Word Problems and Graphing Adventures in Algebra 7

A store sells pencils for $0.50 each. If you buy x pencils, write an equation to represent the total cost. How much would it cost to buy 10 pencils?

• $10.00

• $5.00

• $2.00

• $7.50

Maria has 3 times as many marbles as John. If John has y marbles, write an equation to express the number of marbles Maria has. If John has 5 marbles, how many does Maria have?

• 20

• 25

• 15

• 10

A car rental company charges a flat fee of $20 plus $0.15 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?

• $35

• $20

• $15

• $50

The perimeter P of a rectangle is given by the equation P = 2l + 2w, where l is the length and w is the width. If the length is 8 meters, write an equation to find the width w if the perimeter is 36 meters.

• 12 meters

• 14 meters

• 8 meters

• 10 meters

A school is planning a field trip. The cost per student is $15, and there are s students attending. Write an equation for the total cost T of the trip. If there are 30 students, what is the total cost?

• $300

• $4500

• $600

• The total cost is $450.

A gardener is planting flowers in rows. If each row has r flowers and there are 4 rows, write an equation to find the total number of flowers F. If there are 6 flowers in each row, how many flowers are there in total?

• 30

• 18

• 24

• 20

The equation y = 2x + 3 represents a line on a graph. What is the y-value when x = 4?

• 7

• 11

• 9

• 15

A bike shop sells bikes for $200 each. If the shop sells b bikes, write an equation for the total revenue R. How much revenue does the shop make if it sells 15 bikes?

• 3000

• 3500

• 2500

• 1800

A recipe requires 2 cups of flour for every 3 cups of sugar. Write an equation to represent the relationship between flour f and sugar s. If you use 6 cups of sugar, how many cups of flour do you need?

• 6 cups of flour

• 4 cups of flour

• 3 cups of flour

• 2 cups of flour

The equation y = -x + 5 represents a linear function. Graph this equation and identify the y-intercept and slope. What does the slope tell you about the relationship between x and y?

• The y-intercept is (0, 0) and the slope is 1.

• The y-intercept is (0, 5) and the slope is -1.

• The y-intercept is (5, 0) and the slope is 0.

• The y-intercept is (0, -5) and the slope is 2.