Simplifying Expressions: Word Problems Challenge

1. Sarah has 3 bags of apples. Each bag contains x apples. Write an expression for the total number of apples and simplify it.

• x+3

• 4x

• 3x

• 2x

2. A rectangle has a length of 4x and a width of 2. Write an expression for the perimeter of the rectangle and simplify it.

• 8x + 2

• 4x + 2

• 8x + 4

• 6x + 4

3. If a book costs $5 and you buy y books, write an expression for the total cost and simplify it.

• $5y

• 5 + y

• $10y

• 5y

4. Tom is saving money. He saves $10 each week for x weeks. Write an expression for his total savings and simplify it.

• 5x

• 10x

• 20x

• 10x + 5

5. A school is organizing a field trip. Each ticket costs $15, and there are z students going. Write an expression for the total ticket cost and simplify it.

• 15z

• 20z

• 15 + z

• 10z

6. A farmer has 2x cows and 3x sheep. Write an expression for the total number of animals and simplify it.

• 4x

• 5x

• 5x + 2x

• 6x

7. Lisa bought 4 packs of stickers, each containing y stickers. Write an expression for the total number of stickers and simplify it.

• 2y

• y^2

• 4y

• 8y

8. A car travels 60 miles per hour for t hours. Write an expression for the total distance traveled and simplify it.

• 60t

• 120t

• 60t + 10

• 30t

9. A recipe requires 2x cups of flour and 3x cups of sugar. Write an expression for the total amount of flour and sugar needed and simplify it.

• 4x cups

• 5x cups

• 3x cups

• 6x cups

10. If a concert ticket costs $20 and you buy x tickets, write an expression for the total cost and simplify it.

• $10x

• $20 - x

• $20 + x

• 20x