1. Midterm Review Minute to Win It

2. 1. Rewrite the following expression in exponential form: 5 𝑥 9

3. 𝑥 9 5

4. 2. If 2 3 𝑥 =5, what is the value of x to the nearest tenth.

5. X=15.6

6. 3. The table below represents the function 𝑓 𝑥 =2 𝑥 2 +3
3. The table below represents the function 𝑓 𝑥 =2 𝑥 What is the value of f(x) when x= 3? x -1 1 2
F(x) 5 3 11

7. f(x)=21

8. 4. What is the solution to the following system of equations -4x-5y-x=18 -2x-5y-2z=12 -2x+5y+2z=4

9. (-4, 0, -2)

10. 5. Luke throws a soccer ball into the air
5. Luke throws a soccer ball into the air. The function ℎ 𝑡 =−16 𝑡 2 +45𝑡 can be used to determine the height in feet, h, of the ball after t seconds. What will the height of the ball after 2.5 seconds?

11. 12.5 feet

12. 6. Simplify 𝑖 25

13. i

14. 7. If f(x)= (3x+9)(x-1) what are the zeros of the polynomial?

15. x= -3 and x=1

16. 8. Factor the following equation 𝑦=125 𝑎 3 −8
8. Factor the following equation 𝑦=125 𝑎 3 −8 *Hint: difference of cubes

17. (5𝑎−2)(25 𝑎 2 +10𝑎+4)

18. Factor the following equation
𝑦=6 𝑥 2 +𝑥−2
*Hint bottoms up

19. (3x+2)(2x-1)

20. 10. Solve for x to nearest tenth 4 𝑥 3 =188

21. X=6.9

22. 11. Solve for x 3= 𝑥−8

23. X=17

24. 12. Use the graph to find x when f(x)=3.

25. X=2

26. 13. Use the given functions to find f(2) 𝑓 𝑥 =−5𝑥+2 𝑔 𝑥 = 𝑥−4 2

27. F(2)=8

28. 14. Simplify (4+2i)(7-i)

29. 30+10i

30. 15.Simplify the following expression 𝑥 2 −36 6𝑥−18 / 𝑥 2 +8𝑥+12 12

31. 2 𝑥−6 𝑥+2 𝑥−3

32. 16. Use the Quadratic Formula to find the zeros of the following polynomial. Nearest hundredth 𝑓 𝑥 =4 𝑥 2 +9𝑥−5

33. X=.46 and x=-2.71

34. 17. Is the following function even, odd or neither?
𝑦=3 𝑥 3 −5 𝑥 2 +𝑥−8

35. Neither

36. 18. Name the parent function and describe the transformations
𝑦=− 𝑥+3

37. Square root
Reflected over y
Left 3

38. 19. For the polynomial
f(x)=− 𝑥 7 −2 𝑥 3 +5𝑥−1
describe f(x) as x approaches ∞

39. Negative infinity

40. 20. Write the polynomial in factored form with the correct multiplicity

41. 𝑦=𝑎 𝑥+3 𝑥−2 2 (𝑥-5)

42. 21. Write an equation for the graph

43. y=lx-4l +1

44. 22. Find the inverse y= 𝑥−10

45. 𝑓 −1 = 𝑥 2 +10

46. 23. Solve the following system of equations
𝑦= 𝑥 2 −6𝑥+3
𝑦=2𝑥−13

47. (4,-5)

48. 24. Use synthetic division to divide
 3x3 – 2x2 + 3x – 4 by x – 3

49. 3 𝑥 2 +7𝑥 𝑥−3

50. 25. Name the parent function and describe the transformations
𝑦=2 𝑥−1 2 −5

51. Quadratic
Stretched by 2
Right 1
Down 5

52. 26. You are offered two different sales jobs
26. You are offered two different sales jobs. Company A offers a straight commission of 5% of the sales. Company B offers a salary of $510 per week plus 1% of the sales. How much would you need to sell in a week in order Company A’s offer to be at least as good as Company B’s offer?

53. P=.05s
P= s
$12,750 in sales

54. 27. Is the following function even, odd, or neither.

55. Odd

56. 28. Find the inverse for 𝑦= 𝑥 2 −7

57. 𝑓 −1 = 𝑥+7

58. 29. f(x)=2x-3 g(x)= 𝑥 2 +2
Find f(g(x))

59. 𝑓 𝑔 𝑥 =2 𝑥 2 +1

60. 30. f(x)=2x-3 g(x)= 𝑥 2 −3𝑥+2
Find f(g(-1))

61. f(g(-1))=9