Quiz about College Algebra S2 Final

Question 1

What is the remainder of the following division? $$(x^4 + 3x^3 + x^2 + 7x + 5) \div (x + 1)$$

Accepted Answer

-3

Answer

17

Answer

-2

Answer

-4

Question 2

What is the equation of the graph shown below?

Accepted Answer

$$f(x) = (x - 1)(x - 4)^3$$

Answer

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

Answer

$$f(x) = (x - 1)(x - 4)^2$$

Answer

$$(x - 1)^2(x - 4)^2$$

Question 3

Which is NOT a factor of $$x^4-2x^3-7x^2+8x+12$$ ?

Accepted Answer

x - 1

Answer

x + 1

Answer

x - 2

Answer

x + 2

Question 4

Which polynomial function has zeros of 1, 1 + i, and 1 - i?

Accepted Answer

$$p(x) = x^3 - 3x^2 + 4x - 2$$

Answer

$$p(x) = x^3 - 4x^2 + 3x - 1$$

Answer

$$p(x) = x^3 + 2x^2 - 3x - 3$$

Answer

$$p(x) = x^3 - x^2 + 2x + 1$$

Question 5

Describe the vertical asymptote(s) and hole(s) for the graph of $$f\left(x\right)=\frac{\left(x-2\right)\left(x+5\right)}{\left(x+5\right)\left(x+3\right)}$$ .

Accepted Answer

asymptote: x = -3 and hole: x = -5

Answer

asymptote: x = 3 and hole: x = 5

Answer

asymptote: x = -3 and x = -5

Answer

asymptote: x = -2 and hole: x = -3

Question 6

Which function has a y-intercept of $$-\frac{8}{27}$$ ?

Accepted Answer

all of the above

Answer

$$f\left(x\right)=\frac{8}{x^2-12x-27}$$

Answer

$$f\left(x\right)=\frac{8}{-\left(8x+3\right)\left(x+9\right)}$$

Answer

$$f(x)=\frac{-8}{x^2+12x+27}$$

Question 7

Find the horizontal asymptote of the graph of y = $$\frac{3x^2 + 6x + 6}{4x^2 + 9}$$

Accepted Answer

y = 3/4

Answer

y = 1

Answer

y = 3

Answer

y = 0

Question 8

Identify any holes in the graph of the rational expression: $$f\left(x\right)=\frac{2x+10}{x^2+3x-10}$$ .

Accepted Answer

(-5, -2/7)

Answer

(-5, 0)

Answer

(0, 14)

Answer

(-5, 2)

Question 9

Find the function f whose graph is given below:

Accepted Answer

$$f(x)=\frac{x-2}{x^2+3x-4}$$

Answer

$$f(x)=\frac{2-x}{x^2+3x-4}$$

Answer

$$f(x)=\frac{x-2}{x^2-3x-4}$$

Answer

$$f\left(x\right)=\frac{2-x}{x^2-3x-4}$$

Question 10

Express $$27^{\frac{1}{3}}=3$$ in logarithmic form.

Accepted Answer

$$\log_{27}3=\frac{1}{3}$$

Answer

$$\log_327=3$$

Answer

$$\log_{\frac{1}{3}}3=27$$

Answer

$$\log_327=27$$

Question 11

Solve $$\log_x81=4$$ .

Accepted Answer

3

Answer

20.25

Answer

9

Answer

324

Question 12

The expression $$4\log\left(a\right)-\frac{1}{2}\log\left(b\right)+\log\left(c\right)$$ is equivalent to:

Accepted Answer

$$\log\left(\frac{a^4c}{\sqrt{b}}\right)$$

Answer

$$\log\left(\frac{a^4}{\sqrt{b}c}\right)$$

Answer

$$\log\left(\frac{4ac}{\sqrt{b}}\right)$$

Answer

$$\log\left(\frac{2ac}{b}\right)$$

Question 13

Solve $$2^x = 32^{x-16}$$ .

Accepted Answer

x = 20

Answer

x = -11

Answer

x = 4

Answer

x = -16

Question 14

Find the amount of money in an account after 4 years if $1800 is deposited at 5% annual interest compounded quarterly.

Accepted Answer

$2195.80

Answer

$2197.61

Answer

$2187.91

Answer

$2193.13

Question 15

Solve the following equation: $$5^{x+7} = 3$$ .

Accepted Answer

$$\frac{\ln3}{\ln5}-7$$

Answer

$$\frac{\ln5}{\ln3}+7$$

Answer

$$\ln3-\ln5-\ln7$$

Answer

$$\frac{\ln3}{\ln5}+7$$

Question 16

Solve the following system for x: $$x+y+z=6$$

$$2x-y+3z=9$$

$$2x+z=5$$

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 0

Answer

x = 2

Question 17

Graph the solution set of the system of inequalities.

Accepted Answer

$$y\ge\left(x+3\right)^2-5$$

$$y\le-\left(x+3\right)^2+5$$

Answer

$$y\ge\left(x+3\right)^2-5$$

$$y\ge-\left(x+3\right)^2+5$$

Answer

$$y\le\left(x+3\right)^2-5$$

$$y\ge-\left(x+3\right)^2+5$$

Answer

Graph d $$y\le\left(x+3\right)^2-5$$

$$y\le-\left(x+3\right)^2+5$$

Question 18

Which of the following statements is true of the diagram below?

Accepted Answer

cos Q = 15/17

Answer

cos P = 8/15

Answer

tan Q = 15/8

Answer

sin P = 8/17

Question 19

Which graph represents the function $$f\left(x\right)=\log_8(x-2)-4$$ ?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 20

Find the standard equation of the given ellipse.

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 21

Set up the partial fractions...

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 22

What are the x-intercept(s) of the rational function: $$f\left(x\right)=\frac{x^2-2x-8}{x^2-9}$$ ?

Accepted Answer

x= 4, x = -2

Answer

x= 8/9

Answer

x= -3, x = 3

Answer

No x-intercepts

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics