

Lesson 6 Writing Systems of Equations
Presentation
•
Mathematics
•
8th - 12th Grade
•
Hard
+1
Standards-aligned
Andrew Witczak
Used 1+ times
FREE Resource
10 Slides • 6 Questions
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11
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.
Type answer...
12
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.
13
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.
Type answer...
14
Fill in the Blanks
Solve: {y=6x−8 y=-3x+10
Write your answer as an ordered pair with no spaces. ex (5,4)
Type answer...
15
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
16
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.
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