Review test 1. C. 2 and 4. B. 2 and 4. D. 2 and 4. A. 8 and 0 B. 13 and 5 C. 0 D. 5

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1 1. What are all the values for u that will make the equation below true? 3u 9 = 3 A. 2 and 4 5. What are the coordinates of the point of intersection of the graphs of the equations below? 5x + y = 19 5x + y = 12 B. 2 and 4 C. 2 and 4 D. 2 and 4 2. What are all the possible roots for the equation 4 v = 26? A. 8 and 0 B. 13 and 5 C. 0 D Which expression is the solution of z + 6 5? A. z 1 B. 11 z C. 11 z or z 1 D. 11 z 1 4. Which expression is the solution of m 13 > 6? A. m < 7 B. m < 7 or m > 19 C. 7 < m < 19 D. m > 19 A. (10, 9) B. (19, 12) C. The lines are coincident. D. The lines do not intersect; they are parallel. 6. The sum of three different numbers is 223. The largest number is 13 more than the smallest number. The sum of the largest number and the smallest number is 7 more than twice the middle number. What is the largest of these numbers? A. 59 B. 69 C. 72 D Go On

2 7. The substitution method will be used to solve the system of equations below. { x + 2y = 7 2x 7y = 3 Which equation would lead to a correct solution with this method? A. (7 2y) + 2y = 7 B. (7 + 2y) + 2y = 7 C. 2(7 2y) 7y = 3 D. 2(7 + 2y) 7y = 3 8. The length of a rectangle can be represented by the expression 2x 1. The width of the same rectangle can be represented by the expression x 2 x + 3. Which of the following expressions can represent the area of the rectangle? A. x 2 + x + 2 B. 2x 3 2x 2 3 C. 2x 3 + x 2 + 5x + 3 D. 2x 3 3x 2 + 7x 3 9. What is the sum of ( 9x 4 + 6x 3 + 2x 5 + 6) and (3x 5 + 3x 4 + 7x 3 + 8)? A. 12x For all x 9, 5m m 2 14m + 36 m + 9 A. m 2 + 2m + 5 B. m 2 + 3m + 4 C. 5m 2 2m + 4 D. 5m 2 + 2m Jeremiah divided the two polynomials shown below. What is the quotient? A. 4x x + 2 B. 4x x + 2 C. 4x + 18 D. 4x When factored completely, 27x 3 8y 3 is equivalent to A. (3x 2y)(9x 2 6x y 4y 2 ) B. (3x 2y)(9x 2 + 6x y + 4y 2 ) C. (3x + 2y)(9x 2 6x y 4y 2 ) D. (3x + 2y)(9x 2 + 6x y + 4y 2 ) = B. 5x 5 6x x C. 5x 10 6x x D. 6x 5 27x x Go On

3 13. Which expression represents a complete factorization of 16y 4 81? A. (2y 3)(2y + 3)(4y 2 + 9) B. (2y 3)(2y 3)(4y 2 + 9) C. (4y 2 + 9)(4y 2 + 9) D. (4y 2 9)(4y 2 9) 15. What is the solution set for (x + 1) 2 4 = 0? A. { 5, 3} B. { 3, 1} C. { 3, 5} D. { 1, 3} 14. Which polynomial is equivalent to 15z 2 2z 8 when factored completely? A. (3z 2)(5z 4) B. (3z 2)(5z + 4) C. (3z + 2)(5z 4) D. (15z + 2)(z 4) 3 Go On

4 16. The graph of y = a(x b) 2 is pictured below. Which of the following could be the graph of y = a(x b) 2 + 3? A. C. B. D. 4 Go On

5 17. Which of the following quadratic equations has a graph with a minimum at ( 2, 5)? 19. What is the maximum of the quadratic function represented in the graph? A. y = x 2 4x + 9 B. y = x 2 + 4x + 9 C. y = x D. y = x The graph represents which of the following functions? A. (0, 4) and (0, 0) B. (0, 0) C. ( 2, 4) D. (0, 4) and (0, 0) A. f (x) = x 2 B. f (x) = x C. f (x) = 2x 2 D. f (x) = 2x Go On

6 20. Which graph describes f (x) = 3x 2 6x 4? A. C. B. D. 21. What is the value of x in the equation 4 = log 3 x? A. 12 B. 34 C. 64 D What is the value of log 5 125? A. 1 B. 3 C. 5 D Go On

7 23. What is the radical expression ( 4 6) 3 written in exponential form? A. 6 B. 6 1 C D The value of log 3 15 is equivalent to which of the following? A. 15log 3 B. 3log15 C. D. log 3 log15 log15 log What number is equal to ( 27) A. 9 B. 3 C. 3 D ? 25. What happens to the value of y as x increases in value in the equation y = 3 x? A. y approaches 0 B. y approaches 3 C. y approaches negative infinity D. y approaches positive infinity 27. Which of the following expressions is equivalent to 3log 2 + 4log 2? A. 12log 4 B. log 24 C. log 48 D. log Go On

8 28. Which is the BEST description of the graph of the equation x 2 + 2x = 4y 2? A. a parabola that passes through (0, 0) B. an ellipse centered at ( 1, 0) C. a parabola that passes through ( 2, 0) D. a hyperbola that passes through ( 2, 0) 29. The graph of the equation 16x 2 + 9y 2 32x + 18y 119 = 0 is which of the following conic sections? A. circle B. ellipse C. hyperbola D. parabola 30. The graph of the equation x 2 + y 2 + 8x 10y 40 = 0 is which of the following conic sections? 31. A club has 7 members. Elections are being held to fill the offices of president, vice president, and treasurer. Any of the 7 members can hold one office. How many possible ways can the offices be filled? A. 21 B. 35 C. 210 D There are 10 students in Mr. Romero s Spanish class. Only 4 students can go on a field trip because of space. If all students are eligible, how many different groups of 4 students are possible for the field trip? A. 40 B. 210 C D. 10,000 A. parabola B. hyperbola C. ellipse D. circle 8 Go On

9 33. Which graph BEST represents f (x) = 1 3 ( x + 5) 2? A. C. B. D. 9 Go On

10 34. Which graph describes f (x) = x 2 2x + 1? A. C. B. D. 10 Go On

11 35. Janene is solving the equation, log 3x 324 = 2, and does not have access to a log table. Which exponential equation can she use to solve her log equation? A = 3x B. 324 x = 2 3 C. (3x) 2 = 324 D. 3x 2 = Use the following approximations to answer the question : log log log Which number is the closest approximation of log14? A B C D Which expression is equivalent to 3log 4 + log 6 log 8? A. 3log 2 B. 3log 3 C. log 48 D. log Which value or values of x will make this algebraic equation true? x x x = x 1 2 A. x = 0 B. x = 1 C. x = 1, 2 D. x = {all real numbers} 11 Go On

12 39. Which is the BEST description of the graph of the equation x 2 + y 2 x = 0? A. a circle of radius 1 2 B. a parabola that passes through (0, 0) C. a parabola that passes through ( 1 2, 0 ) D. a pair of straight lines through the origin 12 Go On

13 40. Which graph BEST represents the equation 4x 2 + 4y x 16y + 37 = 0? A. C. B. D. 41. Which of the following is the equation of a hyperbola? A. 25x 2 + 4y 2 = 100 B. x 2 16 y2 81 = 1 C. y 2 36x = 0 D. (x 5) ( y + 5) 2 49 = 1 13 Go On

14 42. Debbie is making a salad. She can choose from 3 types of lettuce, 2 types of tomatoes, and 5 types of cheese. How many different salads can she make using 1 type of lettuce, 1 type of tomato, and 1 type of cheese? A. 6 B. 10 C. 25 D Which of the following represents the inverse f 1 (x) of f (x) = x 3 7? A. f 1 (x) = 7 x 3 B. f 1 (x) = 1 x 3 7 C. f 1 (x) = x D. f 1 3 (x) = x What is the sum of the integers 1 through 220 (including 220)? A. 23,980 B. 24,090 C. 24,200 D. 24, Given f (x) = (x + 2) and g(x) = (4 x) 2, what is ( f g)(x)? A. x 2 + x + 18 B. x 2 + 9x 14 C. x 2 + x + 18 D. x 2 9x What is the sum of the series ? A B. 1 C. 3 D Stop