Question 1

Simplify
9log9(7)

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A.

9

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B.

97

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C.

1

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D.

7

Question 2

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.
f(x) = -x2 - 2x - 6

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A.

maximum;

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B.

minimum;

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C.

minimum;

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D.

maximum;

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734193_1/xid-3734193_1

Question 3

Add.
(-9 + 3n6 + 3n5) + (2n6 + 5n5 + 6)

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A.

10n11

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B.

-7n6 + 8n5 + 9

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C.

5 + 8n6 - 3n5

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D.

5n6 + 8n5 - 3

 

 

Question 4

Find the zeros of the polynomial function.
f(x) = x3 + 4x2 - 9x - 36

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A.

x = -4, x = 9

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B.

x = -3, x = 3

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C.

x = -4, x = -3, x = 3

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D.

x = 4, x = -3, x = 3

Question 5

Factor.
y2 - 64

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A.

(y + 8)(y - 8)

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B.

(y - 8)(y - 8)

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C.

(y + 64)(y - 64)

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D.

(y2 + 8)(y2 - 8)

Question 6

Convert to an exponential equation
log9 1⁄81= -2

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A.

29 = 1⁄81

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B.

9-2 = 1⁄81

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C.

981 = 2

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D.

1⁄812 = 9

 

 

 

Question 7

Solve and check the linear equation.
0.40x - 0.20(50 + x) = -0.04(50)

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A.

{20}

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B.

{50}

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C.

{40}

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D.

{30}

Question 8

Solve and check the linear equation.
9x - (7x - 1) = 2

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A.

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B.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734478_1/xid-3734478_1

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C.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734481_1/xid-3734481_1

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D.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734482_1/xid-3734482_1

Question 9

Write in logarithmic form
43 = 64

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A.

3 = log 64 4

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B.

3 = log 4 64

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C.

64 = log 4 3

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D.

4 = log 3 64

 

Question 10

Find the degree of the polynomial function.
g(x) = -7x3 + 9

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A.

4

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B.

-7

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C.

3

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D.

0

Question 11

Find the zeros of the polynomial function.
f(x) = x3 + x2 - 42x

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A.

x = - 7, x = 6

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B.

x = 0, x = - 7, x = 6

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C.

x = 0, x = 5, x = 6

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D.

x = 5, x = 6

Question 12

Solve the equation by factoring.
3x(x - 5) = 7x2 - 16x

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A.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734430_1/xid-3734430_1

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B.

{0, 4}

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C.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734429_1/xid-3734429_1

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D.

{0}

 

 

Question 13

Find the slope of the line that goes through the given points.
(-3, -7), (9, -7)

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A.

4

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B.

-4

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C.

1

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D.

0

Question 14

Determine whether the equation defines y as a function of x.
x + y = 9

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A.

y is not a function of x

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B.

y is a function of x

Question 15

Simplify
log6 1⁄36

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A.

-2

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B.

2

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C.

-6

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D.

6

 

 

 

 

 

Question 16

Find the slope of the line that goes through the given points.
(-1, 4), (5, 4)

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A.

2

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B.

Undefined

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C.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734726_1/xid-3734726_1

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D.

0

Question 17

Simplify
log2 25

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A.

5

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B.

32

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C.

2

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D.

10

Question 18

Find the vertical asymptotes, if any, of the graph of the rational function.

https://content.grantham.edu/at/MA105/final_15.jpg

[removed]

A.

x = 4

[removed]

B.

x = 4, x = -4

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C.

no vertical asymptote

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D.

x = 4, x = -4, x = 0

 

Question 19

Evaluate the function at the given value of the independent variable and simplify.
f(x) = x2 - 1; f(x - 2)

[removed]

A.

x2 - 4x + 3

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B.

x2 - 3

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C.

x2 + 4

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D.

x2 - 4x + 4

Question 20

Multiply.
4(5x)

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A.

20

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B.

9x

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C.

20x

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D.

9

Question 21

Subtract.
(8n7 + 2n6 + 17) - (5n6 + 5n7 + 15)

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A.

3n7 - 3n6 + 32

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B.

3n7 - 3n6 + 2

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C.

2n13

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D.

3n7 + 7n6 + 32

 

 

 

Question 22

Solve the equation by factoring.
x2 = x + 6

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A.

{1, 6}

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B.

{-2, 3}

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C.

{-2, -3}

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D.

{2, 3}

Question 23

Determine whether the relation is a function.
{(-5, -4), (-2, 9), (-1, -2), (-1, 7)}

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A.

Function

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B.

Not a function

Question 24

Multiply.
-8x2(-10x4 + 9x3)

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A.

80x6 + 9x3

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B.

80x6 - 72x5

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C.

8x6 + 8x5

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D.

8x2

Question 25

Solve and check the linear equation.
6[-6x + 6 + 4(x + 1)] = 6x + 2

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A.

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B.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734448_1/xid-3734448_1

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C.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734449_1/xid-3734449_1

[removed]

D.

https://lms.grantham.edu/bbcswebdav/pid-1332148-dt-content-rid-3734446_1/xid-3734446_1

 

 

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