Name: ______Date: ______

Pre-Algebra Lesson 6-2 and Direct Variation Review Worksheet

Directions: Determine whether the set of numbers in the tables below are proportional. If the relationship is proportional, write an equation.

1) 2)

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Baseballs / 1 / 2 / 3 / 4 / 5
Cost (dollars) / 2 / 3 / 4 / 5 / 6
Time (seconds) / 1 / 2 / 3 / 4
Distance (meters) / 24 / 48 / 72 / 96

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3) Jake earned $55 after working for 5 hours. 4) A store is having a sale where all pants are ¼ off the

Write an equation comparing earnings to original price. Write an equation relating the sale

numbers of hours worked. How much price to the regular price. What would be the sale price

would Jake earn after working 60 hours? of a pair of pants that originally cost $45?

5) The football team is holding a ticket raffle to earn money. Every 4 tickets cost $14.

a. Complete the table below.

Number of Tickets / 4 / 6 / 8 / 10
Cost (dollars) / 14 / 21

b. Find the constant ratio as a unit price (cost per ticket). Include the units of measure.

c. Write the equation that relates the cost in dollars to the number of tickets.

d. Use your equation in Part C to find the cost of 11 tickets.

6) The cost of chicken varies directly with the number of pounds bought. Suppose 2 pounds of chicken

cost $6.50.

a.  Write an equation that could be used to b. Find the cost of 4.5 pounds of chicken.

find the cost of chicken.

7) The amount of sales tax varies directly with the 8) Suppose y varies directly with x. Write an

cost of a purchase. If the sales tax is $4.40 on a equation relating x and y if y = 24 when x = 8.

purchase of $55, what is the sales tax on a purchase

of $80?

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