Systems of Equations & Inequalities Test B PDF

Name:____________________________________________ Date:________________Period:_________ B SYSTEMS OF EQUATIONS & INEQUALITIES TEST Part I – Free Response. Determi...

Name:____________________________________________ Date:________________Period:_________ B SYSTEMS OF EQUATIONS & INEQUALITIES TEST Part I – Free Response. Determine the solution for each graph given. Record your answer in the answer column. y y 1. 2. Answers x x 1._______________ 2._______________ y y 3. 4. 3._______________ x x 4._______________ Solve each system of equations using the method of your choice. Record your answer in the answer column. 𝑦 = 2𝑥 − 5 𝑦 = 3𝑥 − 1 5. ൝ 1 6. ቊ 𝑦= −2𝑥 𝑥 + 2𝑦 = 5 5._______________ 6._______________ 7._______________ 6𝑥 − 3𝑦 = 12 𝑦=3 7. ቊ 8. ቊ 8._______________ 2𝑥 + 3𝑦 = 4 3𝑥 − 𝑦 = 12 Part 2 – Multiple Choice. Record your answers in the answer column on the right. 9. Which linear inequality best represents the graph? Answers y A. 2x + y ≤ 3 9._______________ B. 2x – y ≥ 3 x C. y < 2x – 3 D. y > -2x – 3 10. Which linear inequality best represents the graph? y 10.______________ A. x – 4y ≥ -8 B. x + 4y ≤ 8 x C. 4x – y > -1 D. 4x + y < 1 11. Which ordered pair represents a solution to the linear inequality: 11.______________ 5x + 2y < 6 A. (-1, 6) B. (4, 2) C. (-2, 3) D. (0, 3)  Answers 12. Graph the system of linear inequalities. Then use the graph to determine which ordered pair is a solution to the system. y 12.______________ 𝒚 < 𝟐𝒙 − 𝟏 ቊ 𝒙 + 𝟒𝒚 ≤ 𝟖 x A. (3, 1) B. (2, 3) C. (4, 2) D. (-1, 1) 13. Graph the system of linear inequalities. Then use the graph to determine which ordered pair is a solution to the system. 13.______________ y 𝟏 𝒚≥ 𝒙 ቐ 𝟐 𝟐𝒙 − 𝒚 ≥ 𝟑 x A. (0, 4) B. (3, 1) C. (2, 1) D. (5, 0) 14. Algebraically determine which ordered pair is a solution to the system of inequalities. 14.______________ 𝒙≥𝟐 ቊ 𝒙+𝒚 20 8s + 4c ≤ 120 8s + 4c > 120 18. Based on the situation in question 17, which could be a possible combination of steak and chicken Jacie could purchase? 18. ______________ A. 2 pounds of steak B. 8 pounds of steak 14 pounds of chicken 13 pounds of chicken C. 10 pounds of steak D. 12 pounds of steak 11 pounds of chicken 10 pounds of chicken