 = 63

Sarojini 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 she spends $35 in all.

• .50x + 20 = 35

• .50x = 35

• .50 + 20x = 35 

• .50x - 20 = 35

An Uber charges $3, plus $1.50 for each mile traveled.  Sam rode in the Uber from their home to the airport and was charged $30.  How many miles does Sam live from the airport?

• 18 miles

• 20 miles

• 22 miles

WRITE AN EQUATION Harper had $24 to spend on seven pencils. After buying them she had $10. How much did each pencil cost?

• 24-10=7x

• 24+7x=10

• 10+7x=24

• 10+x=14

WRITE AN EQUATION
Aiyana had some candy to give to her four cousins. She first took ten pieces for herself and then evenly divided the rest among her cousins. Each child received two pieces. Write the equation to solve this question correctly.

• (x-10)/4=2

• x-10/4=2

• x-10=2(4)

• 2(x-10)=4

After paying $3.32 for a sandwich, Sabiha has $19.79. How much money did she start with? Which equation could you use to solve this problem?

• 3.32s = 19.79

• s - 19.97 = 3.32

• s - 3.32 = 19.79

In 2010, a tree was 8 feet tall. In 2011 the tree was 14 feet tall. Which equation would be used to find how many feet the tree grew?

• f + 8 = 14

• f - 8 = 14

• f/8 = 14

• 8f=14

WRITE AN EQUATION
Phoebe spent half of her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $4. What is her weekly allowance if she ended with $12?

• 0.5x+4=12

• x+4=12

• 12-4=x

• 12-4=0.5x