Algebra 2 Summer Assignment - Non Regents

Transcription

1 Name: Date: This assignment is to be completed over the summer. It must be turned in the first day of classes. It will be counted as a quiz. You MUST SHOW all work for each question in the space provided by the question. NO WORK = NO CREDIT! If you lose the sheet you can go on the school website on the Mathematics Department page and download Algebra 2 Summer Assignment Non Regents. Good Luck! 1. Simplify: (4x 2 3x + 8) (3x 2 5) 1. A x 2 3x 3 B x 2 3x + 13 C 7x 2 3x 3 D 7x 2 3x Simplify: (5b 3 2b 2 9) (4b 2 + 6b 1) 2. A b 3 4b 10 B b 3 8b 2 10 C 5b 3 6b 2 6b 8 D 5b 3 6b 2 + 6b Simplify: (3x 2 5x + 9) + (7x 2 + 8x 15) 3. A 10x 2 + 3x 6 B 10x 2 3x 6 C 10x 2 + 3x + 6 D 10x 2 13x 24 page 1

2 4. Simplify: 5x 2 4x + 7 (2x 2 3x 4) 4. A 3x 2 x + 11 B 3x 2 x + 3 C 3x 2 + x + 11 D 3x 2 x 3 5. The sides of a quadrilateral are shown below. Express the perimeter in terms of x. 5. A 5x B 5x + 6 C 5x + 10 D 5x Simplify: 4x 3[5x 2(3 x) + 6x] 6. A x B 18 41x C 18 35x D 9 41x 7. From the sum of 3x 2 7x + 5 and x 2 4x 9, subtract 5x 2 8x A x 2 3x + 3 B x 2 + 3x 3 C x 2 19x 11 D x 2 3x + 3 page 2

3 8. Simplify: a 3 (4a 3a 2 ) 8. A 4a 3 3a 5 B 4a 3 3a 6 C 4a 4 3a 5 D 4a 4 3a 6 9. Multiply: 2m 4 (5m 3 + 4m 1) 9. A 11m 8 B 10m 7 + 8m 5 2m 4 C 32m m 4 2m 4 D 10m 7 + 8m Simplify: 2k 3 ( 4k 2 + 5k + 2) 10. A 6k 6 + 3k 3 B 6k 5 + 3k 4 C 8k 6 10k 3 4k 3 D 8k 5 10k 4 4k Simplify: (2x 3)(5x + 1) 11. A 7x 2 2 B 7x 2 15x 2 C 10x 2 + 2x 3 D 10x 2 13x 3 page 3

4 12. Simplify: (8x 1)(4x + 3) 12. A 12x 2 4x + 2 B 32x x 3 C 32x 2 4x 3 D 32x x Simplify: (p 5) A p p + 25 B p 2 + 5p + 10 C p 2 10p + 25 D p 2 5p Simplify: (4x 3)(x 3 x 2 + 3x 7) 14. A 4x 4 7x x 2 37x + 21 B 4x 4 x x 2 19x 10 C 4x 3 + 5x 2 2x + x 7 D 4x x 2 + x 2 9x Multiply: (x 2 + 2x + 3)(x 2 2x 1) 15. A x 4 + 2x 2 3 B x 4 2x 2 8x 3 C 2x 2 4x 3 D 2x page 4

5 16. Multiply: (x 2 2x 3)(x 2 + 3x + 4) 16. A x 4 + x 3 5x 2 17x 12 B x 4 + x 3 5x x 12 C x 4 x 3 + 5x x 12 D x 4 x 3 5x x Factor: 9x A (3x + 4)(3x + 4) B (3x + 4)(3x 4) C (3x + 2)(3x + 8) D (3x 4)(3x 4) 18. Factor: 100 w A (w + 10)(w 10) B 1(10 + w)(10 w) C (w + 10)(w + 10)( 1) D (10 w)(10 + w) page 5

6 19. Factor: 16y A 4(y 2)(y + 2) B 16(y 4) 2 C 16(y 2)(y + 2) D 16(y 4)(y + 1) 20. Factor: x 2 + 7x A (x + 4)(x + 3) B (x + 12)(x + 1) C (x + 7)(x + 5) D (x 4)(x 3) 21. Factor: x 2 4x A (x + 6)(x 2) B (x + 2)(x 6) C (x + 7)(x 3) D (x 4)(x + 3) 22. Factor: r 2 + 6r A (r 12)(r 6) B (r + 12)(r 6) C (r 9)(r + 8) D (r + 12)(r + 6) page 6

7 23. Factor: s 2 5s A (s 12)(s + 7) B (s + 6)(s 14) C (s 12)(s 7) D (s + 12)(s 7) 24. Factor: b 2 12b A (b 6)(b 6) B (b 6)(b + 6) C (b + 6)(b + 6) D (b + 4)(b 9) 25. Factor: 2p 2 + p A (2p 3)(p + 2) B (2p + 3)(p 2) C (2p + 1)(p 6) D (2p 1)(p + 6) 26. Factor: 3q 2 + q A (3q 1)(q 1) B (3q + 1)(q 1) C (3q 2)(q + 1) D (3q 1)(q 1) page 7

8 27. Factor: 4x 2 x A (2x 3)(2x + 1) B (2x + 3)(2x 1) C (4x 3)(x + 1) D (4x + 3)(x 1) 28. Factor: 5x x A (5x 2)(x 4) B (5x 4)(x 2) C (5x + 8)(x + 1) D (5x + 4)(x + 2) 29. Factor: 3x 2 13x A (3x 5)(x + 2) B (3x + 2)(x 5) C (3x 2)(x + 5) D (3x + 10)(x + 1) page 8

9 30. Which of the following equations could be used to solve this problem? 30. The product of two consecutive integers is 132. A n + (n + 1) = 132 B n + (n + 2) = 132 C n(n + 1) = 132 D n(n + 2) = Solve this equation, show your work, and choose the best answer: 5x + 8 = A x = 2 B x = C x = 5 D x = For what value of x will 3x + 4 = x 6 be a true statement? 32. A x = 5 B x = 5 2 C x = 1 D x = Solve: 4(6x 10) = 8x A 0 B 5 2 C 25 8 D 5 page 9

10 34. Which value for x makes the number sentence true? 34. 3x + 10 = 19 A 3 B 6 C 9 D What is the solution to the equation? x 2 = 28 4x A x = 0 B x = 2 7 C x = 4 D x = What is the solution to the equation below? 36. 3(x 4) = 5x 6 A x = 3 B x = 3 4 C x = 1 D x = Solve: 5 4 n + 5 = page 10

11 38. What does x equal in this equation? x = If 4 + 2(3x 4) = 8, then 3x 4 equals 39. A 4. B 2. C 8. D What is the solution to the inequality below? x > 5(x 2) A x > 2 7 B x < 2 7 C x > 10 7 D x < Which is the solution to the inequality? 41. 2x 3 4x + 2 A x 1 2 B x 1 2 C x 5 6 D x 5 6 page 11

12 42. Solve: 10 > 4x A x < 3 B x > 3 C x < 2 D x > Which of the following numbers is a solution for the inequality shown below? 43. 7(2x 3) > 49 A 10 B 5 C 0 D Which of the following is the solution to the inequality below? 44. 4x 7 < 5 A x > 1 2 B x < 1 2 C x > 3 D x < 3 page 12

13 45. What is the parent function of this graph? 45. A y = x 2 B y = x 2 C y = x D y = x Which function corresponds to all of the values in the table? 46. x f(x) A y = x + 5 B y = x + 5 C y = 2x 5 D y = 2x 5 page 13

14 47. Which function corresponds to the ordered pairs in the table? 47. x y A f(x) = 3x 2 B f(x) = 3x C f(x) = 3x 1 D f(x) = 3x The graph could be used to find the roots of which of the following equations? 48. A 2x + 4 = 0 B 2x + 3 = 0 C 3x + 6 = 0 D 3x + 2 = 0 page 14

15 49. If f(x) = 2x 2, write f(x 2) as a polynomial without parentheses. 49. A 2x 2 8x + 8 B 2x 2 8x + 12 C 2x 2 8x 8 D 2x 2 8x If f(x) = 3x 2, then f(x 3) is equivalent to: 50. A 3x 2 9x + 9 B 3x 2 18x 27 C 3x 2 18x + 27 D 3x 2 9x + 18 page 15