Lesson 6 Writing Systems of Equations

Lesson 6 Writing Systems of Equations

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Fill in the Blanks

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?

Type the number only with two decimal places.

Open Ended

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.

Fill in the Blanks

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.

Solve the system. Type your answer as an ordered pair with no spaces, ex (2,5) . Let x be the number of goals and y be the number of penalties.

Fill in the Blanks

Solve: {y=6x−8 y=-3x+10

Write your answer as an ordered pair with no spaces. ex (5,4)

Multiple Select

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

• y=6−2.5x

• y=2.5x+6

• y=6−3x

• y=0.8x

Multiple Choice

Decide which story can be represented by the system of equations y=x+6 and x+y=100. Explain your reasoning.

• Diego’s teacher writes a test worth 100 points. There are 6 more multiple choice questions than short answer questions.

• 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.