Free Printable Ch. 1-8.3 (Algebra)

1.

5x=25

a)

6

b)

5

c)

4

d)

50

2.

4(4+4x)=96

a)

5

b)

1.5

c)

9

d)

10

3.

4=2r-10

a)

7

b)

15

c)

14

d)

9

4.

297=7(8x-6)+3

a)

13

b)

12

c)

6

d)

10

5.

19=14+t

a)

10

b)

18

c)

19

d)

5

6.

-119=1-6(3n-4)

a)

11

b)

8

c)

14

d)

9

7.

After paying $8.24 for a sandwich,Amanda has $7.71. With how much money did she start?

a)

$17.55

b)

$24.19

c)

$15.95

d)

$0.50

8.

12=n-9

a)

12

b)

21

c)

211

d)

65

9.

I won 70 stickers. I gave 1 to each student. I have 54 left. How many did I give away?

a)

16

b)

38

c)

40

d)

73

10.

7 (1 + 2n) = -105

a)

2

b)

7

c)

-8

d)

90909090909

11.

11b+7=40

a)

45

b)

8

c)

4

d)

3

12.

30=5(x+1)

a)

5

b)

50

c)

15

d)

6

13.

-87 = -3 (3r + 8)

a)

8

b)

7

c)

20

d)

5

14.

13= r/9 + 8

a)

45

b)

5

c)

17

d)

15

15.

k/4 + 3 = 14

a)

21

b)

44

c)

12

d)

32

16.

Batteries cost $2.87 / pack. How many packs did Kathryn buy if she spent$11.48

a)

3

b)

4

c)

2

d)

10

17.

-4 + (x / 14) = -5

a)

5

b)

8

c)

-16

d)

-14

18.

(-5 (5 + 2n)) - 6 =-81

a)

-10

b)

-6

c)

5

d)

4

19.

Seven less than 3 times a number is 18. What is the equation?

a)

3x-7 =18

b)

7+3/x=18

c)

7-3x=18

d)

x/3-7=18

20.

Five times a number minus 4 is six. What is the number?

a)

50

b)

2

c)

2/5

d)

10

21.

Solve the inequality.
x + 5 ≤ 13

a)

x ≥ 8

b)

x ≥ 18

c)

x ≤ 8

d)

x ≤ 18

22.

Match the graph with its inequality.

a)

11 < a

b)

11 > a

c)

11 ≤ a

d)

11 ≥ a

23.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

24.

-4x + 14 ≤ 54

a)

x ≥ - 10

b)

x ≤ -10

c)

x ≥ 10

d)

x ≤ 10

25.

4x - 3 < -1x + 12

a)

x > 3

b)

x < 3

c)

x < 5

d)

x > 5

26.

.5(x - 8) < 2

a)

x > 20

b)

x < 20

c)

x > 12

d)

x < 12

27.

-1(2x + 4) ≥ 6

a)

x ≤ -5

b)

x ≥ -5

c)

x ≤ -1

d)

x ≥ -1

28.

3(x - 3) ≤ 2(x + 2)

a)

x ≤ -5

b)

x ≥ 5

c)

x ≥ 13

d)

x ≤ 13

29.

|v + 8| − 5 = 2

a)

{-1,-15}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

30.

-|−2r − 1| = 11

a)

{-6,5}

b)

{5,-6}

c)

-6

d)

No Solution

31.

−2|−2r − 4| = -12

a)

{-5,1}

b)

{-5,-1}

c)

{-5}

d)

No Solution

32.

|v + 8| − 5 = 2

a)

{-15,-1}

b)

{-1,-5}

c)

{-15,15}

d)

No Solution

33.

Solve:
|x + 3| > 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

34.

Solve:
|x + 3| > - 8

a)

x > 5 or x < -11

b)

x > 5

c)

all real numbers

d)

no solution

35.

Solve:
3 | 2x + 7| - 7 < -4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

36.

Solve:
3 | 2x + 7| + 7 < 4

a)

x < -3 and x > -5/3

b)

x < -3 and x > -4

c)

all real numbers

d)

no solution

37.

Solve.
|2x - 1| = 7

a)

x = -3 or x = 4

b)

x = 4

c)

x = 4 or x = -4

d)

no solution

38.

Solve.
-5|x - 4| > -20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

39.

Solve.
-5|x - 4| > 20

a)

x < 8 and x > 0

b)

x > 8 or x < 0

c)

all real numbers

d)

no solution

40.

Solve for t.
D= rt

a)

D/r = t

b)

Dr = t

c)

D/t = r

d)

Dt = r

41.

pV = nRT
solve for R

a)

R= pV/nT

b)

R= p/n + V/T

c)

R= pV - nT

d)

R= (pV-n)/T

42.

What should we do first to solve for x?
y=mx+b

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

43.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

44.

Solve -2 = 4r + s for s.

a)

s = -2 + 4r

b)

s = 2 - 4r

c)

s = -2 - 4r

d)

s = 2 + 4r

45.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

46.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

47.

a)

Function

b)

Not a Function

48.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

49.

Is this table a function or not a function?

a)

Function

b)

Not a Function

50.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

51.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

52.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

53.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

54.

f(x)=2x+1
If f(x)=4, what is the value of x?

a)

3/2

b)

2

c)

1/2

d)

4

55.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

56.

Which graph depicts a nonlinear function?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

57.

What is the slope of the equation?

y = -2x - 1

a)

2

b)

-2

c)

-2x

d)

-1

58.

Find the slope and y - intercept

y = 1/2x - 1

a)

slope: 1/2 y-intercept: -1

b)

slope: 2 y-intercept: -1

c)

slope: 1/2x y-intercept: 1

d)

slope: 2 y-intercept: 5

59.

What is the y-intercept?

y = 6x - 4

a)

6

b)

6x

c)

-4

d)

4

60.

Which equation is written in STANDARD form?

a)

y = 1/2x + 2

b)

y = 2x + 1

c)

7x + 2y = 9

d)

2x + 3 = 6

61.

What is the y-intercept.

a)

y-intercept is -3

b)

y-intercept -2

c)

y-intercept is 3

d)

y-intercept is -1

62.

Describe the slope of the line.

a)

negative slope

b)

0 slope

c)

positive slope

d)

undefined slope

63.

Find the slope of the line.

a)

Undefined

b)

0

c)

2

d)

-1

64.

What is the slope?

a)

-1/3

b)

-3

c)

-4

d)

5

65.

y=|x+1|−4

a)

A

b)

B

c)

C

d)

y=D

66.

y=−|x+4|

a)

A

b)

B

c)

C

d)

D

67.

y=|x−3|

a)

A

b)

B

c)

C

d)

D

68.

y=|x|+1

a)

A

b)

B

c)

C

d)

D

69.

y=|x−3|−1

a)

A

b)

B

c)

C

d)

D

70.

y=|x+2|+1

a)

A

b)

B

c)

C

d)

D

71.

Describe the movements.
y=|x+2|+2

a)

Left 2, Up 2

b)

Right 2, Up 2

c)

Left 2, Down 2

d)

Right 2, Down 2

72.

Describe the movements.
y=−|x|+4

a)

Left 4, Down 1

b)

Reflect x-axis, Down 4

c)

Reflect x-axis, Up 4

d)

Right 4, Up 1

73.

Describe the movements
y=|x−2|

a)

Left 2

b)

Right 2

c)

Up 2

d)

Down 2

74.

Does the following get wider or skinnier from the parent function y = |x|?
y = 5|x|

a)

Wider

b)

Skinnier

75.

Describe the transformation of the equation below from the parent function of y = I x I
y = -2 I x - 3 I + 3

a)

reflected over x axis, stretched by 2, right 3, up 3

b)

reflected over x axis, stretched by 2, left 3 up 3.

c)

reflected over x axis, shrunk by 2, right 3, up 3

d)

reflected over the x axis, shrunk by 2, left 3, up 3

76.

What is the vertex of the following function?
y=2|x-3|+1

a)

(2,3)

b)

(-3,1)

c)

(2,-3)

d)

(3,1)

77.

Write an absolute value function given the following transformations:
Reflection across the x-axis
Vertical shift right 2 units
Horizontal shift down 7 units

a)

y = -|x + 2| - 7

b)

y = |x - 2| - 7

c)

y = -|x - 2| - 7

d)

y = -|x - 2| + 7

78.

Write an absolute value function given the following transformations:
Vertical Stretch of 2
Horizontal shift left 1 unit
Vertical shift down 9 units

a)

f(x) = |2x + 1| - 9

b)

f(x) = |2x - 1| - 9

c)

f(x) = 2|x + 1| - 9

d)

f(x) = 2|x - 1| - 9

79.

Which function shows a horizontal stretch and a vertical translation?

a)

f(x) = 9|-x| + 2

b)

f(x) = |¹/₂x + 3| - 7

c)

f(x) = -|4x + 1| + 5

d)

f(x) = ¹/₃|2x - 4| - 1

80.

Which function shows a horizontal and vertical reflection?

a)

f(x) = -3|-x + 1| + 4

b)

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

c)

f(x) = 3|-x + 1| + 4

d)

f(x) = -3|x - 4| + 1

81.

Which function shows horizontal translation and a vertical stretch?

a)

f(x) = -2|-x |

b)

f(x) = -3|x| - 7

c)

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

d)

f(x) = 5|x - 4| - 1

82.

Which function is graphed?

a)

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

b)

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

c)

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

d)

f(x) = -2|x - 4|

83.

Which function is graphed?

a)

f(x) = -|2x - 3| + 5

b)

f(x) = -|x + 5| - 3

c)

f(x) = -|2x + 6| + 5

d)

f(x) = -2|x + 5| - 3

84.

Which function is graphed?

a)

f(x) = 2|x - 5|

b)

f(x) = |x - 5|

c)

f(x) = |x - 5| + 5

d)

f(x) = |x| + 5

85.

Which function is graphed?

a)

f(x) = -3|-x + 1| + 4

b)

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

c)

f(x) = -5|x + 1| + 4

d)

f(x) = -3|x - 4| + 1

86.

Which function is graphed?

a)

f(x) = 2|x + 2| - 3

b)

f(x) = |¹/₂x + 2| - 3

c)

f(x) = |¹/₂x + 3| - 2

d)

f(x) = 4|¹/₂x + 3| - 2

87.

Which graph matches the function:
y = -2|x - 3| + 5

a)

A

b)

B

c)

C

d)

D

88.

Identify the equation of the graph.

a)

y = - | x + 2| + 4

b)

y = - | x - 2| + 4

c)

y = | x - 2 | + 4

d)

y = | x - 2| - 4

89.

Identify the equation of the graph.

a)

y = |x - 1| - 1

b)

y = |x + 1| - 1

c)

y = |x - 1| +1

d)

y = |x + 1| + 1

90.

Identify the equation of the graph.

a)

y = |x-3|-2

b)

y = -|x-3|-2

c)

y = |x+3|-2

d)

y = |x+3|+2

91.

Identify the equation of the graph.

a)

y = - |x-1 | +1

b)

y = - |x+1| - 1

c)

y = |x-1| - 1

d)

y = -|x-1|-1

92.

What function best describes this graph?

a)

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

b)

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

c)

f(x)= |x+1| + 4

d)

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

93.

List the translations or reflections of this function.
f(x)= |x-5| -2

a)

Flip, Down 2, Right 5

b)

Flip, Down 2, Left 5

c)

Down 2, right 5

d)

Down 2, left 5

94.

List the translations or reflections of this function.
f(x)= -|x+3| -1

a)

Flip, Up 1, Right 3

b)

Up 1, Left 3

c)

Flip, Down 1, Left 3

d)

Down 1, Right 3

95.

What is the vertex of the following function?
y= 3/2 |x+3|-3

a)

(-3,-3)

b)

(3,-3)

c)

(3/2,3)

d)

(-3,3/2)

96.

Which equation best represents the relationship between x and y in the table shown?

a)

y= 5x+5

b)

y=1/5x+5

c)

y=15x+5

d)

y=10x+5

97.

Which graph represents y = -3/2x + 4 ?

a)

b)

c)

d)

98.

Which graph represents 2x - 5y = -10 ?

a)

b)

c)

d)

99.

Which graph represents the table?

a)

b)

c)

d)

100.

Which graph represents the equation y = 4x - 1 ?

a)

b)

c)

d)

101.

Which graph represents the equation x + 5y = 5 ?

a)

b)

c)

d)

102.

Which graph represents the table?

a)

b)

c)

d)

103.

For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?

a)

(-4, 3)

b)

(3, -4)

c)

(-3, -4)

d)

(-4, -3)

104.

For the equation
y + 1 = -3(x - 5),
the line contains the point (5, -1) and has a slope of?

a)

-1

b)

1

c)

-3

d)

5

105.

Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4

a)

y +7 = -1/4(x - 4)

b)

y - 4 = -1/4(x + 7)

c)

y+ 7 = 4(x - 4)

d)

y - 7 = -1/4(x - 4)

106.

The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation to the amount of time they have been riding. What is the equation of the line of best fit?

a)

y = -25x + 170

b)

y = 25x + 170

c)

y = -(5/8) x + 170

d)

y = (5/8) x + 170

107.

The graph above shows a line of best fit for data collected on the amount earned by waiters and waitresses last week in relation to the number of tables they served. What is the equation of the line of best fit?

a)

y = (5/3) x + 375

b)

y = (1/3) x + 475

c)

y = (5/3) x + 475

d)

y = (1/3) x + 375

108.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

109.

Which scatter plot shows a linear relationship between x and y?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

110.

What is the type of association?

a)

Negative

b)

no association

c)

positive

111.

What type of association does this graph have?

a)

positive

b)

negative

c)

none

d)

all of the above

112.

What type of association does this scatter plot show?

a)

positive linear association

b)

negative linear association

c)

no association

d)

nonlinear association

113.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

114.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

115.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

116.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

117.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

118.

Solve the following system of equations by graphing:

a)

(4, -4)

b)

(-4, 4)

c)

no solutions

d)

(0, 0)

119.

Solve the following system of equations by graphing:

a)

Infinite solutions

b)

(2, -2)

c)

(1, 0)

d)

(3, -4)

120.

Solve the following system of equations using the elimination method:

a)

(-2, 1)

b)

no solutions

c)

(-2, 0)

d)

(-1, -3)

121.

Solve the following system of equations using the elimination method.

a)

infinite solutions

b)

(0, -2)

c)

no solutions

d)

(0, 2)

122.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

123.

Solve the system of equations by substitution.
y = -4x + 5
y = 3x - 16

a)

(-3, -25)

b)

(3,-7)

c)

(11, 17)

d)

(21, 47)

124.

Which of the following shows the solution to the system?
y= -1/4x + 4
y = 2x + 2

a)

A

b)

B

c)

C

d)

D

125.

Solve the system using any method.
−4x − 4y = 0
4x + 4y = 0

a)

(−6, −4)

b)

Infinite number of solutions

c)

No solutions

d)

(6, 4)

126.

Solve by elimination:
3x+7y=23

-3x-7y=-17

a)

No solution

b)

ARN

c)

(-3,3)

d)

(3,3)

127.

What type of function is f(x)=2(1/7)^x ?

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

128.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

129.

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

a)

y=6(0.14)^x

b)

y=6(1+14)^x

c)

y=6(1.14)^x

d)

y=6(0.86)^x

130.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

c)

Linear

d)

None of the above

131.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

132.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

133.

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

134.

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

135.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

136.

Is the pictured graph growth, decay, or linear or none?

a)

Growth

b)

Decay

c)

Linear

d)

None

137.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

138.

Simplify the following exponential expression:
(3x⁴)(5x³)

a)

15x¹²

b)

8x⁷

c)

8x¹²

d)

15x⁷

139.

Simplify the exponential expression.

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

140.

What is the equation that best represents the graph?

a)

y=2^y

b)

y=2^x

c)

y=2^-x

d)

y=x²

141.

Classify
f(x)=-3(1.75)^x-4+6

a)

Exponential Growth

b)

Exponential Decay

142.

Classify
f(x)=4/5(.8)^x-9

a)

Exponential Growth

b)

Exponential Decay

143.

a)

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

b)

$-3\left(\frac{1}{3}\right)^x+2$

c)

$-3\left(3\right)^x-2$

d)

$-3\left(\frac{1}{3}\right)^x-2$

144.

a)

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

b)

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

c)

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

d)

$3\left(\frac{1}{4}\right)^x+2$

145.

a)

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

b)

$y=4^x-2$

c)

$y=-4^x-2$

d)

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

146.

What is the value of (-2)^3?

a)

-8

b)

-6

c)

6

d)

8

147.

1.) Simplify
(2a²b⁴z)(6a³b²z⁵)

a)

8a⁵b⁶z⁶

b)

12a⁶b⁸z⁵

c)

12a⁵b⁶z⁶

d)

8a⁶b⁸z⁵

148.

Evaluate the expression using the Same Base, Division rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

149.

a)

A

b)

B

c)

C

d)

D

150.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

151.

Which of the expressions are equivalent to x⁶?

a)

only A and B

b)

only A and C

c)

only A, C and D

d)

All of the expressions

152.

a)

A

b)

B

c)

C

d)

D

153.

Simplify.

a)

A

b)

B

c)

C

d)

D

154.

Find the sum.
(3 - 2x + 2x²) + (4x - 5 + 3x²)

a)

7x - 7x + 5x²

b)

5x²+ 2x - 2

c)

5x²

d)

5x² + 6x + 8

155.

a)

A

b)

B

c)

C

d)

D

156.

a)

A

b)

B

c)

C

d)

D

157.

a)

A

b)

B

c)

C

d)

D

158.

a)

A

b)

B

c)

C

d)

D

159.

a)

A

b)

B

c)

C

d)

D

160.

4k²(6k² + 9kq - 5q²)

a)

24k² + 36k³q - 20k²q²

b)

24k⁴ + 36kq - 20k²q²

c)

24k⁴ + 36k³q - 20k²q²

d)

24k + 36 kq - 20 k²q

161.

What is the area of this rectangle?
(HINT: AREA=LENTH X WIDTH)

a)

10x-4

b)

25x²-20x

c)

20x-16

d)

oooo look at the pretty bird!

162.

What is the perimeter of this rectangle?

a)

10x-4

b)

25x²-20x

c)

20x-8

d)

25x²-10x+4

163.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

164.

Is this expression a polynomial?

NOTE - A variable is in the denominator of the expression.

a)

Yes, it is a polynomial.

b)

No, it is not a polynomial

165.

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

166.

Classify by the DEGREE:
3x - 2

a)

1

b)

2

c)

3

d)

4

167.

What is the value of the constant?
2x² + 4x − 5

a)

2

b)

4

c)

5

d)

−5

168.

What is the coefficient of y:
4 - 2y

a)

2

b)

4

c)

-2

d)

0

169.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

170.

Is $y=\ \frac{2}{3}x^5-3x^4+8x^2-16$ a polynomial?

a)

Yes, and the degree is 5 with leading coefficient 2/3.

b)

No

171.

Is $y=\sqrt{x^3-7x^2+8x-1}$ a polynomial?

a)

Yes, with degree 3 and leading coefficient 1.

b)

No, this is a square root of a polynomial, but not a polynomial.

172.

Which form is this polynomial?

f(x) = x⁵ + 6x⁴ - x³ + 3x² +5x - 10

a)

Standard form

b)

Factored form

173.

Factor out the GCF:
9x⁴y - 24x²

a)

9x²y(x² - 3)

b)

3x³(3xy - 8)

c)

3x²(3x²y - 8)

d)

x²(9x²y - 24)

174.

Factor by grouping:
20x² - 16x - 25x +20

a)

(20x - 5)(x - 4)

b)

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

c)

(5x - 4)(4x - 5)

d)

(5x + 4)(4x - 5)

175.

Factor the trinomial:
x² - 4x - 12

a)

(x - 6)(x - 2)

b)

(x - 8)(x + 2)

c)

(x - 6)(x + 2)

d)

(x + 6)(x - 2)

176.

Factor the trinomial:
x² - 6x + 9

a)

(x + 3)²

b)

(x + 3)(x - 3)

c)

(x - 9)(x - 3)

d)

(x - 3)²

177.

Factor the binomial:
9x² - 25

a)

(3x - 5)(3x + 5)

b)

(3x - 5)(3x - 5)

c)

(3x + 5)(3x + 5)

d)

(9x + 5)(x - 5)

178.

Factor the trinomial:
7x² + 4x - 3

a)

(7x - 1)(x + 3)

b)

(7x + 1)(x - 3)

c)

(7x + 3)(x - 1)

d)

(7x - 3)(x + 1)

179.

Factor the trinomial:
x² - 13x +12

a)

(x - 12)(x - 1)

b)

(x - 12)(x + 1)

c)

(x - 6)(x - 2)

d)

(x - 4)(x - 3)

180.

Factor the binomial:
x² - 144

a)

(x + 12)(x + 12)

b)

(x - 12)(x - 12)

c)

(x + 12)(x - 12)

d)

(x - 16)(x + 9)

181.

Factor out the GCF:
12x²y⁵ - 18xy⁷

a)

2xy⁵(6x - 9y²)

b)

3y⁵(4x² - 6xy²)

c)

xy⁵(12x - 18y⁵)

d)

6xy⁵(2x - 3y²)

182.

Factor the trinomial completely:
3x² + 15x + 12

a)

(3x + 4)(x + 3)

b)

(3x + 6)(x + 2)

c)

3(x + 4)(x + 1)

d)

3(x² + 5x + 4)

183.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

184.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

185.

Find the y-intercept of f(x) = 2x²- 2x + 1

a)

2

b)

-2

c)

1

d)

-1

186.

Does y = -4x² have a maximum or minimum value?

a)

maximum

b)

minimum

187.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

188.

Determine the vertex of the parabola:
y = 5x²- 20x + 13

a)

(5, -7)

b)

(-2, -7)

c)

(2, -7)

d)

(-7, -2)

189.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

190.

The axis of symmetry line passes through which point?

a)

y-intercept

b)

any random point

c)

vertex

d)

none of these

191.

Select the answer that has a, b, and c correctly labeled:

y=-x^2+2x-9

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

192.

What is the equation of the line of symmetry for this quadratic function?

a)

x = -3

b)

x= .5

c)

x = 4

d)

x = -12

193.

Which direction will this parabola open?

y=2x^2+8x-16

a)

upwards

b)

downwards

194.

What form is this equation written in?

y=-x^2+6x+7

a)

standard form

b)

vertex form

c)

factored form

d)

slope-intercept form

195.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

196.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

197.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

198.

Factor:

5x³- 7x²

a)

x²(5x - 7)

b)

x(5x²- 7x)

c)

x³(5 - 7x)

d)

Prime

199.

Factor: 25x²- 9

a)

(5x + 3)(5x - 3)

b)

(x + 5)(x - 3)

c)

(x - 3)(x + 5)

d)

(5x + 3)(3x + 5)

200.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

201.

Factor:
x² - 10x + 24

a)

(x - 6)(x - 4)

b)

(x + 6)(x + 4)

c)

(x - 12)(x + 2)

d)

(x - 8)(x - 3)

202.

Factor:
24c⁵ - 12c³

a)

6(4c⁵ - 2c³)

b)

12c³(2c²)

c)

12c³(2c² - 1)

d)

12c³(2c² - 0)

203.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

204.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

205.

The equation for the axis of symmetry line is

x=\frac{-b}{2a}

a)

true

b)

false

206.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

207.

Does the equation have a max or min?
y = 2x² + 7x + 5

a)

max

b)

min

208.

What is vertex of the quadratic function x²+4x-21?

a)

(4, -21)

b)

(-2,-25)

c)

(2, -21)

d)

(4, -25)

209.

Find the Vertex:
y = x² + 6x + 2

a)

(-3,-7)

b)

(1,6)

c)

(6,2)

d)

No Real Solution

210.

What is vertex of the quadratic function x²+4x-21?

a)

(4, -21)

b)

(-2,-25)

c)

(2, -21)

d)

(4, -25)

Ch. 1-8.3 (Algebra)

Total questions: 210

Worksheet time: 10hrs 53mins

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