Grade 8 | Unit 4 | Lesson 15: Writing Systems of Equations | Practice Problems

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? Explain or show your reasoning.

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• 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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Solve the system of equations and interpret the solution.

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

The graph of two intersecting lines in the xy-plane. Scale negative 1 through 5 on both axes. The first line slants upward and right, crosses y axis at 0, and passes through the point 3 comma 2. The second line slants downward and to the right, crosses the y axis at 6, and passes through the point 2 comma 1.

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

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

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