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Alg 2: Chapter 3 Practice Test 1. Tell how many solutions the linear system has: infinitely many solutions, one solution, or no solutions: 3x –y = -6 3x – y = 14 A. Infinitely many B. One solution C. No solution 2. Is (-4, 1) a solution to -4x + 3y=19 5x – 7y= -27? 7. Which ordered pair is NOT a solution to the system? Y ≤ -x + 4 Y ≥ ½ x -2 A. B. C. D. (0, 2) (1, 3) (-2, 2) (-1, -1) 8. Find the maximum value of C under the constraints: C= -2x + 3y Constraints: x ≥-4 3. Is (0,2) a solution to 17x + 8y=16 -x – 4y=8 ? 4. Tell how many solutions the linear systems has: infinitely many solutions, one solution, or no solutions: 6x -2y = -2 -3x – 7y = 17 A. Infinitely many B. One solution C. No solution 5. Solve the liner system: -3x -5y = -23 2x – 4y = -14 A. (1, 4) B. (4, -1) C. (1, -4) D. (-4, -1) 6. Solve the linear system: 5x + 6y = -9 -x – 8y = -5 A. (1,3) B. ( 3, -1) C. (-3, 1) D. no solution X≤3 Y ≥ -1 Y≤2 A. -6 B. 2 C. 10 D. 14 9. Which number is NOT a solution to -3 < 2x + 5 < 7 A. 0 B. 1/3 C. -4 D. -2 10. Which of the ordered pairs is NOT a solution to x < -y + 3 A. (-3, 5) B. (-4, 7) C. (6, -7) D. (0, 1) 11. Which of the ordered pairs is NOT a solution of the following system of linear inequalities? Y ≤ -x + 4 Y ≥ ½ x -2 A. (0, 2) B. (1, 3) C. (-2, 2) D. (3, 2) Alg 2: Chapter 3 Practice Test SOLVE: 12. │x-1│ > 2 13. │x + 8│ ≥ -3 14. -5 ≤ 3x -6 ≤ 7 19. What does the 3 tell us about this graph? Y = -2 │x -3│ + 7? A. shifts up B. shifts down C. shifts right D. shifts left GRAPH: 20. y = -3│x-1│ +2 15. x -4 ≤ 3 or x -1 ≥ 15 21. –y ≥ -2x + 6 22. 2x -4y ≤ 12 16. Is x = -7 as solution of the inequality 5x -7 ≤ 3(x – 7)? GRAPH THE FOLLOWING SYSTEMS: 23. 5x + y ≤ 5 X≥1 17. Write the equation of a line, in slopeintercept form, that passes through the point (-3, 2) and is parallel to the line x-y=7. Y<4 24. y ≥ -3x -1 Y<x+2 GRAPH THE SYSTEM AND ESTIMATE THE SOLUTION: 18. Write the equation of a line, in standard form, that passes through the point ( 1, 4) and is perpendicular to the line y = -3x + 1. 25. x + 5y = -12 X – 5y = 8 26. 3x – y = 12 -x + 8y = -4 Alg 2: Chapter 3 Practice Test SOLVE THE LINEAR SYSTEM ANY METHOD YOU CHOOSE: 27. 2x – y = 7 Y = 2x + 8 28. 7x + y = 10 3x – 2y = -3 29. 3x – y = 4 -9x + 3y = -12 30. 7x – 4y = -3 2x + 5y = -7