Linear Equations Gr.9

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the price to ride 10 rides?

• 35

• 21.5

• 30

• 30.50

A balloon is released from the top of a building that is 50 meters tall. The balloon rises at the rate of 4 meters per second. Which equation represents the situation?

• y = 4x + 50

• y = - 4x + 50

• y = 50 - 4x

• y = 4x - 50

What is the equation that represents the table?

• y = - 2x - 5

• y = 2x + 5

• y = 1/2x

• y = 1/2x + 5

Before beginning voice lessons, Ryan already knew how to sing 7 pieces, and he expects to learn 2 new pieces during each week of lessons. Write an equation that shows the relationship between the number of weeks x and the number of pieces learned y.

The local service center advertises that it charges a flat fee of $50 plus $8 per mile to tow a vehicle. Write an equation that represents the total cost (C) of a service for m miles of towing.

• y = 8x + 50

• C = 50m +8

• y = 50x + 8

• C = 8m + 50

Which of the following situations could be descried by the equation y= -25x + 120

• There are 120 people in the football stadium, and 25 more are entering each hour.
• A plumber charges $25 for a house call and $120 per hour.
• A teacher has 120 students. Her third period has 25 students
• There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute

Which equation would describe "two times a number plus five equals 15"?

• x + 5 = 15
• 2x + 5=15
• x + 2(5) = 15
• 2(x + 5) = 15

At Eagle Bay, there is an entrance fee and it costs $10 per hour to rent a canoe. Nick and his friends rented a canoe for 3 hours and paid $45.

A. Write and solve a linear equation to find the cost to rent the canoe for 7 hours.

B. How much is the entrance fee at Eagle Bay?

• A. $95. B. $15

• A. $85. B. $15

• A. $75. B. $25

• A. $85 B. $25.

Diego scores 11 more points than Travis.  Together they score 21 points.  How many points did each person score?

• Diego: 11,   Travis: 10
• Diego:  10,  Travis:  11
• Diego: 5,  Travis:  16
• Diego:  16, Travis:  5

472 students are going on a field trip.  120 students will be returning home and the rest will be spending the night in cabins. If a cabin sleeps 8 people, how many cabins need to be rented?

• 4 cabins
• 44 cabins
• 59 cabins
• 74 cabins