09 FM

B. -2x12y7

C. -2x35y2

D. -2x35y2

8. Select the product of (3x - 1)(3x - 1).

A. 9x2 + 1

B. 9x2 + 6x + 1

C. 9x2 - 1

D. 9x2 - 6x + 1

9. Select the product of (3x + 7) * (7x – 3)

A. 21x² + 40x - 21

B. 10x² + 8x + 4

C. 10x² + 40x - 21

D. 21x² - 21

10. Select the Difference of (2x² - 13x +7) - (1 – 12x).

A. 2x² - 25x + 8

B. 2x² + x - 6

C. 2x² - x + 6

D. x² + 6

11. Factor the expression. x² + 8x + 15

A. (x + 1)(x + 15)

B. (x + 5)(x + 3)

C. (x - 5)(x - 3)

D. Prime Polynomial

12. Factor the expression. x² - 11x + 18

A. (x - 2)(x - 9)

B. (x - 6)(x - 3)

C. (x - 6)(x + 3)

D. Prime Polynomial

13. Factor the expression. x² - 52x + 100

A. (x - 10)²

B. (x - 1)(x - 100)

C. (x - 2)(x - 50)

D. Prime Polynomial

14. Factor the expression. 15x² + 41x + 28

A. (5x - 7)(3x - 4)

B. (5x + 7)(3x + 4)

C. (15x + 4)(x + 7)

D. Prime Polynomial

15. Factor the expression. 50x² + 45x + 10

A. 5(5x - 2)(2x - 1)

B. 5(5x + 2)(2x + 1)

C. (50x + 1)(x + 10)

D. Prime Polynomial

16. Factor the expression. -25x² - 35x - 12

A. -(5x - 4)(5x + 3)

B. -(5x + 4)(5x + 3)

C. (-5x + 4)(5x + 3)

D. Prime Polynomial

17. Factor the expression. x² + 2x + 56

A. (x + 1)(x + 56)

B. (x + 7)²

C. (x + 7)(x + 8)

D. Prime Polynomial

18. Factor the expression. 36x² - 49

A. (6x + 7)(6x - 7)

B. (6x + 7)²

C. (6x - 7)²

D. Prime Polynomial

19. Factor the expression. y² + 14xy + 49x²

A. (y - 7x)²

B. (y + 7x)²

C. (y + 7x)(y - 7x)

D. Prime Polynomial

20. Factor the expression. -216x³ + 1

A. (-6x + 1)(36x² + 6x + 1)

B. (-6x + 1)³

C. (-6x – 1)(36x² - 6x + 1)

D. Prime Polynomial

21. Simplify the following rational expression. x² - 25

x² -3x - 10

A. x + 5 / x + 2

B. 3.5x

C. 2.5x – 10

D. x² - 25

E. x² -3x - 10

22. Select the product.

A.

B.

C.

D.

23. Select the quotient.

A.

B.

C.

D.

24. Select the Difference.

A.

B.

C.

D. 0

25. Select the sum:

A.

B.

C.

D.

26. Select the value of that is a solution of this equation.

A. -3

B. 18

C. 6

D. 9

27. An object 7.2 feet tall casts a shadow that is 21.6 feet long. How long in feet would the shadow be for an object which is 18.9 feet tall?

A. 4.5 feet

B. 6.3 feet

C. 33.3 feet

D. 56.7 feet

28. Simplify the expression:

A. 5/4

B.

C.

D. 5/64

29. Simplify the expression.

A. 11

B. – 2

C. +16

D. + 3

30. Simplify the expression.

A. 5/57

B.

C.

D.

31. Solve for in the equation x² - 2x - 63 = 0.

A. {-7, -9}

B. {7, -9}

C. {-7, 9}

D. {7, 9}

32. Consider the equations: f (x) = -6x – 1 and g (x) = 4x². Select the solution for (f + g) (x).

A. -6x – 1 + 4x²

B. -24x³ - 4x²

C. -24x² - 1

D. -6x – 1 – 24x²

33. Consider the equations: f (x) = -6x – 1 and g (x) = 4x². Select the solution for (fg) (x).

A. -6x – 1 + 4x²

B. -24x³ - 4x²

C. -24x² - 1

D. -24x⁵

34. Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -9x2 + 5x +5.

A. -9/5

B. 5

C. 5/18

D. -5/9

35. Determine the equation of g(x) that results from translating the function f(x) = x² + 5 upward 6units.

A. g(x) = (x + 11)²

B. g(x) = (x + 6)² + 5

C. g(x) = x² - 1

D. g(x) = x² + 11

36. Determine the equation of g(x) that results from translating the function f(x) = (x + 8)² to the right 14units.

A. g(x) = (x - 6)²

B. g(x) = (x + 22)²

C. g(x) = (x + 8)² - 14

D. g(x) = (x + 8)² + 14

37. Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -9x² + 4x + 5.

A. {–1.80, 0.80}

B. {-9, 4}

C. {–0.44, –0.56}

D. {–0.56, 1.00}

38. Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -6x² + 3x + 3.

A. {1.00, –0.50}

B. {-6, 3}

C. {–0.50, –0.50}

D. {–2.00, 1.00}

39. Select the approximate values of x that are solutions to f(x) = 0, where f(x) = -7x² + 7x + 8.

A. {–0.68, 1.68}

B. {-7, 7}

C. {–1.00, –1.14}

D. {–0.88, 0.88}

40. Solve for x in the equation x² - 14x + 48 = 0.

A. {6, 8}

B. {-6, 8}

C. {6, -8}

D. {-6, -8}

41. Given the function f (x) = 9x + 7, find its inverse.

A.

B.

C.

D.

42. Simplify the logarithm log₂ (64). Select the correct solution.

A. 6

B. 64

C. 62

D. 32

43. Select the first five terms in the arithmetic sequence aₓ = 6x, starting with x =1.

A. {1/6, 1/12, 1/18, 1/24, 1/30}

B. {1, 2, 3, 4, 5}

C. {7, 8, 9, 10, 11}

D. {6, 12, 18, 24, 30}

44. Select the first five terms in the geometric sequence aₓ = (2)ᵡ⁻¹ , starting with ᵡ ˭ ¹

A. {2, 4, 8, 16, 64}

B. {1, 2, 4, 8, 16}

C. {1, 2, 4, 6, 8}

D. {2, 4, 6, 8, 10}

45. Select the sum of the series.

A. 55

B. 56

C. 200

D. 225