7th Grade Algebra: Evaluating Expressions & Graphing Lines

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.

• 15

• 10

• 8

• 12

2. A movie ticket costs $10. If you buy x tickets, write an expression for the total cost and evaluate it when x = 5.

• 30

• 50

• 60

• 40

3. The perimeter of a rectangle is 50 meters. If the length is 2 meters more than the width, write an equation to represent this situation and find the dimensions of the rectangle.

• Width: 10 meters, Length: 12 meters

• Width: 5 meters, Length: 7 meters

• Width: 11.5 meters, Length: 13.5 meters

• Width: 15 meters, Length: 17 meters

4. A car rental company charges a flat fee of $20 plus $0.50 per mile driven. Write an expression for the total cost of renting the car for x miles and evaluate it for x = 100 miles.

• 100

• 50

• 90

• 70

5. The equation y = 2x + 3 represents a line. Graph this equation on a coordinate plane and identify the y-intercept.

• The y-intercept is (0, 2).

• The y-intercept is (3, 0).

• The y-intercept is (0, 3).

• The y-intercept is (1, 3).

6. A store is having a sale where each shirt costs $15. If you buy x shirts, write an expression for the total cost and evaluate it when x = 3.

• $45

• $30

• $75

• $60

7. The sum of a number and 7 is equal to 15. Write an equation to find the number and solve for it.

• 6

• 8

• 10

• 12

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

• 25

• 35

• 30

• 40

9. The equation y = -x + 4 represents a line. Graph this equation and determine where it intersects the x-axis.

• (0, 4)

• (4, 0)

• (1, 3)

• (2, 2)

10. A recipe requires 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

• 10 cups

• 8 cups

• 4 cups