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.

• 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.

Solve the system of equations and interpret the solution.

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.

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

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