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Open Up - Grade 8 - Mathematics - Unit 4 - Lesson 15

Last updated 11 months ago

8 questions

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Question 1

1.

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?(Round to the nearest cent)

Question 2

2.

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

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.

Question 3

3.

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.

Question 4

4.

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.

Question 5

5.

Question 6

6.

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

Question 7

7.

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

y=0.8x

y=\frac{5}{4}x

y=6-3x

y=2.5x+6

y=6-2.5x

Question 8

8.

Solve the system of equations and confirm the accuracy of your estimate.(Use the Information from questions 6 and 7)