7th Grade Algebra: Evaluating Expressions & Costs

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an expression for the number of apples Sarah has and evaluate it when x = 4.

• 8

• 12

• 15

• 10

2. A car rental company charges a flat fee of $50 plus $20 for each day rented. Write an equation to represent the total cost C for d days. How much would it cost to rent the car for 5 days?

• $100

• $75

• $200

• $150

3. The perimeter of a rectangle is 50 meters. If the length is represented by l and the width by w, write an equation for the perimeter and find the dimensions if l = 15 meters.

• Length = 20 meters, Width = 5 meters

• Length = 25 meters, Width = 0 meters

• Length = 15 meters, Width = 10 meters

• Length = 12 meters, Width = 13 meters

4. A school is selling tickets for a play. Each ticket costs $8. Write an expression for the total cost T for buying n tickets. How much would it cost for 10 tickets?

• $80

• $40

• $100

• $60

5. A gardener is planting flowers in rows. If each row has x flowers and there are 5 rows, write an expression for the total number of flowers and evaluate it when x = 6.

• 25

• 35

• 40

• 30

6. The temperature in a city is represented by the equation T = 2x + 30, where x is the number of hours since noon. What is the temperature at 3 PM?

• 42

• 24

• 36

• 30

7. A store is having a sale where each shirt costs $15. If you buy x shirts, write an equation for the total cost C. How much would you spend on 4 shirts?

• $45

• $75

• $30

• $60

8. A bike rental shop charges a one-time fee of $10 plus $5 for each hour. Write an equation for the total cost C for h hours. How much would it cost to rent a bike for 3 hours?

• $30

• $25

• $20

• $15

9. A recipe calls for 2 cups of flour for every 3 cups of sugar. If you have x cups of sugar, write an expression for the amount of flour needed and evaluate it when x = 9.

• 6 cups of flour

• 4 cups of flour

• 8 cups of flour

• 10 cups of flour

10. A train travels at a speed of 60 miles per hour. Write an equation for the distance d traveled in t hours. How far does the train travel in 2.5 hours?

• 200 miles

• 120 miles

• 180 miles

• 150 miles