Algebra 2 Word Problems Algebraic Equations

Sandy has 41 books in her library.  She bought several books at a yard sale over the weekend. She now has 94 books in her library. How many books did she buy at the yard sale?

• 134

• 53

• 41

• 60

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

The symbolic manipulation 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

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

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

Theodore has 41 books in his library.  He bought several books at a yard sale over the weekend. He now has 94 books in his library. How many books did he buy at the yard sale?

• 134

• 53

• 41

• 60