# MTH 209 Week 5 Final Exam

MTH 209 Week 5 Final Exam

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209 Final Exam

The material presented below is not meant to be a comprehensive list of all you need to know in the content area. Rather it is a starting point for building your knowledge and skills. Additional study materials are recommended in each area below to help you master the material.

1.

Select the difference of (8×2 – 7×3) – (2×2 – 9×3).

8×6

8×5

6×2 – 16×3

6×2 + 2×3

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

2.

Simplify the following expression. 2(8x + 3)

16x + 6

16x + 3

22x

10x + 5

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

3.

Select the product of (7x – 4)(7x + 7).

49×2 – 21x – 28

70x – 28

49×2 + 21x – 28

14x + 3

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

4.

Simplify the following expression. (x + 8)3

512×3

x3 + 512

x3 + 24×2 + 192x + 512

x3 + 24

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

5.

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

9×2 – 81

9×2 – 54x – 81

6×2

6x

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

6.

Select the product of (8x + 5)(x2 – 5x + 2).

8×3 – 35×2 – 9x + 10

13×2 – 65x + 26

8×3 – 45×2 – 41x + 10

x2 + 3x + 7

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

7.

Select the product of (-6x9y)(x5y2).

6x14y3

-6x14y3

-6x45y2

6x45y2

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

8.

Select the product of (5x – 1)(5x – 1).

25×2 + 1

25×2 + 10x + 1

25×2 – 1

25×2 – 10x + 1

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

9.

Select the product of .

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 1A

10.

Select the difference of .

Correct!

Need help with this exercise? Review the following reading assignment.

Alg B Daily Practice 1A

11.

Factor the expression. x2 + 11x + 24

(x + 1)(x + 24)

(x + 3)(x + 8)

(x – 3)(x – 8)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

12.

Factor the expression. x2 – 22x + 40

(x – 2)(x – 20)

(x – 10)(x – 4)

(x – 10)(x + 4)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

13.

Factor the expression. x2 – 51x + 144

(x – 12)2

(x – 9)(x – 16)

(x – 3)(x – 48)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

14.

Factor the expression. 15×2 + 43x + 30

(3x – 5)(5x – 6)

(3x + 5)(5x + 6)

(15x + 6)(x + 5)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

15.

Factor the expression. 45×2 + 30x + 5

5(3x – 1)(3x – 1)

5(3x + 1)(3x + 1)

(45x + 1)(x + 5)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

16.

Factor the expression. -25×2 – 35x – 12

-(5x – 4)(5x + 3)

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

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

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

17.

Factor the expression. x2 + 2x + 24

(x + 1)(x + 24)

(x + 8)2

(x + 8)(x + 3)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

18.

Factor the expression. 64×2 – 9

(8x + 3)(8x – 3)

(8x + 3)2

(8x – 3)2

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

19.

Factor the expression. y2 + 14xy + 49×2

(y – 7x)²

(y + 7x)²

(y + 7x)(y – 7x)

Prime Polynomial

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2A

20.

Factor the expression.

Prime Polynomial

Correct!

Need help with this exercise? Review the following reading assignment.

21.

Simplify the following rational expression.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3B

22.

Select the product.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3B

23.

Select the quotient:

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3B

24.

Select the difference.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3B

25.

Select the sum:

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3B

26.

Select the value of that is a solution for this equation:

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3C

27.

An object 7.8 feet tall casts a shadow that is 23.4 feet long. How long in feet would the shadow be for an object which is 17.4 feet tall?

1.8 feet

5.8 feet

33 feet

52.2 feet

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 3C

28.

Simplify the expression:

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2B

29.

Simplify the expression. (7 – ) + 4

10

11 – 2

7 + 6

4 + 7

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2B

30.

Simplify the expression:

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 2B

31.

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

{-7, -9}

{7, -9}

{-7, 9}

{7, 9}

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4A

32.

Consider the equations:

and

Select the solution for .

Correct!

Need help with this exercise? Review the following reading assignment.

33.

Consider the equations:

and

Select the solution for .

Correct!

Need help with this exercise? Review the following reading assignment.

34.

Select the x-coordinate of the vertex of the parabola defined by the function f(x) = -7×2 + 9x + 1.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4B

35.

Determine the equation of g(x) that results from translating the function f(x) = x2 + 5 upward 13 units.

g(x) = (x + 18)2

g(x) = (x + 13)2 + 5

g(x) = x2 – 8

g(x) = x2 + 18

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4B

36.

Determine the equation of g(x) that results from translating the function f(x) = (x + 8)2 to the right 12 units.

g(x) = (x – 4)2

g(x) = (x + 20)2

g(x) = (x + 8)2 – 12

g(x) = (x + 8)2 + 12

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4B

37.

Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -8×2 + 9x + 7.

{–1.14, 1.29}

{-8, 9}

{–1.13, –0.88}

{–0.53, 1.65}

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4C

38.

Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -2×2 + 3x + 9.

{3.00, –1.50}

{-2, 3}

{–1.50, –4.50}

{–0.22, 0.33}

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4C

39.

Select the approximate values of x that are solutions to f(x) = 0, where

f(x) = -3×2 + 7x + 8.

{–0.84, 3.17}

{-3, 7}

{–2.33, –2.67}

{–0.38, 0.88}

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 4C

40.

Solve for x in the equation x2 – 10x + 16 = 0.

{2, 8}

{-2, 8}

{2, -8}

{-2, -8}

Correct!

Need help with this exercise? Review the following reading assignment.

41.

Given the function , find its inverse.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 5B

42.

Simplify the logarithm . Select the correct solution.

Correct!

Need help with this exercise? Review the following reading assignment.

43.

Select the first five terms in the arithmetic sequence an = 2n, starting with n = 1.

{, , , , }

{1, 2, 3, 4, 5}

{3, 4, 5, 6, 7}

{2, 4, 6, 8, 10}

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 8C

44.

Select the first five terms in the geometric sequence , starting with .

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 8C

45.

Select the sum of the series.

Correct!

Need help with this exercise? Review the following daily practice assignment.

Alg B Daily Practice 8C