TEST NAME: Unit 6 Systems of Linear Equations TEST ID: 171413 GRADE: 08 SUBJECT: Mathematics TEST CATEGORY: My Classroom Unit 6 Systems of Linear Equations Page 1 of 11 Student: Class: Date: 1. The drama department was considering two options for the winter production. They used the following equations to represent the profit, y, they would make from the sale of tickets, x, minus the costs. Option A: y = 5x – 1500 Option B: y = 3x – 500 Which graph correctly shows the point after which Option A becomes more profitable than Option B? A. B. Unit 6 Systems of Linear Equations Page 2 of 11 C. D. Unit 6 Systems of Linear Equations Page 3 of 11 2. Luis graphed the equations y = −x and y = 3. What is the solution to this system of equations? A. (−3, −3) B. (−3, 3) C. (3, −3) D. (3, 3) 3. Zap Electric Company charges $40 for a house visit plus $55 for each hour worked. Jolt Electric Company charges $60 for a house visit plus $35 for each hour worked. The equations shown model c, the total cost in dollars for h hours of work by each company. Zap Electric: c = 40 + 55h Jolt Electric: c = 60 + 35h Part A. Graph the equation for Zap Electric on the grid. Be sure to label the axes and your graph. Part B. Graph the equation for Jolt Electric on the same grid. Be sure to label the axes and your graph. Part C. What is h, the number of hours, and c, the total cost, at the point where the two graphs cross each other? Unit 6 Systems of Linear Equations Page 4 of 11 4. According to the graph, what is the solution to the system? A. (–2, –1) B. (–2, 1) C. (–1, –2) D. (1, –2) Unit 6 Systems of Linear Equations Page 5 of 11 5. The graph of is shown. Which ordered pair would be the solution for the following system of equations? A. (0, 4) B. (2, 2) C. (2 ,2) D. (4, 0) Unit 6 Systems of Linear Equations Page 6 of 11 6. A system of equations is represented by lines p and q on the grid. Which best represents the solution to this system of equations? A. (3,¯ 2) B. (3,7.5) C. (¯2, 3) D. (7.5,3) 7. Which graph represents the solution to this system of equations? A. Unit 6 Systems of Linear Equations Page 7 of 11 B. C. D. 8. Which graph represents the solution to this system of equations? Unit 6 Systems of Linear Equations Page 8 of 11 A. B. Unit 6 Systems of Linear Equations Page 9 of 11 C. D. Unit 6 Systems of Linear Equations Page 10 of 11 9. Janice solved the system of equations below by eliminating the variable s. She multiplied Equation B by a factor and added the result to Equation A. Equation A: 9s + 4t = 13 Equation B: 3s – 6t = 8 Which factor could Janice have used? A. –3 B. C. 0.3 D. 10. A system of linear equations is shown below. What is the xcoordinate of the solution? 5x = 3y –2 y = x + 4 A. 5 B. 4 C. 2 D. 1 11. What is the solution to this system of equations? y = 4x + 13 y = x + 4 A. (¯3, 1) B. (3,¯1) C. D. Unit 6 Systems of Linear Equations Page 11 of 11