Angle Relationships

Question 1

Joe and Nate went for a walk. The system representing each boy’s progress is graphed below. Which statements about the system and scenario are true? Check all that apply.

Revolt · Accepted Answer

Nate starts 5 miles away from Joe’s house and gets closer as he walks because the y-intercept is 5 and his distance is decreasing.; Nate walks at rate of 2 miles every 30 minutes because the difference in distance is 2 miles for every 30 minutes of time.; Joe is walking faster than Nate because his line is steeper, meaning the distance he travels is changing more quickly.

Question 2

Meghan sells advertisements for a radio station. Each 30 second ad costs $20 per play, and each 60 second ad costs $35 per play. Meghan sold 12 ads for $315. She wrote the system below letting x represent the number of 30 second ads and y represent the number of 60 second ads. What is the solution to the system of equations?

Revolt · Accepted Answer

(7, 5)

Question 3

Zöe schedules advertising for a radio station. She must fill 12 minutes each hour with 30 second ads and 60 second ads. Zöe sold twice as many 60 second ads as she did 30 second ads. She defines x as the number of 30 second ads and y as the number of 60 second ads that she sold. Zöe writes the system and . Which statement identifies Zöe’s error and the correction that is needed?

Revolt · Accepted Answer

Zöe used seconds to measure time for each ad, but she used minutes for the total. She should have used .

Question 4

Aisha bought 15 apples and oranges for $9.00. Each orange costs $0.50, and each apple costs $0.65. Let x represent the number of oranges and y represent the number of apples. Which system can be used to find the number of apples and oranges Aisha bought?

Revolt · Accepted Answer

x + y = 15. 0.5 x + 0.65 y = 9.00

Question 5

How many solutions does the system have?

Revolt · Accepted Answer

zero

Question 6

Javier is comparing costs of two cars. Car A costs $130 per month for insurance and $0.10 per mile to run. Car B costs $108 per month for insurance and $0.15 per mile to run. He defines x as the number of miles driven each month and y as the total cost to run the car. Which set of equations can be used to find the number of miles Javier would need to drive to make the costs equal?

Revolt · Accepted Answer

y = 0.10 x + 130. y = 0.15 x + 108

Question 7

The mechanics at Giuseppe’s Auto House specialize in changing fuel injection units and transmissions. Last week, they changed 5 fuel injection units and 10 transmissions and billed 70 hours. This week, they changed 8 fuel injection units and 8 transmissions and billed 64 hours. Let x represent the number of hours to change a fuel injection unit and y represent the number of hours to change a transmission. What is the solution to the system that represents this scenario?

Revolt · Accepted Answer

(2, 6)

Question 8

Rick bought some tetra fish and goldfish for his fish tank. He bought twice as many goldfish as he did tetras. Each goldfish costs $1.50, and each tetra fish costs $2.00. He spent $20 on the fish. Which system can be used to represent x, the number of tetra fish, and y, the number of goldfish, he purchased?

Revolt · Accepted Answer

2 x = y. 2 x + 1.5 y = 20

Question 9

Sylvain spent a total of 18 hours on English and math homework over the last 3 weeks. He spent twice as much time on English than on math. Let x represent the number of hours spent on English and y represent the number of hours spent on math. What is the solution of the system of equations?

Revolt · Accepted Answer

(12, 6)

Question 10

Sheri is making 4 pounds of mixed nuts. She will use the amount of macadamia nuts as she does almonds. How many pounds of each nut will she use?

Revolt · Accepted Answer

1 pound of macadamia nuts; 3 pounds of almonds

Angle Relationships Answers

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