Linear Relationships Mid-Unit Review

Juan goes to a mechanic that charges a flat fee of $200 to work on the car, plus $50 per hour. Juan’s total was $350.

Which number represents the rate?

Juan goes to a mechanic that charges a flat fee of $200 to work on the car, plus $50 per hour. Juan’s total was $350.

Which number represents the y-intercept?

Juan goes to a mechanic that charges a flat fee of $200 to work on the car, plus $50 per hour. Juan’s total was $350.

Which equation represents the situation?

• 350 = 250h

• 350 = 200 - 5h

• 350 = 200h + 50

• 350 = 200 + 50h

Helen spent $20 at a bakery. The brownies were $2 each, and she bought 4. Each cookie costs $1.75.

Which number represents the rate per cookie? (read carefully)

Helen spent $20 at a bakery. The brownies were $2 each, and she bought 4. Each cookie costs $1.75.

Which number represents the y-intercept or starting value? (be careful!)

Helen spent $20 at a bakery. The brownies were $2 each, and she bought 4. Each cookie costs $1.75.

Which equation represents the situation?

• 2c + 1.75c = 20

• 2 + 1.75 = 20

• 1.75c + 8 = 20

• 3.75c = 20

A nanny is paid $120 to watch a child for 8 hours while their parents are at work.

What is the rate in this situation?

Bowling costs $4 for shoe rental plus $5 for every game. Which equation shows how much it costs to go bowling for x games?

• y = 4 + 5x

• y = 5 + 4x

• y = 5x - 4

• y= 4x - 5

Which situation is best represented by the following equation?

8x + 6 = 38

• Andrew babysits to earn extra money. He charges $8, plus an additional 6 dollars per hour. Find x, the number of hours he has to work to make $38.

• Andrew had 6 baseball cards and decided to start collecting 8 new cards per week. Find x, the number of weeks it will take him to have 38 baseball cards.

• Andrew pays $38 to enter Six Flags, and $8 per snack he buys. Find x, the number of snacks Andrew can buy if he goes to Six flags 6 times.

• Andrew gets $8 for each lawn he mows. Find x, the number of lawns he must mow to make $38.

A pack of 15 Christmas ornaments costs $6.30. What is the cost per ornament? (Hint: Remember to use estimation/reasonableness when it’s multiple choice!)

• $8.70

• $94.50

• $0.42

• $1.26