NAME : CLASS : Algebra 2 Chapter 4 33 Questions DATE : 1. Identify the y-intercept and the axis of symmetry for the graph of f(x) = –3x2+ 6x + 12. A 2; x = –12 B –2; x = 0 C –12; x = –1 D 12; x = 1 A f(x) = x2– 4x B f(x) = –(x+4)2 C f(x) = –x2 – 4x D f(x) = –x2+ 4x 3. Determine whether f(x) = –5x2 – 10x + 6 has a maximum or a minimum value and find that value. A maximum; –1 B minimum; –1 C maximum; 11 D minimum; 11 4. Solve x2 = 4x by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. A between –4 and 4 B –4, 0 C 0, 4 D 2, –4 5. Solve x2 – 3x = 28 by factoring. A {–14, 2} B {–4, 7} C {–2, 14} D {–7, 4} 2. 6. Which quadratic equation has roots 7 and – 2 ? A x2 + 5x – 14 = 0 B x2 - 5x +14 = 0 C x2 – 5x – 14 = 0 D x2 + 5x + 14 = 0 7. Simplify (15 – 13i) – (–1 + 17i). A 46 B 16 – 30i C 16 + 4i D 16 + 30i 8. Simplify (1 + 2i )/(2 - 3i ) A 8/7 + i B – 4/13 + 7/13 i C 8/7 + 1/7 i D –4 + 7i 9. Find the value of c that makes x2 + 5x + c a perfect square trinomial. A 25/16 B -25/4 C 25/4 D 5/4 10. The quadratic equation x2 – 18x = –106 is to be solved by completing the square. Which equation would be a step in that solution? (Select all that apply) A (x - 9)2 = 25 B x2 – 18x + 106 = 0 C x – 9 = ±5i D x2 – 18x + 81 = –106 11. Find the exact solutions to 2x2 = 5x – 1 by using the Quadratic Formula. A (5 ± √17)/2 B (-5 ± √17)/4 C (5 ± √17)/4 D (5 ± √33)/4 12. Use the value of the discriminant to determine the number and type of roots for each equation. 3x2 – x – 12 = 0 A -2 solutions B 0 solution C 1 solution D 2 solutions 13. Use the value of the discriminant to determine the number and type of roots for each equation. x2 + 10 = 3x – 3 A 1 solution B -2 solutions C No solutions D 2 solutions 14. Which quadratic function has its vertex at (–3, 5) and opens down? A y = (x + 3)2 – 5 B y = (x-3)2 + 5 C y = –(x-3)2 + 5 D y = –(x + 3)2 + 5 15. What is the a.o.s of y=2x2 -4x+3 A 1 B -1 C 4 D -4 16. What is the vertex of the equation y=3x2+1 A (0,1) B (1/6,1/12) C (3,1) D (1,0) 17. Solve algebraically 0<x2 - 5x+4 A x<1 or x>4 B 1<x<4 C x<1 or x>5 D 1<x<5 18. Solve algebraically x2+8x+15<0 A 5<x<3 B -5<x<-3 C x<-5 or x>-3 D x<3 or x>5 19. i2 = ? A -1 B i C 1 D 0 20. (2 +4i) + (6-5i) A 12+20i B 12-20i C 8+i D 8-i 21. (3-4i)(2+i) A 10-5i B 10+5i C 6-5i-4i2 D 6-5i+4i2 22. What is the conjugate of -4+2i A 4-2i B -4-2i C -4+2i D 4+2i 23. Does the quadratic f(x)= -2x2 + 3x-1 have a max or a min A min 24. Does the quadratic open upward or downward. f(x)= x2-1 A Downward 25. Solve by factoring x2+9x + 20 A B max B Upward -4,-5 B -11,-2 C 11,2 D 4,5 26. Solve by finding GCF 4x2+16x=0 A 0,4 B 2,8 C 0,-4 D 2,-8 27. The height of a javelin in feet is modeled by h(t)=-16t2+79t+5, where t is the time in seconds after the javelin is thrown. How long is it in the air? (Hint: Do quadratic formula) A 1/16 sec B 5 sec C -5 sec D 5/2 sec 28. Find two consecutive positive even integers with a product of 624 A 22 and 24 B 16 and 39 C 3 and 208 D 24 and 26 29. Simplify A -3i 2 B 9 2 C -3 2 D 3i 2 30. Simplify 5i × 3i A 15i B -15 C 15 i2 D 15 31. Solve x2 +64=0 B 8 A −18 ±8i C -8 32. What is the vertex f(x)= (x-2)2 +4 A -2,-4 B 2,4 C 2,-4 D -2,4 D ±8 33. Find the value of c that makes x2+6x+c a perfect square A 36 B 3 C 6 D 9 Answer Key 1. d 2. c 3. c 4. c 5. b 6. c 7. b 8. b 9. c 10. 11. c 12. d 13. c 14. d 15. a 16. a 17. a 18. b 19. a 20. d 21. a 22. b 23. b 24. b 25. a 26. c 27. b 28. d 29. d 30. b 31. a 32. b 33. d