Evaluating Expressions & Checking Solutions in 6th Grade

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. Evaluate the expression if x = 4.

• 8

• 15

• 12

• 10

2. A rectangle has a length of 2x and a width of x + 3. Write an expression for the perimeter of the rectangle. What is the perimeter if x = 5?

• 25

• 30

• 40

• 36

3. The sum of a number y and 12 is equal to 30. Write an equation to represent this situation and solve for y. Check your solution by substituting back into the equation.

• 20

• 15

• 25

• 18

4. A book costs $15, and there is a discount of d dollars. Write an expression for the final price of the book. If d = 5, what is the final price?

• 20

• 10

• 15

• 5

5. If a car travels at a speed of 60 miles per hour for t hours, write an expression for the distance traveled. Evaluate the expression for t = 2.

• 90 miles

• 100 miles

• 150 miles

• 120 miles

6. The total cost C of buying n notebooks at $2 each can be expressed as C = 2n. If you buy 7 notebooks, what is the total cost? Check your answer by calculating 2 times 7.

• 16

• 10

• 12

• 14

7. A school has 120 students, and the number of students in each class is represented by c. Write an equation to find the number of classes if each class has 30 students. Solve for c and verify your solution.

• 4

• 3

• 5

• 6

8. A recipe requires 2x cups of flour and 3 cups of sugar. If x = 4, how many cups of flour are needed? Write and evaluate the expression.

• 4 cups of flour

• 10 cups of flour

• 6 cups of flour

• 8 cups of flour

9. The equation 5x - 10 = 20 represents the number of tickets sold. Solve for x and check your solution by substituting x back into the equation.

• 4

• 8

• 10

• 6

10. A gardener plants 4 rows of flowers with x flowers in each row. Write an expression for the total number of flowers. If x = 6, how many flowers are there in total?

• 30

• 24

• 20

• 18