Algebra II Midterm REVIEW Name______
12-13
1. Find the value of 3 + 4 [10 – (4+ 2)]
a. 28 b. -19 c. 19 d. -28
2. Find the graph of
a. b. c. d.
3. Simplify: 1/2(12x – 6) + 1/4(24x + 8)
a. 5 b. 12x-1 c. 12x+1 d. 1/2)(x+2)
4. Simplify: (3x + 2)²
a. 9x² - 4 b. 9x² - 6x + 4
c. 9x² - 12x + 4 d. 9x² + 12x + 4
5. If x²+ 6x + c is a perfect square trinomial, what is the value of c?
a. 3 b. 9 c. 36 d. 12 e. 4
6. Simplify:
a. 8 b. | 8| c. 8i d. -64i
Solve each equation:
7.
a. 4 b. -4 c. 1/4 d. -1/4
8. 16= 2|3x – 4|
a. 4, -4/3 b. 4/3, 4 c. 4, -4 d. 1
9. Find the graph of 2x – y < 3
a. b. c. d.
10. |2x – 4|≤ 10
a. x≤ 7 b. -3≤ x ≤ 7 c. -7≤ x ≤ 3 d. All real numbers
11. Find the graph of
a. b. c. d.
12. Determine how many real and imaginary solutions the equation
2x² + 3x - 8 = 0 has?
a. 2 real, no imaginary b. 1 real , no imaginary
c. 1 real, 1 imaginary d. no real, 2 imaginary
13. Solve: | x – 4| ≤ -8
a. All real numbers b. x = -4, -12
c. no solution d. x = -4, 12
14. Give the domain of h = { (-3, 4), (1, 5), (4, 5)} tell if h is a function.
a. { 4, 5}; h is a function b. { -3, 1, 4}; h is not a function
c. { -3, 1, 4}; h is a function d. { 4, 5}; h is not a function
15. If find g(-3).
a. 74 b. -74 c. -53 d. -53 e. 12
16. What type of polynomial function is ?
a. constant b. linear
c. quadratic d. cubic e. quartic
17.Find the slope and y-intercept of 4x+ 6y = 12?
a. , (0,-2) b. , (0,-2) c. , (0,2) d. , (0,2)
18.Find the graph of
a. b. c. d.
19. What is the x intercept of the line whose equation is
6x + 4y = 3?
a. -2 b. 1/2 c. 2 d.-1/2
20. Find the graph of
a. b. c. d.
21. What is the slope intercept form of the equation of a line that passes through (6, 1) and is perpendicular to the line whose equation is
y = 3x - 2?
a. b.
c. y = - d.
22. For which equation is the graph a vertical line?
a. x = 2 b. y = 4 c. x = y d. y = |x|
23. For which pair of equations are the lines parallel?
a. 4x + 2y = 8 and 8x + 16y = 4 b. x + 3y = 4 and x = 3y + 8
c. y = 1/4x + 2 and y = 4x + 1 d. y = 2x and y = -1/2 x
24. Find the graph of
a. b. c. d.
25. Subtract from
a. b.
c. d.
26. What is the vertex of the graph of y = 3(x – 2)² - 8 ?
a. ( 2,8) b. (3,-8) c. (-2, -8) d. (2, -8)
27. What is the correct factorization of 6x² - 5x – 4 ?
a. (3x - 4)(2x +1) b. ( 3x –1)(2x+ 4) c. (6x + 4)( x – 1)
d. ( 2x + 4)(3x – 1) e. ) (2x – 2)( 3x + 2)
28. What are the zeros of y = x² + 10x + 16 ?
a. -2, -8 b. -2, 8 c. 2, -8 d. 4, 8 e. 2, 8
29. You want to eliminate x by the addition method in the system:
3x – 4y = 5
-2x + 5y = 8 If you multiply each side of the top
equation by 2, by which number would you
multiply each side of the bottom equation?
a. 2 b. -2 c. 3 d. -3
31. What does d equal in the solution of the system : 2c + d = 5
c - d = 1
a. 1 b. -1 c. 2 ` d. -2
32. For which system are there infinitely many solutions?
a. 2x + 6y = 7 b. x – 2y = 8 c. 2x – y = 8
4x + 12y = 14 5x = -10y + 40 2x + y = -8
d. 3x - y = 4
y = 3x – 4
33. Simplify: ( 2 + i ) – ( 5 – 2i)
a. -3 – 3i b. -3 + 3i c. 3 – 3i d. 3 + 3i
35. Simplify :
a. b. c. d.
36. What are all the solutions of 5(x – 2)² - 4 = 21 ?
a. 4 b. 7 c. d. -2, -4 e.
37. Simplify :
a. b. c. d.
38. Factor : 9x² - 1 = 0
a. ( 3x – 1)² b. ( 3x – 1)( 3x + 1)
c. ( 3x + 1) ( 3x + 1) d. ( 3x – 1)( 3x - 1)
39. Factor: 3x² + 18x + 27 = 0
a. 3( x+3)² b. 3(x – 3)² c. ( 3x – 9)² d. (3x + 3)²
40. What does (x+3)(x-4)(x-1) equal?
a. b. c. d.
41. Find the product of ( -8 + 4i)(2 – i).
a. -12 + 16i b. -12 – 16i c. -20
d. 20 e. -20– 16i
42. is
a. rational b. irrational c. real d. imaginary
43. If = i, then i² = ______.
a. 1 b. -1 c. d.
44. Find the graph of
a. b. c. d.
45. What are the solutions of x² = 25 ?
a. 5 b. -1, -25 c. 5, -5 d. 0, 25
46. The graph of y = x is a
a. circle b. line c. parabola d. rectangle
47. Which polynomial has the factorization: ( 3x + 2) ( 9x² - 6x + 4)
a. 27x³ - 8 b. 9x³ - 4 c. 9x³ + 8 d. 27x³ + 8 e. 27x³ + 4
48. What is the quotient of ( 6x³ - 8x² - 2x – 3) ÷ ( x – 2) ?
a. 6x³ + 4x² + 6x + 9 b. 6x² + 4x + 6 + 9
c. 6x² + 4x + 6 + __ 9______d. 6x² + 4x + 6 + __9__
6x³ - 8x² - 2x – 3 x – 2
e. 6x² - 4x + 6 - __15__
X- 2
49. What are all the rational zeros of f(x) = x³ +2x² - 5x - 6
a. -2, -1, -3 b. 2, 3, 1 c. 2, -3, -1
d. -2, 1 ,3 e. -2, -3, 1
50. How many zeros does the function f(x) = -2x4 + 3x + 4 have ?
a. 0 b. 1 c. 2 d. 3 e.4
51. Which function is graphed?
a. F(x) = (x+2)(x – 3)(x – 1) b. f(x) = x(x-1)(x + 3)
c. f(x) = -x(x+2)(x-3) d. f(x) = x(x+1)(x+3)
52. Find the graph of
a. b. c. d.
53. Write the polynomial function with the solutions 4, -5i.
a. f(x) = (x - 4)(x + 5i)(x – 5i) b. f(x) = (x + 4)(x – 5i)(x + 5i)
c. f(x) = (x - 4)(x + 5i) d. f(x) = (x + 4)(x + 5i)
54. Solve:
a. b. c. d.
55. Describe the translation of the parent function to obtain the graph of .
a. Vertical shift -2, Horizontal shift -3, shrink 2, reflect over x-axis
b. Vertical shift -2, Horizontal shift -3, stretch 2, reflect over x-axis
c. Vertical shift -3, Horizontal shift 3, stretch 2, reflect over y-axis
d. Vertical shift 3, Horizontal shift -3, shrink 2, reflect over x-axis
56. Find the graph of .
a. b. c.. d.
On the back of your answer card show your work for each of the following questions and circle your answers.
57. Solve .
58. Write in vertex form.