6th Grade Math: Solving Equations and Expressions

1. Sarah has 3 times as many apples as Tom. If Tom has x apples, write an equation to represent the number of apples Sarah has. How many apples does Sarah have if Tom has 4 apples?

• 8

• 10

• 12

• 15

2. A movie theater sells tickets for $10 each. If x is the number of tickets sold, write an equation to represent the total revenue. How much revenue is generated if 50 tickets are sold?

• 400

• 500

• 300

• 600

3. The sum of a number y and 15 is equal to 40. Write an equation to find y. What is the value of y?

• 35

• 30

• 25

• 20

4. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Write an equation to represent the total cost C for driving m miles. How much would it cost to drive 100 miles?

• $50

• $70

• $100

• $90

5. If a rectangle has a length of 2x and a width of x + 3, write an expression for the area A of the rectangle. What is the area if x = 4?

• 48

• 56

• 32

• 24

6. A school is planning a field trip. The cost per student is $15, and there are x students attending. Write an equation for the total cost T. How much will it cost if 30 students go?

• $450

• $600

• $4500

• $300

7. The temperature in a city is 5 degrees higher than twice the temperature in another city. If the temperature in the other city is t degrees, write an equation for the temperature in the first city. What is the temperature if t = 10 degrees?

• 20 degrees

• 15 degrees

• 25 degrees

• 30 degrees

8. A gardener is planting flowers in rows. If there are 4 rows and each row has x flowers, write an equation for the total number of flowers F. How many flowers are there if x = 6?

• 24

• 30

• 12

• 18

9. A store is having a sale where each shirt costs $15. If a customer buys x shirts, write an equation for the total cost C. How much will it cost if the customer buys 5 shirts?

• $45

• $75

• $90

• $60

10. The perimeter P of a rectangle is given by the equation P = 2(length + width). If the length is 10 and the width is w, write an equation to find the width when the perimeter is 40. What is the value of w?

• 10

• 5

• 15

• 20