Quiz about Algebrar 2 Final Exam

Question 1

Perform the polynomial long division: $$\frac{x^3 - 6x^2 + 11x - 6}{x - 2}$$ .

Accepted Answer

$$x^2 - 4x + 3$$

Answer

$$x^2 - 4x + 5$$

Answer

$$x^2 - 3x + 2$$

Answer

$$x^2 - 3x + 1$$

Question 2

Factor the polynomial: $$x^2 - 5x + 6$$ .

Accepted Answer

$$(x - 2)(x - 3)$$

Answer

$$(x + 2)(x - 3)$$

Answer

$$(x - 1)(x - 6)$$

Answer

$$(x + 1)(x - 6)$$

Question 3

Identify the end behavior of the polynomial $$f(x) = -2x^4 + 3x^3 - x + 5$$ .

Accepted Answer

$$x\rightarrow\infty\ y\rightarrow-\infty$$ $$x\rightarrow-\infty\ y\rightarrow-\infty$$

Answer

$$x\rightarrow\infty\ y\rightarrow\infty$$ $$x\rightarrow-\infty y\rightarrow-\infty$$

Answer

$$x\rightarrow\infty\ y\rightarrow-\infty$$ $$x\rightarrow-\infty\ y\rightarrow\infty$$

Answer

$$x\rightarrow\infty\ y\rightarrow\infty$$ $$x\rightarrow-\infty\ y\rightarrow\infty$$

Question 4

Perform the polynomial long division: $$\frac{2x^3 + 3x^2 - 5x + 6}{x + 1}$$ .

Accepted Answer

$$2x^2+x-6\ +\frac{12}{x+1}$$

Answer

$$2x^2 + x - 7$$

Answer

$$2x^2 + x - 5$$

Answer

$$2x^2 + x - 4$$

Question 5

Factor the polynomial: $$x^2 + 7x + 12$$ .

Accepted Answer

$$(x + 3)(x + 4)$$

Answer

$$(x + 2)(x + 6)$$

Answer

$$(x + 1)(x + 12)$$

Answer

$$(x + 4)(x + 5)$$

Question 6

Perform the polynomial long division: $$\frac{x^3 + 2x^2 - x - 2}{x - 1}$$ .

Accepted Answer

$$x^2 + 3x + 2$$

Answer

$$x^2 + x + 1$$

Answer

$$x^2 + x + 2$$

Answer

$$x^2 + 3x + 1$$

Question 7

Factor the polynomial: $$x^2 - 9$$ .

Accepted Answer

$$(x - 3)(x + 3)$$

Answer

$$(x - 3)(x - 3)$$

Answer

$$(x + 3)(x + 3)$$

Answer

$$(x - 9)(x + 1)$$

Question 8

Identify the end behavior of the polynomial $$f(x) = -x^6 + 4x^4 - x^2 + 2$$ .

Accepted Answer

$$x\rightarrow\infty\ y\rightarrow-\infty$$ $$x\rightarrow-\infty\ y\rightarrow-\infty$$

Answer

$$x\rightarrow\infty\ y\rightarrow\infty$$ $$x\rightarrow-\infty\ y\rightarrow\infty$$

Question 9

Perform the polynomial long division: $$\frac{3x^3 - x^2 + 4x - 2}{x - 1}$$ .

Accepted Answer

$$3x^2+2x+6\ +\frac{4}{x-1}$$

Answer

$$3x^2 + 2x + 2$$

Answer

$$3x^2 + 2x + 4$$

Answer

$$3x^2 + 2x + 1$$

Question 10

Identify the end behavior of the polynomial $$f(x) = 5x^3 - 2x^2 + x - 1$$ .

Accepted Answer

$$x\rightarrow\infty\ y\rightarrow\infty$$ $$x\rightarrow-\infty\ y\rightarrow-\infty$$

Answer

$$x\rightarrow\infty\ y\rightarrow-\infty$$ $$x\rightarrow-\infty\ y\rightarrow\infty$$

Question 11

Factor the polynomial: $$x^2 + 2x - 8$$ .

Accepted Answer

$$(x + 4)(x - 2)$$

Answer

$$(x + 2)(x - 4)$$

Answer

$$(x + 1)(x - 8)$$

Answer

$$(x + 8)(x - 1)$$

Question 12

Identify the end behavior of the polynomial $$f(x) = -4x^5 + 3x^3 - x + 7$$ .

Accepted Answer

$$x\rightarrow\infty\ y\rightarrow-\infty$$ $$x\rightarrow-\infty\ y\rightarrow\infty$$

Answer

$$x\rightarrow\infty\ y\rightarrow\infty$$ $$x\rightarrow-\infty\ y\rightarrow-\infty$$

Question 13

Simplify:
(7 + 2i)(9 - 6i)

Accepted Answer

75-24i

Answer

63 - 24i - 12i²

Answer

51 - 24i

Answer

58 + 60i

Question 14

Write the polynomial in standard form given the following zeros. x = -2, 1, 4

Accepted Answer

f(x) =x³ - 3x² - 6x + 8

Answer

f(x) = (x+2)(x-1)(x-4)

Answer

f(x) = x³+ 8

Answer

f(x) = x³ - 3x² + 8

Question 15

Build a Polynomial with the following Zeros:

4, 5, 6, 7

Accepted Answer

x⁴ - 22x³ + 179x² - 638x + 840

Answer

x⁴ - 22x³ + 89x² + 638x + 730

Answer

x⁴ - 12x³ - 179x² - 638x + 540

Answer

x⁴ - 13x³ + 179x² - 638x + 640

Question 16

x3 - 27

Accepted Answer

(x - 3)(x² + 3x + 9)

Answer

(x - 4)(x² + 4x + 16)

Answer

(x + 3)(x² - 4x + 16)

Answer

(x - 1)(x² + 1x + 1)

Question 17

if f(x) = x³+8x+24, then find f(-2) using synthetic division.

Accepted Answer

0

Answer

12

Answer

8

Answer

-6

Question 18

Use synthetic division to determine f(-3), if
f(x)= (3x³ -5x² -4x +1).

Accepted Answer

-113

Answer

-25

Answer

25

Answer

113

Question 19

Question 19.

Accepted Answer

9

Answer

-9

Answer

7

Answer

-7

Question 20

Question 20.

Accepted Answer

3

Accepted Answer

2

Answer

-3

Answer

-2

Question 21

What is the domain of the function?

Accepted Answer

D:{all real numbers}

Answer

D:{ x is greater than or equal to 3}

Answer

D:{x is less than or equal to 3}

Answer

D:{ x is all real numbers between and including -1 and 5}

Question 22

Does the graph represent a function?

Accepted Answer

No, because the vertical line test shows there are repeating input values

Answer

Yes, because the vertical line test shows there are no repeating input values

Question 23

Solve the equation for w. ^{x = w / a}

Accepted Answer

w = ax

Answer

w = a / x

Answer

w = x / a

Answer

x = wa

Question 24

Find the slope of the line that passes through
(10, 1) and (5, 2)

Accepted Answer

-1/5

Answer

1/5

Answer

5

Answer

-5

Question 25

Which of the following are ways to find the rate of change?

Accepted Answer

all of the above

Answer

change in y over change in x

Answer

rise over run

Answer

subtract y coordinates over subtract x coordinates

Question 26

A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?

Accepted Answer

75

Answer

200

Answer

150

Answer

300

Question 27

Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the slope of the graph?

Accepted Answer

32

Answer

64

Answer

128

Answer

16

Question 28

At what rate did the rain fall?

Accepted Answer

2 cm per hour

Answer

¹/₄ cm per hour

Answer

¹/₂ cm per hour

Answer

4 cm per hour

Question 29

What would the graph of y = 8 look like?

Accepted Answer

Horizontal line

Answer

Vertical line

Answer

Slanted line

Answer

No way to tell

Question 30

Determine the slope and y-intercept from the following equation:   y = 3/2x + 3

Accepted Answer

slope: 3/2   y-intercept:  (0,3)

Answer

slope: 5   y-intercept:  (0,3)

Answer

slope:  3  y-intercept:  (0,3/2)

Answer

slope: 3/2   y-intercept:  (3,0)

Question 31

What type of slope does the graph have?

Accepted Answer

Undefined

Answer

Positive

Answer

Negative

Answer

Zero Slope

Question 32

What is the slope in the picture?

Accepted Answer

Positive

Answer

Negative

Answer

Zero

Answer

Undefined

Question 33

What is the slope in the picture?

Accepted Answer

Negative

Answer

Positive

Answer

Zero

Answer

Undefined

Question 34

3y+4y+6=20

Accepted Answer

y=2

Answer

y=-2

Answer

y=4

Answer

y=3

Question 35

7(1 - y) = -3(y - 2)

Accepted Answer

x = 1/4

Answer

x = 4

Answer

x = 5

Question 36

Solve.   -45 = 5 - 5n

Accepted Answer

10

Answer

12

Answer

-10

Answer

5

Question 37

Given f(x) = -4x - 10 and f(x) = 10. Find x

Accepted Answer

x = -50

Answer

x = -5

Answer

x = 5

Answer

x = 30

Question 38

Add

Accepted Answer

11 8 -4 2

Answer

3 2 -6 -6

Answer

-3 2 -4 -6

Answer

10 8 -6 2

Question 39

What are the dimensions of this matrix?

Accepted Answer

3 x 2

Answer

2 x 3

Answer

6 x 1

Answer

1 x 6

Question 40

find: B*A

Accepted Answer

47 30 9 5

Answer

17 15
42 35

Answer

10 25 7 1

Answer

not possible because rows do not match columns

Question 41

Multiply

Accepted Answer

-20 15 -10
30 -5 0

Answer

20 15 -10
30 -5 0

Answer

1 8 3
11 4 5

Answer

20 -15 10
-30 5 0

Question 42

Subtract

Accepted Answer

3 -4 8 -13

Answer

3 -8 0 -1

Answer

-3 8 0 1

Answer

3 -8 -8 1

Question 43

What do w, x, y and z equal in this matrix subtraction?

Accepted Answer

w = 13, x = 4, y = 11, z = 23

Answer

w = 13, x = 4, y = 7, z = 23

Answer

w = 13, x = -4, y = 11, z = 23

Answer

w = 13, x = 4, y = 11, z = 17

Question 44

log₂(x²- 6) = log₂(2x+2)

Accepted Answer

4

Answer

4, -2

Answer

No Solution

Answer

-2

Question 45

Expand the logarithm.
$$\log\frac{x}{y^6}$$

Accepted Answer

$$\log x-6\log y$$

Answer

$$\log x+6\log y$$

Answer

$$\log x+\log6y$$

Answer

$$\log x-\log6y$$

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