Quiz about Units 7 & 8 Review

Question 1

What is the first question you ask yourself when factoring a polynomial?

Accepted Answer

Is there a GCF?

Answer

How many terms does it have?

Answer

What strategy should I use?

Answer

Why do I have to learn this?!?!?!

Question 2

Factor completely:

x²+ 9x - 36

Accepted Answer

(x + 12)(x - 3)

Answer

(x + 9)(x - 4)

Answer

(x - 12)(x + 3)

Answer

(x - 9)(x - 4)

Question 3

Factor completely:

81m² - 1

Accepted Answer

(9m-1)(9m+1)

Answer

not factorable

Answer

(m-9)(m+9)

Answer

9m(9m-1)

Question 4

What are the factors of
25x² - 81?

Accepted Answer

(5x - 9)(5x + 9)

Answer

(5x - 9)(5x - 9)

Answer

(5x + 9)(5x + 9)

Answer

Cannot be factored

Question 5

What is the first step in solving
(x + 2)(x - 3) = 0 ?

Accepted Answer

Set each binomial factor equal to zero

Answer

Plug in zero for x

Answer

Solve for x

Answer

FOIL

Question 6

Solve for the values of x:
(x + 2)(x - 3) = 0

Accepted Answer

{ -2, 3 }

Answer

{ 2, 3 }

Answer

{ -2, -3 }

Answer

{ 2, 3 }

Question 7

Solve and find your zeros:
z(z - 15)=0

Accepted Answer

z=0 and z=15

Answer

z=0 and z=-15

Answer

z=-15

Answer

z=15

Question 8

$$\left(u-2\right)\left(u+8\right)=0$$

Accepted Answer

$$u=2,\ u=-8$$

Answer

$$u=-2,\ u=8$$

Answer

$$u=2,\ u=8$$

Answer

$$u=-2,\ u=-8$$

Question 9

Solve for x

$$5x=0$$

Accepted Answer

x=0

Answer

x=5

Answer

x=2

Answer

x= -5

Question 10

Factor:

2x²+32x+30

Accepted Answer

2(x+1)(x+15)

Answer

2(x+3)(x+5)

Answer

2(x-3)(x-5)

Answer

2(x-1)(x+15)

Question 11

How many solutions does this graph have?

Accepted Answer

two

Answer

one

Answer

no solutions

Answer

cannot be determined

Question 12

Solve the following equation for y:

2x + y = 2

Accepted Answer

y = -2x + 2

Answer

y = -2x

Answer

y= 2x + 2

Answer

x = -2x + 2

Question 13

Write in slope intercept form (solve for y)

-4x + 2y = -6

Accepted Answer

y = 2x - 3

Answer

y = -2x + 3

Answer

y = 2x + 3

Answer

y = -2x - 3

Question 14

Solve the following equation for y:

-3x + 7y = 14

Accepted Answer

$$y\ =\ \frac{3}{7}x\ +\ 2$$

Answer

$$y\ =\ \frac{3}{7}x$$

Answer

$$y=\ \frac{7}{3}x\ +\ 7$$

Answer

y = 3x - 2

Question 15

Solve the following inequality for y:

$$2x+5y<40$$

Remember to flip sign when dividing by a negative!!!

Accepted Answer

$$y<-\frac{2}{5}x+8$$

Answer

$$y<\frac{5}{2}x+8$$

Answer

$$y>-\frac{5}{2}x-8$$

Answer

$$y>\frac{2}{5}x+8$$

Question 16

Solve for x in the following absolute value equation.

$$\left|\ \frac{x}{4}\right|\ =\ 8$$

Accepted Answer

$$\left\{\ 32,\ -32\ \right\}$$

Answer

$$\left\{\ 2,\ -2\ \right\}$$

Answer

$$\left\{\ \frac{1}{2}\ ,\ -\frac{1}{2}\right\}$$

Answer

$$\left\{\ 12,\ -12\ \right\}$$

Question 17

Solve for n in the following absolute value equation.

$$\left|\ n\ -\ 6\ \right|\ =\ -6$$

Accepted Answer

No solution

Answer

$$0$$

Answer

$$\left\{\ 12,\ -12\ \right\}$$

Answer

$$\left\{\ 1,\ -1\ \right\}$$

Question 18

Solve for y in the following absolute value equation.

$$\left|\ 2y\ -\ 4\ \right|\ =\ 0\ $$

Accepted Answer

$$2$$

Answer

$$\left\{\ 4,\ -4\ \right\}$$

Answer

$$\left\{\ 2,\ -2\ \right\}$$

Answer

$$\left\{\ 8,\ -8\ \right\}$$

Question 19

Solve for b in the following equation.

$$\left|\ \frac{b}{3}\ +\ 3\ \right|\ =\ 9$$

Accepted Answer

$$\left\{\ 18,\ -36\ \right\}$$

Answer

$$\left\{\ 2,\ 4\ \right\}$$

Answer

$$\left\{\ 2,\ -4\ \right\}$$

Answer

$$\left\{\ 18,\ 36\ \right\}$$

Question 20

Solve the equation:
-5x = 25

Accepted Answer

x = -5

Answer

x = 20

Answer

x = -20

Answer

x = 5

Question 21

19  + a  =  -50

Accepted Answer

a =  -69

Answer

a = -950

Answer

a = -31

Answer

a = -50/19

Question 22

Solve for x:

Accepted Answer

x = 10

Answer

x = 20

Answer

x = 7

Answer

x = 3

Question 23

3c + 5 = 23

Accepted Answer

c = 6

Answer

c = 3

Answer

c = 7

Answer

c = 18

Question 24

*

Accepted Answer

-5

Answer

6

Answer

5

Answer

6

Question 25

Solve for x:
2(3x + 4) + 2 = 4 + 3x

Accepted Answer

-2

Answer

2

Answer

-2/3

Answer

10

Question 26

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

Accepted Answer

x = 1/4

Answer

x = 4

Answer

x = 5

Question 27

You flip an inequality symbol when you...

Accepted Answer

multiple or divide by a negative number

Answer

subtract

Answer

multiply and divide only

Answer

multiple by a negative number

Question 28

Solve:
6x+10>5x-12

Accepted Answer

x>-22

Answer

x>2

Answer

x<2

Answer

x<-22

Question 29

When graphing b< 6 would you use an open or closed circle?

Accepted Answer

Open

Answer

closed

Question 30

Which graph matches the inequality
k < 3?

Accepted Answer

A

Answer

B

Answer

C

Answer

D

Question 31

Which inequality matches the graph?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 32

What inequality does the number line graph represent?

Accepted Answer

2x +1 < -3

Answer

x + 2 < 4

Answer

-x + 3 > 1

Answer

x + 4 >= 2

Question 33

If f(x) = 2x + 5 what does f(3) =

Accepted Answer

11

Answer

9

Answer

10

Answer

12

Question 34

If f(x) = 10x - 5, what does f(2) =

Accepted Answer

15

Answer

10

Answer

20

Answer

25

Question 35

What type of function is represented by the picture?

Accepted Answer

Quadratic

Answer

Exponential

Answer

Square Root

Answer

Cubic

Question 36

What is the vertical line test?

Accepted Answer

A graph is not a function if you can draw a vertical line and it crosses the graph in more than 1 location

Answer

A Graph is a function if it can be altered to make a linear equation.

Answer

A graph is a function if you can create a vertical line that adheres to the equation y=mx+b

Answer

Stay within the vertical lines

Question 37

What type of parent function is this?

Accepted Answer

absolute

Answer

cubic

Answer

quadratic

Answer

square root

Question 38

Which parent function is this?

Accepted Answer

Exponential

Answer

Quadratic

Answer

Square Root

Answer

Absolute value

Question 39

Which parent function is this?

Accepted Answer

Cubic

Answer

Exponential

Answer

Square Root

Answer

Quadratic

Question 40

Which parent function is this?

Accepted Answer

Quadratic

Answer

Exponential

Answer

Rational

Answer

Cubic

Question 41

Which type of parent function is this?

Accepted Answer

Linear

Answer

Cubic

Answer

Quadratic

Answer

Exponential

Question 42

Which parent function is this?

Accepted Answer

Square Root

Answer

Exponential

Answer

Cubic

Answer

Quadratic

Question 43

Generate an equivalent algebraic expression where each variable appears once

$$\left(4h^{-3}m^5\right)\left(5h^3m^6\right)^2$$

Accepted Answer

$$100h^3m^{17}$$

Answer

$$20m^{11}$$

Answer

$$20h^3m^{17}$$

Answer

$$100m^{11}$$

Question 44

Which expression is equivalent to $$\frac{\left(2j^5\right)^4\left(8j^8\right)}{\left(8j^3\right)^2}$$ ?

Accepted Answer

$$2j^{22}$$

Answer

$$j^{22}$$

Answer

$$\frac{1}{2j^{22}}$$

Answer

$$\frac{1}{j^{22}}$$

Question 45

Perform the indicated operation. Write answer in descending order. ( 8x² - 12x + 6 ) + ( 7x³ + 8x - 15 )

Accepted Answer

7x³ + 8x² - 4x - 9

Answer

15x² - 4x - 9

Answer

7x³ + 8x² - 4x - 11

Answer

15x² - 4x - 11

Question 46

Perform the indicated operation . Write answer in descending order ( 3x² - 8x + 7 ) + ( 8x² + 9x - 16 )

Accepted Answer

11x² + x - 9

Answer

11x⁴ + x² - 9

Answer

11x² - x - 9

Answer

11x² -17x - 11

Question 47

(5 + 3x) + (x - 12) =

Accepted Answer

4x - 7

Answer

4x + 7

Answer

7x - 4

Answer

4x - 17

Question 48

(9x + 8a) + (6x + a) =

Accepted Answer

15x + 9a

Answer

15x + 8a

Answer

14x + 9a

Answer

14x + 8a

Question 49

Find the product:

$$\left(3x\ +\ 2\right)\left(2x\ +\ 4\right)$$

Accepted Answer

6x² + 16x + 8

Answer

5x² +11x + 6

Answer

5x² + 16x + 6

Answer

6x² + 11x + 8

Question 50

Find the product.

$$\left(3x\ -\ 1\right)\left(x\ +\ 5\right)$$

Accepted Answer

3x² + 14x - 5

Answer

3x² + 4x + 5

Answer

3x² + 4x - 5

Answer

3x² + 14x + 5

Question 51

Find the product:
-3x²( 7x²- x + 4)

Accepted Answer

-21x⁴ + 3x³ -12x²

Answer

7x² - x + 4 (-3x²)

Answer

21x⁴+ 3x³+ 12x²

Answer

-12x²+ 3x³-21x⁴

Question 52

Find the product:
$$\left(x+1\right)\left(x^2-4x-21\right)$$

Accepted Answer

$$x^3-3x^2-25x-21$$

Answer

$$x^3+3x^2+25x+21$$

Answer

$$-x^3-3x^2-25x-21$$

Answer

$$x^4-3x^3-25x^2-21x$$

Question 53

What is the perimeter of the triangle shown?

Accepted Answer

9r2+r-4

Answer

9r2+r-5

Answer

9r⁴+r²-4

Answer

9r2-r+4

Question 54

Simplify each expression.
(6b³ + 6 - b⁴) - (8b³ - 6b⁴ + 2)

Accepted Answer

5b⁴ - 2b³ + 4

Answer

4b⁴ - 2b³ + 7

Answer

b⁴ - 2b³ + 7

Answer

5b⁴ - 2b³ + 7

Units 7 & 8 Review

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