Real World Algebraic Problems

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

Five more than half a number is six. Find the number.

• -2

• 2

• 1

• -1

Seven less than the quotient of a number and five is two. Find the number.

• 35

• 25

• 45

• 9

Three fewer than four times a number is five more than twice the number. Find the number.

• 4

• 1

• 2

The Blake Upper School ordered two copiers plus a supply of toner cartridges. Each copier cost $675, and each cartridge cost $80. If the total cost was $2,310, how many cartridges were ordered?

• 20 cartridges were ordered.

• 21 cartridges were ordered.

• 12 cartridges were ordered.

Jack bought 8 pairs of socks and a T-shirt. His bill was $18.50 without tax. The T-shirt was $6.50. What was the price of each pair of socks?

• Each pair of socks costs $2.00.

• Each pair of socks costs $1.50.

• Each pair of socks costs $3.00.

Mrs. Wagner wants to go to the zoo with her extended family. A family membership costs $25 plus an additional $3 for each child’s pass. She spent $37 for a membership and passes. How many child passes did she buy?

• Mrs. Wagner bought 4 child passes.

• Mrs. Wagner bought 3 child passes.

• Mrs. Wagner bought 5 child passes.

Papa John is 50 years old. His age is 2 years more than 3 times the age of Jimmy John. How old is Jimmy John?

• Jimmy John is 16 years old.

• Jimmy John is 17 years old.

• Jimmy John is 18 years old.

• Jimmy John is 19 years old.

Write and solve an algebraic inequality for each problem.

• x > 40

• x ≥ 40

• x < 40

• x ≤ 40

Write and solve an algebraic inequality for each problem.

• x ≤ 65,000

• x < 65,000

• x > 65,000

• x ≥ 65,000