Linear Relationships End of Unit Review

The cost of 6 pencils at a store is 30 cents. Each pencil has the same cost.

Which graph has a slope that best represents the cost of each pencil at this store?

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Two student groups went to an amusement park on the same day.

Group 1 bought 9 tickets and received a $120 discount.

Group 2 bought 3 tickets and received a $30 discount.

Both groups spent the same total amount of money on tickets.

The price of each ticket was the same.

What was the cost of each ticket?

• $25

• $12.50

• $15

• $7.50

The ticket sales for a concert started at 4:00PM.

After 2 hours there were 9,000 tickets remaining.

After 4 hours there were 3,000 tickets remaining.

Which function can be used to find y, the number of tickets remaining x hours since 4:00PM?

• y = 3,000x + 12,000

• y = 3,000x + 15,000

• y = -3,000x + 12,000

• y = -3,000x + 15,000

The graph shows the relationship between the cost of some pecans and the weight of pecans in pounds.

Which function best represents the relationship shown in the graph?

• y = 5x

• y = 2x

What are the slope and y-intercept of the graph of the linear function shown on the grid?

(Hint: Use y1 ~ mx1 + b in Desmos)

• Slope = 4, y-intercept = -6

• Slope = -4, y-intercept = -1.5

A teacher bought markers at $3 per set. The teacher had a $2 off coupon to use towards the total cost of the markers bought.

Which table shows this relationship?

• A

• B

• C

• D

Which table shows a non-proportional linear relationship?

• A

• B

• C

• D

Which situation could NOT represent a proportional relationship?

• The number of gallons of water in x barrels with 42 gallons in each barrel.

• The amount an employee who makes $8.50 per hour makes in h hours.

• The weight in x weeks of a puppy who gains 2 pounds per week if its starting weight is 8 pounds.

• The cost of purchasing p pounds of bananas for $0.55 per pound.

Which of these best describes the profit made from selling cards?

• $7.50 per box

• $10 per box

• $4.00 per 30 boxes

• $3.00 per 4 boxes

Which equation represents the table?

• y = 2x + 12

• y = 4x + 6

• y = 2x + 4

• y = 6x + 4