Quiz about Algebra II Review 2

Question 1

Which equation is represented by the graph?

Accepted Answer

$$y+4=\frac{3}{2}\left(x-1\right)$$

Answer

$$y-4=\frac{3}{2}\left(x+1\right)$$

Answer

$$y-1=\frac{3}{2}\left(x+4\right)$$

Answer

$$y+1=\frac{3}{2}\left(x-4\right)$$

Question 2

Timothy correctly factored the binomial shown below

$$x^{4^{ }}-9$$

Which of these is one of the correct factors?

Accepted Answer

$$x^2+3$$

Answer

$$x+3$$

Answer

$$x+9$$

Answer

$$x^2+9$$

Question 3

Select all polynomials that have a zero located at (4,0)

Accepted Answer

$$f\left(x\right)=\left(2x-8\right)\left(x+5\right)$$

Answer

$$f\left(x\right)=\left(x-5\right)\left(x+4\right)$$

Answer

$$f\left(x\right)=4x\left(x-3\right)\left(x-1\right)$$

Answer

$$f\left(x\right)=\left(x-4\right)\left(x-3\right)\left(x+1\right)$$

Question 4

Select all expressions that are equivalent to

-15 + 27i

Accepted Answer

- 3 (5 - 9i)

Accepted Answer

3i (9 + 5i)

Accepted Answer

9(3i) + 15i²

Accepted Answer

5i(3i) + 3(9i)

Question 5

The equation y = a ( 1 -r)^x models an exponential decay. Select all of the numbers that could be substituted for r.

Accepted Answer

$$\frac{1}{2}$$

Accepted Answer

$$\frac{3}{4}$$

Answer

$$-\ \frac{1}{2}$$

Answer

1

Question 6

What are the solutions to equations $$3x^2-5x=-7$$

Accepted Answer

$$\frac{5\pm i\sqrt[]{59}}{6}$$

Answer

$$\frac{5\pm\sqrt[]{59}}{6}$$

Answer

$$\frac{5\pm\sqrt[]{109}}{6}$$

Answer

$$\frac{5\pm i\sqrt[]{109}}{6}$$

Question 7

What is the value of x when $$\frac{4x+1}{3x-5}=\frac{4}{9}$$

Accepted Answer

$$-\frac{29}{24}$$

Answer

$$-\frac{1}{4}$$

Answer

$$-\frac{7}{8}$$

Answer

$$-\frac{7}{12}$$

Question 8

Which graph is defined by the function equation $$y=-\left(3^x\right)$$

Accepted Answer

Option B is correct

Answer

A.

Answer

C.

Answer

D.

Question 9

What values of x will make the equation $$\sqrt[]{3\left(x+7\right)}=9$$ true?

Accepted Answer

20

Answer

-6

Answer

-4

Answer

34

Question 10

What is the value of b if $$\left(3+i\right)\ and\ \left(3-i\right)$$ are complex roots of $$2x^2+bx+20=0$$

Accepted Answer

-12

Answer

-6

Answer

6

Answer

10

Question 11

What is the value of y when $$\frac{8y}{4y+5}=\frac{5}{6}$$

Accepted Answer

$$\frac{25}{28}$$

Answer

$$\frac{5}{28}$$

Answer

$$\frac{15}{8}$$

Answer

$$\frac{25}{7}$$

Question 12

If $$f\left(x\right)=5x^2$$ , what is 4f(x)?

Accepted Answer

$$15x^2$$

Answer

$$8x^5$$

Answer

$$15x^6$$

Answer

$$125x^8$$

Question 13

Which expression is a solution to the equation

$$4x^2\ =8x-9$$

Accepted Answer

$$\frac{2-i\sqrt[]{5}}{2}$$

Answer

$$\frac{-2+i\sqrt[]{5}}{2}$$

Answer

$$\frac{2-i\sqrt[]{13}}{2}$$

Answer

$$\frac{2+\sqrt[]{13}}{2}$$

Question 14

Line l contains the points given in the table.

If the slope of line m is $$\frac{1}{2}$$ the slope of line l, which of the following tables contains three points that could be line m?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 15

Which of the following is equivalent to $$\left(-25\right)^{\frac{3}{2}}$$

Accepted Answer

-126i

Answer

-125

Answer

125

Answer

125i

Question 16

A movie theater has 225 people. There are 110 more adults than children in the theater. Let x represent the number of adults and let y represent the number of children. Which system of equations represents this situation?

Accepted Answer

x + y = 225

x = y + 110

Answer

x + y = 225

y = 110x

Answer

x + y = 225

x = 110y

Answer

x + y = 225

y = x + 110

Question 17

As a cup of coffee sits on the counter, the temperature of the coffee cools to room temperature. Which of the following graphs best represents the relationship between how long the coffee has been sitting and the temperature of the coffee?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 18

What are the complex solutions to the following equation?

$$-2x^2+2x-3=0$$

Accepted Answer

$$\frac{-1\pm i\sqrt[]{5}}{-2}$$

Answer

$$\frac{-1\pm i\sqrt[]{5}}{2}$$

Answer

$$\frac{-1\pm2i\sqrt[]{5}}{-2}$$

Answer

$$\frac{-1\pm\sqrt[]{5}}{-2}$$

Question 19

A box contains 18 blue flashlights, 3 red flashlights, 7 silver flashlights, and 2 black flashlights. The flashlights are identical in size and shape. If one flashlight is chosen at random, what is the probability that the flashlight will be either blue or black?

Accepted Answer

$$\frac{2}{3}$$

Answer

$$\frac{1}{3}$$

Answer

$$\frac{1}{2}$$

Answer

$$\frac{3}{5}$$

Question 20

What component of a complex number does the term 4 represent in 4 + 9i?

Accepted Answer

real number

Answer

imaginary number

Answer

irrational number

Answer

whole number

Question 21

A barge traveled 17.5 miles upstream on a river in 7 hours. The return trip took the barge 5 hours. What is the rate of the barge in still water, in miles per hour?

Accepted Answer

3.0

Answer

0.5

Answer

2.5

Answer

3.5

Question 22

Which could be the value of x when 4 + 3x is a complex number?

Accepted Answer

$$i$$

Answer

$$2^{-2}$$

Answer

$$\sqrt[]{2}$$

Answer

$$\pi$$

Question 23

Simplify

$$\frac{27x^6y^4}{-3x^4y}$$

Accepted Answer

$$-9x^2y^3$$

Answer

$$-9x^2y^4$$

Answer

$$9x^2y^3$$

Answer

$$24x^2y^3$$

Algebra II Review 2

32 questions

Which equation is represented by the graph?

Erma and Kris are comparing two different linear functions. Erma's function has the equation
y = 3x - 2. The table lists several points on Kris's function. What improper fraction represents the distance, in units between the x-intercepts of the functions?

Select all polynomials that have a zero located at (4,0)

Select all expressions that are equivalent to
-15 + 27i

The equation y = a ( 1 -r)^x models an exponential decay. Select all of the numbers that could be substituted for r.

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Algebra II Review 2

32 questions

Which equation is represented by the graph?

Erma and Kris are comparing two different linear functions. Erma's function has the equation y = 3x - 2. The table lists several points on Kris's function. What improper fraction represents the distance, in units between the x-intercepts of the functions?

Select all polynomials that have a zero located at (4,0)

Select all expressions that are equivalent to-15 + 27i

The equation y = a ( 1 -r)x models an exponential decay. Select all of the numbers that could be substituted for r.

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Erma and Kris are comparing two different linear functions. Erma's function has the equation
y = 3x - 2. The table lists several points on Kris's function. What improper fraction represents the distance, in units between the x-intercepts of the functions?

Select all expressions that are equivalent to
-15 + 27i

The equation y = a ( 1 -r)^x models an exponential decay. Select all of the numbers that could be substituted for r.