PSABM5YC - Practice---Acc7.5 Lesson 16 Writing Systems of Equations (8.EE.C.8, 8.EE.C.8.b, 8.EE.C.8.c)
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Part A)

Kiran and his cousin work during the summer for a landscaping company. Kiran's cousin has been working for the company longer, so his pay is 30% more than Kiran's. Last week his cousin worked 27 hours, and Kiran worked 23 hours. Together, they earned $493.85.

 

What is Kiran's hourly pay? 

 

Do not include units ($) in your answer.

 

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Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part B)

Explain or show your reasoning.

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Part A)

Decide which story can be represented by the system of equations and 100.

 

  1. Diego’s teacher writes a test worth 100 points. There are 6 more multiple choice questions than short answer questions.
  2. Lin and her younger cousin measure their heights. They notice that Lin is 6 inches taller, and their heights add up to exactly 100 inches.

 

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Select one:
Part B)

Explain your reasoning.

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Part A)

Clare and Noah play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty. Clare makes 6 goals and 3 penalties, ending the game with 6 points. Noah earns 8 goals and 9 penalties and ends the game with -22 points.

 

Write a system of equations that describes Clare and Noah's outcomes. Use x to represent the number of points for a goal and y to represent the number of points for a penalty.

 

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Part B)

Solve the system.

 

Write your answer in the following format:

 

(x,y)


with no spaces.

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Part C)

What does your solution mean?

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Solve: 

 

Write your answer in the following format:

 

(x,y)


with no spaces.

 

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Part A)

Estimate the coordinates of the point where the two lines meet.

 

 

Write your answer in the following format:

 

(x,y)

 

with no spaces.

 

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Part B)

Choose two equations that make up the system represented by the graph.

 

Select all that apply:
Part C)

Solve the system of equations and confirm the accuracy of your estimate.

 

What is the x-value of the solution?

 

Give your answer as a simple fraction.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):
Part D)

What is the y-value of the solution?

 

Give your answer as a simple fraction.

Type your answer below as a number (example: 5, 3.1, 4 1/2, or 3/2):