2003 Algebra II

1. What property is illustrated by the equation 3x(x+2) = 3X 2 + 6x? Associative property of addition 2.Reflexive property of equality 3.Associative property of multiplication 4.Distributive property

2. Which of the following statements is an example of the transitive property of inequalities? F 2.G 3.H 4.J

3. Which expression is equal to A 2.B 3.C 4.D

4.Which is equivalent to F 2.G 3.H 4.J

5. Which is equivalent to A 2.B 3.C 4.D

6. Which is equivalent to F 2.G 3.H 4.J

7. Which is a factored form of 9x 2 – 25? A 2.B 3.C 4.D

8. Which is a factor of x 2 – 2x – 15? (x - 3) 2. (x - 15) 3. (x + 3) 4. (x + 5)

9. Which is equivalent to (3+2i)(2+5i)? i i k i

10. Which is equivalent to i 2.-3i i

11. Which type of function is shown? Absolute value 2.Exponential 3.Linear 4.Quadratic

12. Which function includes the values in the table? Y= x-1 2.Y= x+1 3.Y= x Y= (x-1) 2

13. Which function is most closely represented by the graph? A 2.B 3.C 4.D

14 What is the zero of the function / /4

15 If the domain of f(x) = 3x + 5 is {-1,0,1,2,3}, what is the range? {0,2,9,11,14} 2.{-8,-5,-2,1,4} 3.{-4,-2,-1,5,-8} 4.{2,5,8,11,14}

16 The polynomial function y= x 3 - 3x 2 + x + 1 has a zero between and and and and 4

17. If a,b,c,d, and g are real numbers and a >0, which equation could be represented by this curve? Y = ax +b 2.Y = ax 2 + bx +c 3.Y = ax 3 +bx 2 +cx +d 4.Y = ax 4 + bx 3 +cy 2 +dx+g

18. What is the value of

19. If a n = 1 + 1/n, then what is a 9 ? / /9 3.9/8 4.3/2

20. In which of the following is z directly proportional to x and inversely proportional to the square of y? F 2.G 3.H 4.J

21. The time required to c complete a job varies inversely as the number of people working. It took 4 hours for 7 electricians to wire a building. How long would it have taken 3 electricians to have done the job? hr 43 min 2.5 hr 15 min 3.7 hr 30 min 4.9 hr 20 min

22. Which apparently is a graph of a quadratic function that has no real zeros? F 2.G 3.H 4.J

23. Which graph shows the solution set for l3x-2l=6? A 2.B 3.C 4.D

24. Which inequality describes the solution set graphed above? F 2.G 3.H 4.J

25. What are the solutions to x 2 -12x+16 =0? A 2.B 3.C 4.D

26. What is apparently the graph of y=l4xl? F 2.G 3.H 4.J

27. This is a graph of a rational function, f. which is not a solution of the equation f(x)=0?

28. Which is the solution set for 3x 2 – 4x -15 = 0? F 2.G 3.H 4.J

29. What is the solution set for A 2.B 3.C 4.D

30. For which value of x does /3 3.13/3 4.8

31. The length, s, (in feet) of the skid mark left by an automobile traveling at r miles per hour can be approximated by the relation r= At the scene of an accident, police measured a skid mark of 361 feet. About how many miles per hour was the car traveling when the brakes were applied? mph 2.54 mph 3.76 mph 4.85 mph

32.Which function of x would have x-intercepts -1/2 and 3? Y = 2x 2 - 5x Y = x 2 - x Y = 2x 2 + 5x Y = 2x 2 + 7x + 3

33. Which set contains 3 apparent zeros of the polynomial function shown? {-2.5,-1,3} 2.{-3,-2,5} 3.{-3,1,2.5} 4.{-3,-1,3}

34. If f(x) is a polynomial with only factors x, (x+2), and (x-4), what is the solution set of f(x) =0? {0,2,4} 2.{-4,0,2} 3.{-2,0,4} 4.{-4,-2,0}

35. When graphed, which of the following equations would produce a circle? x 2 – y 2 = 9 2.x + y = 9 3.y = x x 2 +y 2 = 9

36. Which describes the graph of An ellipse 2.A hyperbola 3.A parabola 4.A circle

37.Which could be the graph of y - 2 = ½(x+3) 2 ? A 2.B 3.C 4.D

38. Buy-Rite electronics has 3 locations each selling 3 different models of Convair radios. Matrix A shows the inventory of each model at each location. Matrix B shows the cost of each model. For each location, which shows the total value of the inventory of all 3 models? F 2.G 3.H 4.J

39. Which product is not possible? Q x R 2.Q x T 3.R x Q 4.R x R

40. Which matrix equation is equivalent to the system of equations? F 2.G 3.H 4.J

41. What is the multiplicative inverse of the matrix A 2.B 3.C 4.D

42. Tim makes posters on his computer. He gets $5 for each regular size and $8 for each large poster. To use linear programming to maximize income. Tim developed this feasible region from the set of constraints on his resources, where x = number of regular size posters and y = number of large posters. How many of each size poster should Tim make in order to bring in the greatest amount of money? regular, 14 large 2.8 regular, 12 large 3.12 regular, 8 large 4.18 regular, 2 large

43. Which system of inequalities best represents the graph shown? A 2.B 3.C 4.D

44. This is a portion of the graph of a system of equations. Which is most likely the solution set for the system? F 2.G 3.H 4.J

45. What is the solution set for this system of equations? A 2.B 3.C 4.D

46. The chart gives the average number of students per computer in public schools in America. Assuming a linear relationship, which is the best estimate for the number of students per computer during ?

47. The chart shows city real estate taxes paid by four families and the assessed value of their homes. The tax on the Miller home was $1,700. what was the assessed value? $60,000 2.$65,000 3.$68,000 4.$70,000

48. Which is most likely the equation for the curve of best fit for the scatterplot? F 2.G 3.H 4.J

49. Which type of function would best fit the data in this scatterplot? Linear 2.Exponential 3.Logarithmic 4.Quadratic

50. Which equation most closely fits the data in this scatterplot? F 2.G 3.H 4.J