Algebra II Practice Test - Broken Arrow Public Schools

1 Algebra II Practice Test Objective: 1. Which is equivalent to 3249? A 21 B 98 C 294 D 343 2. Which expression is another way to write 34125x? A 345x B 435x C 3425x D 4325x 3. If x and y are real numbers, what is the simplified radical form of 1255xy? A 52yx B 5yx C 52yx D 5yx Objective 4. What is the simplified expression of86364xx? A 3x B 9x C 23x D 29x 5. What is the simplified form of 2 5 35 1 ? A 53 B 57 C 2 5 3 D 2 5 7 6. What is the sum of 311 and 3 252 27? A 221 B 730 C 233 D 1190 7. The area of a square is 2 2 3 . What is the length of a side of the square? A 21 B 21 C 2 2 1 D 2 2 1 Objective 8. Which expression represents the quotient? 6 44 22844x zx zxz A 4 322x zx z B 3 42 22x zx z C 4 3243x zx z D 3 42 243x zx z 9. Which expression represents the quotient? 2226341288x yxyxyx y A 53x B 53x C 63x D 63x 10.

2 Which expression represents the quotient? 2432(4)yyy A 8y B 8y C 4y D 4y 11. A rectangular prism has a volume of 328142xxx and a height of 21x . Which expression represents the area of the base of the prism? A 2452xx B 2452xx C 2494xx D 2495xx objective 12. What is the completely simplified equivalent of 221269xxxx ? A 34xx B 43xx C 2253xx D 22721xx 13. Which expression represents the result of this subtraction 31221xxxx ? A 213x B 2212xxx C 23453xx D 222452xxxx 14. What is the simplified equivalent of 123xx ? A 132x B 233xxx C 2553xxx D 2573xxx objective 15. Which expression is equivalent to 34i? A 12i B 12i C 64i D 64i 16. A circuit has a current of (8 + 7i) amps, and another circuit has a current of (5 3i) amps. What is the difference between the currents of the two circuits? A (3 4i) amps B (3 + 4i) amps C (3 10i) amps D (3 + 10i) amps 17. Which expression is equivalent to 643 ?

3 A 2 6 3 2 B 24 6 3i C 2 6 3 2i D 2 6 3 2i 18. What is the product of 2 3 and 5 4ii ? A 2 23i B 27i C 22 23i D 22 7i 19. What is the completely simplified equivalent of 25i ? A 512i B 512i C 513i D 513i objective 20. What is the parent graph of the following function and what transformations have taken place on it: 23yx ? A The parent graph is2yx , which is shifted 3 units up. B The parent graph is2yx , which is shifted 3 units down. C The parent graph is2yx , which is shifted 3 units to the left. D The parent graph is2yx , which is shifted 3 units to the right. 21. What is the parent function of this graph? A 2f xx B 4f xx C 2f xx D 4f xx objective 22. If2( ) 32 and ( ) 42f xxg xx , what is the value of 1fg ? A 7 B 1 C 1 D 7 23. If2( )1 and ( )1f xxg xx , what is the value of fxg ? A 1x B 1x C 11x D 11x 24.

4 If1( ) and ( )22f xxg x , which graph corresponds to the function of fg x? A line R B line S C line T D line U Objective 25. If2( ) 27 and ( ) 31f xxg xx , what expression represents( ( ( ))f g x? A 265x B 2612x C 2328xx D 2326xx 26. If 21f g xx , how might fx and gx be defined? A 1 and 21f xxg xx B 1 and 21f xxg xx C 21 and 1f xxg xx D 21 and 1f xxg xx Objective 27. Which statement is true for the function1()4fxx ? A 4 is not in the range of the function. B 4 is not in the domain of the function. C -4 is not in the range of the function. D -4 is not in the domain of the function. 28. What is the domain of the function 2528xfxxx ? A :0xx B :5xx C :2, 4xx D :2, 4xx 29. Which intervals correctly define the domain of 124fxx ? A , 4 and 4, B , 4 and 4, C , 4 and 4, D , 4 and 2, 30.)

5 Domain: 0,2x xx Range: 33yy Which graph corresponds to the given constraints? A B C D 31. Which function has the fewest domain restrictions for real numbers? A 11fxx B 11fxx C 211fxx D 211fxx Objective 32. What is the inverse of 1f xx ? A 11fxx B 11fxx C 111fxx D 111fxx 33. What is the inverse of the function 24f xx ? A 14fxx B 1214fxx C 14fxx D 214fxx 34. Which graph represents the inverse of 2f xx ? A B C D 35. Which statement about graphs and their inverse is true? A They are symmetric aboutyx . B They are symmetric about the origin. C They are symmetric about the x-axis. D They are symmetric about the y-axis. Objective 36. Profits, P, are equal to sales, S, minus expenses, E. If expenses are equal to travel, T, plus materials, M, which system of equations models this situation? A P S EE T M B P S EE T M C P S EE T M D P S EE T M 37.

6 Tyrone wants to spend at most $10,000 on two televisions, R and S. Each television must cost at least $3,000, and television R must cost at least twice as much as television S. Which system of inequalities models the amount of money spent on each television? A 10, 00023, 0003, 000 RSRSRS B 10, 00023, 0003, 000 RSSRRS C 10, 00023, 0003, 000 RSRSRS D 10, 00023, 0003, 000 RSSRRS 38. Meredith invests $50,000 in her new business. It costs the company $10 to produce each unit, which is sold for $15. Let C represent the cost and R represent the revenue for x units. Which statement is true about the graphs of the equations50, 000 10 and 15 CxRx ? A Both slopes are positive. B Both slopes are negative. C One slope is positive, and the other is zero. D one slope is negative, and the other is positive. Objective 39. Which quadrants contain the solutions to this system of inequalities? 2334yxyx A quadrants I and IV B quadrants II and III C quadrants III and IV D quadrants II, III, and IV 40.

7 What is the solution to this system of equations? 35 0234 0xyxy A 1,2xy B 1,2xy C 2,1xy D 2,1xy 41. The corners of a triangle are (2,1), (4,4), and (6,2). Which system of inequalities describes the interior of the triangle? A423218yxyxyx B 422348yxyxyx C22348yxyxyx D 23218yxyxyx Objective 42. What is the solution set of this system of equations? 21010xyxy A 1, 1 ,1, 0 B 1, 0 ,1,1 C 1, 0 , 0,1 D 1, 0 , 1,1 43. What is the solution set of this system of equations? 23731 0yxxy A 2, 5 , 5, 2 B 2, 5 , 5,8 C 5,8 , 8, 5 D 8, 5 , 8,8 44. What is the solution set of this system of equations? 22322xyxy A 1, 4 ,1, 4 B 1, 4 , 1, 4 C 1, 4 , 1, 4 D 1, 4 , 1, 4 Objective 45. How many real roots does the function given by the graph have? A 0 real roots B 1 real root C 2 real roots D 4 real roots 46.

8 What number is added to both sides of the equation 283 0xx to solve it by completing the square? A -16 B 16 C -64 D 64 47. What is the solution of 253 0xx ? A 5132 B 5372 C 5132 D 5372 Objective 48. What is the y-intercept of 2321f xxx ? A (0, -1) B (0, 1) C (-1, 0) D (1, 0) 49. What are the coordinates at the minimum point of 243f xxx ? A (-1, -2) B (-1, 2) C (2, -1) D (2, 1) 50. Which function represents this graph? A 2124f xx B 2124f xx C 242f xx D 242f xx 51. Which statement best describes these two functions? 226335f xxxg xxx A They have no common points. B They have the same x-intercepts. C The maximum of f(x) is the same as the minimum of g(x). D The maximum of g(x) is the same as the minimum of f(x). 52. Which statement best describes these two functions? 224337f xxxg xxx A The maximum of f(x) is less than the minimum of g(x).

9 B The minimum of f(x) is less than the maximum of g(x). C The maximum of f(x) is greater than the minimum of g(x). D The minimum of f(x) is greater than the maximum of g(x). Objective 53. The length of a rectangular swimming pool is 20 feet greater than the width. The surface area of the pool is 1,500 square feet. What are the length and width of the pool? A length = 20 ft, width =20 ft B length = 50 ft, width =30 ft C length = 60 ft, width =40 ft D length = 150 ft, width =10 ft 54. The profit, P, (in dollars) for Ace Car Rental is given , where x is the number of cars rented. How many cars have to be rented for the company to maximize profits? A 500 cars B 1,000 cars C 12,500 cars D 25,000 cars 55. The revenue, R, at a bowing alley is given by the equation 212, 400800 Rxx , where x is the number of frames bowled. What is the maximum amount of revenue the bowling alley can generate? A $800 B $1,200 C $1,800 D $2,400 Objective 56.

10 Which best describes the graph of 2215025xy ? A circle B ellipse C parabola D hyperbola 57. What is the equation of a circle with center (-4, 2) and diameter 6? A 224(2)6xy B 224(2)6xy C 224(2)9xy D 224(2)9xy 58. Which statement describes the equation268yxx ? A It is a vertical parabola. B It is a vertical hyperbola. C It is a horizontal parabola. D It is a horizontal hyperbola. 59. What is the equation of the given parabola? A 23yx B 233yx C 223yxx D 2363yxx 60. What is the equation of the graphed Hyperbola? A 2232144xy B 2223144yx C 2223122yx D 2223144yx 61. What is the vertex of the parabola 219yx ? A (-1, -9) B (1, -9) C (-9, -1) D (-9, 1) 62. What is the equation of the ellipse whose center is at the origin, major axis has length of 10 units along the x-axis, and minor axis has length of 6 units? 22221xyab A 221259xy B 221925xy C 22120 12xy D 22110036xy Objective 63.