Free Printable IV Homework Make-up

1.

Perform the operation. Express you final answer in standard form!

a)

$-2x^2+11x-14$

b)

$12x^2+11x-4$

c)

$2x^2+11x+14$

d)

$2x^2+11x-4$

2.

Perform the operation. Express your answer in standard form.

a)

$6t^4-11t^2+7$

b)

$8t^4-t^2+15$

c)

$6t^4-t^2+15$

d)

$8t^4-11t^2+7$

3.

Perform the operation. State all answers in standard form.

a)

$-21x^2-14x-6$

b)

$-21x^2-26x-8$

c)

$-21x^2-2x-12$

d)

$-21x^2+2x-8$

4.

Perform the operations. State your final answer in standard form. State any restrictions in the domain.

a)

$\frac{7x+4}{-3x-2};\ x\ne\frac{3}{2}$

b)

$\frac{7x+4}{-3x-2};\ x\ne\frac{2}{-3}$

c)

$\frac{7x+4}{-3x-2};\ x\ne\frac{3}{-2}$

d)

$\frac{7x+4}{-3x-2};\ x\ne\frac{-2}{3}$

5.

Perform the operations.

a)

14

b)

36

c)

28

d)

21

6.

Perform the operations.

a)

43

b)

102

c)

56

d)

78

7.

If $h\left(x\right)=2x^3-4x^2+6$ , then find h(4).

a)

70

b)

262

c)

225

d)

74

8.

Using f(x) = 8x + 5 and g(x) - 7x -2, if you were asked to find f(g(4)) which would you perform first?

a)

g(4)

b)

f(4)

9.

Using f(x) = 8x + 5 and g(x) = 7x - 2,

Find f(g(4))

a)

213

b)

229

c)

257

d)

208

10.

Using f(x) = 6x + 2 and g(x) = x - 5,

Find f(g(7)).

(a)

11.

Using f(x) = 6x + 2 and g(x) = x - 5,

Find f(f(-2)).

(a)

12.

Using f(x) = 7x + 4 and g(x) = 2x - 4,

Find g(f(4)).

(a)

13.

Using f(x) = 7x + 4 and g(x) = 2x - 4,

Find g(g(-1))

(a)

14.

Using f(x) = 5x + 4 and g(x) = x - 3,

Find g(f(x)).

a)

5x + 1

b)

5x - 15

c)

5x - 11

d)

5x + 7

15.

Using f(x) = 4x + 3 and g(x) = x - 2,

Find f(g(x)).

a)

4x - 5

b)

4x - 11

c)

4x + 1

d)

4x + 5

16.

Using f(x) = 8x and g(x) = 4x + 2,

Find (g°g)(x).

Do not put any spaces in your answer

(a)

17.

are these inverse functions?

a)

no

b)

yes

c)

no way to tell

18.

Find the inverse of f(x) = -4x - 12

a)

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

b)

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

c)

f^-1(x) = 1/4x + 3

d)

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

19.

Which graph is the inverse of the graph shown?

a)

b)

c)

d)

20.

If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?

a)

7

b)

-2

c)

-9

d)

-10

21.

What is f(2) + g(-1)?

a)

-3

b)

7

c)

3

d)

-10

22.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left[g\circ f\right]\left(x\right).$

a)

$-3x+1$

b)

$4x^2-7$

c)

$-2x^2+3$

d)

$5x^2+6$

23.

f(x) = 3x + 10
g(x) = x - 2
Find f(g(5))

(a)

24.

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

a)

11x² - 1

b)

5x⁴ + 6x² - 1

c)

5x² + 6x - 1

d)

5x² + 8x - 1

25.

Given g(x) = -2x+2 and f(x) = 3x²+4, find (g + f)(-1).

(a)

26.

f\left(x\right)=x+2\ \ \ and\ \ \ \ g\left(x\right)=2x^2-2x

Find\ \left(f-g\right)\left(x\right)

a)

$3x^3+2$

b)

$2x^2+3x+2$

c)

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

d)

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

27.

$g\left(x\right)=3x+3$ $h\left(x\right)=4x+5$ $Find\ g\left(3\right)-h\left(3\right)$

(a)

28.

g\left(n\right)=x^2+2x\ +\ 4

and

h\left(n\right)=3x-2

Find\ \left(h\cdot g\right)\left(x\right)

a)

$3x^3+8x^2+16x\ +\ 8$

b)

$x^2+5x\ +2$

c)

$3x^3+4x^2+8x-\ 8$

d)

$3x^3+4x^2-12x\ -\ 8$

29.

g\left(n\right)=n^2+4+2n

and

h\left(n\right)=-3n+2

Find\ \left(g\cdot h\right)\left(1\right)

a)

-7

b)

-5

c)

0

d)

35

30.

$h\left(x\right)=3x+3$ and $g\left(x\right)=-4x+1$ $Find\ \left(h+g\right)\left(0\right)$

(a)

31.

$g\left(x\right)=x+2$ and $f\left(x\right)=x^2+9x+14$

$Find\ \left(\frac{f}{g}\right)\left(x\right)$

a)

$x+7$

b)

$x^2-2x-12$

c)

$x+2$

d)

$2x+9$

32.

$g\left(a\right)=3a+2$ and $f\left(a\right)=9a-4$ $Find\ \left(\frac{g}{f}\right)\left(1\right)$

a)

0

b)

2

c)

3

d)

1

33.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(f\circ g\right)\left(2\right)$

a)

$\frac{1}{4}$

b)

$\frac{1}{8}$

c)

$\frac{7}{2}$

d)

8

34.

If $f\left(x\right)=\frac{1}{x}$ and $g\left(x\right)=3x+2$ find $\left(g\circ f\right)\left(x\right)$

a)

$\frac{1}{3x}+2$

b)

$3x+2$

c)

$\frac{3}{x}+2$

d)

$\frac{1}{3x+2}$

35.

If $f\left(x\right)=x^2-1$ and $g\left(x\right)=4x-3,$ find $\left[f\circ g\right]\left(3\right).$

a)

$43$

b)

$91$

c)

$80$

d)

$26$

36.

If $f\left(x\right)=-2x+3$ and $g\left(x\right)=-3x+2,$ find $f\left[g\left(x\right)\right].$

a)

$-x+1$

b)

$-2x^2$

c)

$6x-1$

d)

$5x+7$

37.

$Find\ f\left(g\left(3\right)\right).$

(a)

38.

Find\ g\left(f\left(4\right)\right).

a)

$4$

b)

$6$

c)

$8$

d)

$10$

39.

$f\left(g\left(-5\right)\right)$

a)

1

b)

3

c)

2

d)

-5

40.

$g\left(f\left(-1\right)\right)$

(a)

41.

$f\left(g\left(4\right)\right)$

(a)

42.

What is g(7) if:

a)

-17

b)

-13

c)

13

d)

17

43.

Which graph matches:

-x+4 if x < 2

2x-6 if x ≥ 2

a)

A

b)

B

c)

C

d)

D

44.

What is m(-3) if:

a)

-3

b)

0.5

c)

3

d)

-3.5

45.

How many "pieces" are graphed in this function?

a)

1

b)

2

c)

3

d)

4

46.

When x is less than or equal to 2, what equation is shown in the graph?

a)

f(x) = 3

b)

f(x) = x

c)

f(x) = | x |

d)

f(x) = | x - 1 |

47.

Using the pictured graph, what is f(-3)?

a)

-3

b)

-1

c)

1

d)

3

48.

What are the domain restrictions for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

49.

Find x if y = 1

a)

x = -1

b)

x = 0

c)

-2 < x < 1

d)

x = -3 or x = 2

50.

What is f(-2)?

a)

4

b)

1

c)

1

d)

DNE

51.

What is f when x equals 4?

a)

-5

b)

0

c)

3

d)

6

52.

On the graph, which portion of the piecewise function is represented in red?

a)

x

b)

0.5x + 2.5

c)

-1

d)

0.5x + 2

53.

Find f(0)

a)

-3

b)

18

c)

4

d)

0

54.

What is the value of f(0)?

a)

-2

b)

2

c)

4

d)

0

55.

What are the domain restrictions for the middle piece of this function?

a)

x ≥ 1

b)

x ≥ 2

c)

2 ≤ x < 6

d)

1 ≤ x < 3

56.

Evaluate the function when x = 6

a)

f(6) = -5

b)

f(6) = 4

c)

f(6) = 2

d)

f(6) = 7

57.

a)

$12.75

b)

$35

c)

$43.40

d)

$27.75

58.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

59.

Find f(2)

a)

f(2) = 0

b)

f(2) = 1

c)

f(2) = 3

d)

f(2) = 4

60.

What is the vertex of the absolute value function $f\left(x\right)=2\left|x+1\right|-3$ ?

a)

(-1,-3)

b)

(1,-3)

c)

(2,1)

d)

(2,3)

61.

At what approximate time did d=22 miles ?

a)

1.47 hours

b)

7.5 hours

c)

2 hours

d)

3 hours

62.

Write an absolute value function given the following transformations from the parent function:

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)

$y=-|x-2|+7$

63.

The equation of the red piece is y = 1. What is the domain of the red piece?

a)

x > –1

b)

x < –1

c)

x < –1 or x > 1

d)

–1 < x < 1

64.

What is the equation of the absolute value function?

a)

f(x)= |x+4|

b)

f(x)= |x-4|

c)

f(x)= |x| + 4

d)

f(x)= |x| - 4

65.

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

a)

A

b)

B

c)

C

d)

D

66.

How much does it cost to rent the Karaoke machine for 3 days?

a)

$50

b)

$100

c)

$150

d)

$175

67.

What are the x-intercepts of the function?

a)

$\left(2,0\right)$

b)

$\left(0,2\right)$

c)

$\left(0,4\right)$

d)

$\left(4,0\right)$

68.

What is the value of $f\left(-5\right)$ ?

a)

-4

b)

8

c)

-2

d)

0

69.

What is the value of $f\left(-3\right)+f\left(6\right)$ ?

a)

-4

b)

8

c)

-2

d)

0

70.

What is the vertex of $f\left(x\right)=-\left|x-3\right|$ ?

a)

(-1,-3)

b)

(-1,0)

c)

(-3,0)

d)

(3,0)

71.

y = |x - 3| makes the parent graph shift:

a)

left 3

b)

right 3

c)

up 3

d)

down 3

72.

What is the RANGE of the function?

a)

All real numbers

b)

y ≤ 4

c)

y < 4

d)

0 ≤ y ≤ 4

73.

How many pieces is this Piecewise Function composed of?

a)

1

b)

2

c)

3

d)

4

74.

Does this graph have a minimum or maximum? What point?

a)

Minimum at (0, 0)

b)

Minimum at (0, 2)

c)

Maximum at (0, 0)

d)

Maximum at (0, 2)

75.

Functions that are made up of distinct "pieces" of other functions defined over different intervals are called

a)

Absolute Value Functions

b)

Piecewise Functions

c)

Exponential Functions

d)

Quadratic Functions

76.

Find f(1)

a)

f(1) = -3

b)

f(1) = 2

c)

f(1) = -1

d)

f(1) = 3

77.

Does this graph have a minimum or maximum? What point?

a)

minimum at (-3, -5)

b)

minimum at (3, 5)

c)

maximum at (-3, -5)

d)

maximum at (3, 5)

78.

Select the correct graph for the following piecewise function.

a)

b)

c)

d)

79.

Is this a function? Explain.

a)

No. Does not pass the vertical line test.

b)

No. Does not pass the horizontal line test.

c)

Yes. Passes the vertical line test.

d)

Yes. Passes the horizontal line test.

80.

Evaluate $f\left(x\right)$ for $x=-9$ and $x=5$

a)

$f\left(-9\right)=0,\ f\left(5\right)=15$

b)

$f\left(-9\right)=0,\ f\left(5\right)=-6$

c)

$f\left(-9\right)=15,\ f\left(5\right)=0$

d)

$f\left(-9\right)=15,\ f\left(5\right)=-6$

81.

What is f(-1)?

a)

6

b)

-2

c)

sqrt(2)

d)

DNE

82.

Rewrite log_pt = m in exponential form.

a)

p^t = m

b)

t^m = p

c)

m^t = p

d)

p^m = t

83.

log₅25 = ?

a)

2

b)

5

c)

125

d)

10

84.

Evaluate log₄1

a)

1

b)

0

c)

4

d)

undefined

85.

log(A+B) = logA + logB

a)

True

b)

False

86.

Use multiple log properties to write as a single log:
3log₂x - log₂y + log₂z

a)

log₂(x/(yz))

b)

log₂(x³yz)

c)

log₂(x³z/y)

d)

log₂(x³/(yz))

87.

Expand completely: log(2x⁵)

a)

log 2 + 5log x

b)

5log 2 + 5log x

c)

5log 2 + log x

d)

log 10 + log x

88.

Is this exponential growth or decay?

a)

Growth

b)

Decay

89.

What is the equation that represents the exponential function in the image below?

a)

y=3(½)^x

b)

y=3(2)^x

c)

y=(2)^x

d)

y=2(3)^x

90.

Evaluate log₈ 8

a)

8

b)

-1

c)

0

d)

1

91.

Find the domain and range of:
f(x) = log₂(x)

a)

D: all real numbers
R: y > 0

b)

Domain: all real numbers
Range: all real numbers

c)

Domain: x > 0
Range: all real numbers

d)

Domain: all real numbers
Range: y < 0

92.

Expand:

a)

b)

c)

d)

93.

Solve for x:

2(3)^x+1 = 36

a)

b)

c)

d)

94.

Using the parent function y=3^x what would the graph of y=3^x+1 look like?

a)

Horizontal shift left one unit

b)

Horizontal shift right one unit

c)

Vertical shift up one unit

d)

Vertical shift down one unit

95.

Write the expression as a single logarithm. Then simplify if possible.
log₅3 + log₅6 + log₅9

a)

log₅69

b)

log₅56

c)

log₅162

d)

log₅98

96.

Condense

a)

A

b)

B

c)

C

d)

D

97.

a)

6log₈(xyz)

b)

log₈(x) - log₈(y) - 6log₈(z)

c)

log₈(x) + log₈(y) - log₈(z)

d)

log₈(x) + log₈(y) + 6log₈(z)

98.

a)

log(x) + log(z) + 4log(y)

b)

3log(x) − log(z) − 4log(y)

c)

3log(x) + log(z) + 4log(y)

d)

log(x) − 4log(z) − 3log(y)

99.

a)

log₅(x²z²y¹⁰)

b)

log₅(z²y²x¹⁰)

c)

log(zy²x¹⁰)

d)

log₅(z² + y²+ x¹⁰)

100.

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

a)

Exponential Growth

b)

Linear

c)

Exponential Decay

d)

None of the Abovee

101.

Solve:
_{log (4x − 5) = log (2x − 1)}

a)

0

b)

1

c)

2

d)

3

102.

Logarithms and Exponentials are what?

a)

parallel

b)

perpendiular

c)

inverses

d)

congurent

103.

Match the graph with its equation

a)

y = log₆(-x) + 1

b)

y = log₆(x − 2) + 1

c)

y = log₆(x + 2) - 1

d)

y = log(x-8) + 1

104.

Match the graph with its equation

a)

y = log₅ (x + 1) + 1

b)

y = log₅ (x - 1) + 1

c)

y = log₅ (x²) + 1

d)

y = log₅ (x)-1

105.

What is the range of log(x)?

a)

(-2, 4)

b)

(-∞, ∞)

c)

(-∞, 0)

d)

Cucumber

106.

What is the domain of log(x)?

a)

(-∞, ∞)

b)

[0, ∞)

c)

(0, ∞)

d)

Pickle

107.

What is the Asymptote?

a)

x=5

b)

x=0

c)

y=0

d)

x=1

108.

What are the transformations of this graph?

a)

Right 1 Up 5

b)

Right 1 Down 5

c)

Left 1 Up 5

d)

Left 1 Down 5

109.

What is the equation of the asymptote?

a)

x = -3

b)

x=3

c)

y= -3

d)

y=5

110.

log₄1 =

a)

0

b)

1

c)

4

d)

DNE

111.

Classify the following graph.

a)

Exponential Growth

b)

Exponential Decay

c)

Logarithmic

112.

What is the domain?

a)

(-∞, ∞)

b)

(0, ∞)

c)

[1, ∞)

d)

(1, ∞)

113.

Where is the asymptote?

a)

x = 1

b)

y = 1

c)

x = -1

d)

y = -1

114.

Describe the transformations of f(x)= -log₂(x+1)

a)

left 1

b)

left one & reflected over the y-axis

c)

left one & reflected over the x-axis

d)

right one & reflected over the x axis

115.

What is the x-intercept of log₇(x)?

a)

Pizza

b)

-1

c)

0

d)

1

116.

Exponential functions have ____________ asymptotes.

a)

horizontal

b)

vertical

c)

diagonal

117.

Exponential functions have a restricted ______________.

a)

domain

b)

range

118.

Logarithmic functions have a restricted _____________.

a)

domain

b)

range

119.

Solve for x.

$11^x=74$

a)

4.8816

b)

1.7949

c)

1.8692

d)

4.3041

120.

Solve for x.

$3^{\left(x-7\right)}-3=24$

a)

3

b)

8

c)

10

d)

No solution

121.

Solve the following exponential equation:
$5^{-3x}=125$

a)

$x=-1$

b)

$x=-4$

c)

$x=-3$

d)

$x=1$

122.

7ⁿ⁺¹⁰- 8 = 6

a)

-7.374

b)

-8.643

c)

-7.360

d)

-8.853

123.

log(x+6) = 1

a)

4

b)

4.222

c)

-5

d)

-9.550

124.

Solve for x:

5 e^x= 1.5

a)

1.3

b)

0.23

c)

-3.07

d)

-1.6

125.

log₂(x+3)=4

a)

16

b)

13

c)

3

d)

10

126.

log₈(4x+4)=2

a)

15

b)

12

c)

10

d)

3

127.

log₆(2x + 3) = 3

a)

x = 106.5

b)

x = 100

c)

x = 16

d)

x = 50

128.

Solve.
e^4x=12

a)

2.48

b)

9.94

c)

0.62

d)

3

129.

Write the equation in logarithmic form.
$e^3=x$

a)

$\ln x=3$

b)

$\ln3=x$

130.

Write the equation in logarithmic form.
$e^x=36$

a)

$\ln36=x$

b)

$\ln x=36$

131.

Write the equation in logarithmic form.
$e^{\left(x-9\right)}=74$

a)

$\ln\left(x-9\right)=74$

b)

$x-9=\ln74$

132.

Write the equation in exponential form.
$\ln53=x$

a)

$e^{53}=x$

b)

$e^x=53$

133.

Write the equation in exponential form.
$\ln x=18$

a)

$x^{18}=e$

b)

$e^{18}=x$

134.

Write the equation in exponential form.
$\ln87=x+4$

a)

$e^{\left(x+4\right)}=87$

b)

$e^{87}=x+4$

135.

Condense the expression as a single logarithm.

$\ln4+\ln3x$

a)

$\ln7x$

b)

$\ln\left(3x\right)^4$

c)

$\ln12x$

136.

Condense the expression as a single logarithm.

$\frac{1}{2}\cdot\ln256-3\cdot\ln2$

a)

$\ln128$

b)

$\ln8$

c)

$\ln32$

d)

$\ln2$

137.

Condense the expression as a single logarithm.

$7\cdot\ln a-4\cdot\ln b$

a)

$\ln\ \frac{a^7}{b^4}$

b)

$\frac{7}{4}\ln\ \frac{a}{b}$

c)

$\ln\left(ab\right)^3$

d)

$\ln\left(ab\right)^{11}$

138.

Expand the logarithmic expression.

$\ln\left(2m^8\right)$

a)

$\ln2+\ln m^8$

b)

$\ln2-8\ln m$

c)

$\ln\ \frac{2}{m^8}$

d)

$\ln2+8\ln m$

139.

Expand the logarithmic expression.

$\ln\left(\frac{m^5}{n^2}\right)^3$

a)

$\ln\left(\frac{m^{15}}{n^6}\right)$

b)

$15\cdot\ln m-6\cdot\ln n$

c)

$15\cdot\ln m+6\cdot\ln n$

d)

$\ln m^{15}-\ln n^6$

140.

Expand the logarithmic expression.

$\ln\sqrt{r^8s^5}$

a)

$\ln r^4s^{\frac{5}{2}}$

b)

$\ln r^8+\ln s^{\frac{5}{2}}$

c)

$4\cdot\ln r+\frac{5}{2}\ln s$

d)

$4\cdot\ln r-\frac{5}{2}\ln s$

141.

True/False: $\log_e\ x=\ln x$

a)

True

b)

False

142.

Use a calculator and/or desmos.com and round the irrational number $e$ to ten decimal places.

(a)

143.

Solve the equation. Round your answer to four decimal places.
$3e^x+1=5$
$x=$ (a)

144.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

145.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

146.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

147.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

148.

Using the change of base rule, what is this logarithm equivalent to?

a)

A

b)

B

c)

C

d)

D

149.

Use the change of base rule to rewrite this problem:

log₃64

a)

log(64)/log(3)

b)

log(3)/log(64)

150.

Use the change of base rule to rewrite this problem:

log₅75

a)

log(75)/log(5)

b)

log(5)/log(75)

151.

Use the change of base rule to rewrite this problem:

log₆216

a)

log(6)/log(216)

b)

log(216)/log(6)

152.

I = Prt where r represents the rate. Rates must be converted into ____ before multiplying.

a)

fractions

b)

mixed numbers

c)

decimals

d)

integers

153.

What is the formula for simple interest?

a)

A=P(1+r)^t

b)

I=Prt

c)

I=P(1+r)t

d)

A=Prt

154.

If you are calculating the simple interest and you are given the time in months. How can you find the time in years?

a)

divide 12 by the months

b)

multiply 12 times the months

c)

divide the months by 12

d)

change the months to a decimal

155.

The simple interest formula is I=Prt. The P represents the principle. The principle is ___________________.

a)

the amount of money borrowed or deposited

b)

the amount taxed

c)

the percent interest for this year

d)

the amount the bank owes you for being a customer at their bank

156.

3x² - 15x + 18

a)

3(x-2) (x-3)

b)

(3x-6) (x-3)

c)

(3x-9) (x-2)

d)

PRIME

157.

4x² + 8x - 60

a)

(4x-12) (x+5)

b)

(4x+20) (x-3)

c)

4(x-3) (x+5)

d)

PRIME

158.

8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3) (2x-3)

c)

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

d)

PRIME

159.

15m² -10m - 25

a)

5(m+1) (3m-5)

b)

(3m-5) (5m+5)

c)

5(3m²-2m-5)

d)

PRIME

160.

50m³ - 2m

a)

2m(25m²-1)

b)

2m(5m-1) (5m-1)

c)

2m(5m-1) (5m+1)

d)

PRIME

161.

6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

162.

4x² + 8x - 60

a)

(4x-12) (x+5)

b)

(4x+20) (x-3)

c)

4(x-3) (x+5)

d)

PRIME

163.

8x³ - 18x

a)

2x(4x²-9)

b)

(4x²+3) (2x-3)

c)

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

d)

PRIME

164.

Factor the following expression:
$2x^2+12x-54$

a)

$\left(x-6\right)\left(x-10\right)$

b)

$2\left(x-9\right)\left(x+3\right)$

c)

$2\left(x+9\right)\left(x-3\right)$

d)

Not Factorable

165.

Factor the following expression:
$4n^2+20n-24$

a)

$4\left(n-1\right)\left(n+6\right)$

b)

$4\left(n-1\right)\left(n-6\right)$

c)

$n\left(n-9\right)$

d)

$\left(n+3\right)\left(n-3\right)$

166.

Factor the following expression:
$3p^2-39p+90$

a)

$3\left(p-10\right)\left(p-3\right)$

b)

$3\left(p+10\right)\left(p+3\right)$

c)

$3\left(p-10\right)\left(p+3\right)$

d)

$p\left(p-4\right)$

167.

Factor the following expression:
$48x^2+24x+3$

a)

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

b)

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

c)

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

d)

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

168.

Factor the following expression:
$2m^2-18$

a)

$2\left(m+3\right)\left(m-3\right)$

b)

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

c)

$2\left(4m+5\right)\left(4m-5\right)$

d)

$2\left(5m+2\right)\left(5m-2\right)$

169.

Factor the following expression:
$5x^2-15x-20$

a)

$5\left(x-4\right)\left(x+1\right)$

b)

$\left(x-4\right)\left(x+1\right)$

c)

$5\left(x-4\right)\left(x-1\right)$

d)

$\left(x-1\right)\left(x-8\right)$

170.

Factor completely:
-8x² + 10x + 3

a)

(2x - 3) (-4x - 1)

b)

-1 (2x - 3) (4x + 1)

c)

-1 (-2x + 3) (4x + 1)

d)

(-2x + 3) (4x + 1)

171.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

172.

What is the domain of the function graphed?

a)

x < 5

b)

x ≥ 1

c)

x > 0

d)

All real numbers

173.

What is the range of the graph?

a)

(-∞,∞)

b)

[-1,0]

c)

[-1,3]

d)

[3,∞)

174.

e^ln(f)

a)

f

b)

e

c)

e^f

d)

undefined

175.

Factor
3x⁴- 12xy

a)

x(3x³-12y)

b)

3x(x³- 4y)

176.

Factor 4b⁵ + 4b³ + 16b².

a)

4b²(b³ + b + 4)

b)

4(b⁵ + b³ + 4b²)

c)

4b³(b⁴ + 4b + 5)

d)

4b³(b⁴ + b² + 4b)

177.

w⁴ - 625

a)

(w² + 25) (w² - 25)

b)

(w² - 25) (w² - 25)

c)

(w²+ 25) (w+5) (w-5)

d)

(w+25)(w-25)

178.

x⁴ - 100y²

a)

(x² + 10y) (x² - 10y)

b)

(x + 10y) (x - 10y)

c)

(x + 10y) (x³ - 10y)

d)

(x³ + 10y) (x - 10y)

179.

Factor: x³+ 1

a)

(x + 1)³

b)

(x+1)(x²- x + 1)

c)

(x - 1) (x² + x - 1)

d)

(x + 1)(x² - 2x + 1)

180.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

181.

Factor completely:

5n³-10n²+3n-6

a)

(5n²+3)(n-2)

b)

(5n²-3)(n-2)

c)

(5n³+3)(n-2)

d)

10n(n²-6)

182.

Solve the following:
-8 + (15-3) ÷ 4

a)

-5

b)

1

c)

-11

d)

11

183.

91 + 27 ÷ (72 ÷ 24)

a)

100

b)

96

c)

90

d)

127

184.

Solve the following:
-2 x (3 + 8 ÷ 4)²

a)

-16

b)

1.375

c)

4

d)

-50

185.

Simplify:
[25-(13+4)+4] ÷ 3

a)

6

b)

2

c)

3

d)

4

186.

2x + 5(y - 1) when x=8 and y=5

a)

20

b)

31

c)

36

d)

-4

187.

Find the sum:
4/5 + 7/8

a)

11/13

b)

67/80

c)

67/40

188.

Find the difference:
9/5 - 4/3

a)

47/15

b)

7/15

c)

5/2

189.

What is the quotient of these fractions in lowest terms?

a)

6/40

b)

6/10

c)

3/5

d)

12/20

190.

Divide:
$\frac{\left(6x+9\right)}{3x}$

a)

$2+\frac{3}{x}$

b)

$2+9$

c)

$2+\frac{9}{3}$

d)

$2+3x$

191.

Determine the y-intercept
f(x) = x³ - 5x² - 25x + 125

a)

(0,0)

b)

(0,25)

c)

(0,125)

d)

(0,5)

192.

Is this polynomial ODD or EVEN?

f(x) = -7x³ + 11x⁵ - 4x⁶ + 113x

a)

ODD

b)

EVEN

193.

Use the Rational Root Theorem to determine the list of possible rational roots.

a)

A

b)

B

c)

C

d)

D

194.

Which of the following is NOT a solution to f(x)=3x(x-8)(2x+1)²?

a)

0

b)

-1/2

c)

1/2

d)

8

195.

Describe the type of polynomial shown.

a)

Even degree, negative leading coefficient

b)

Even Function

c)

Odd degree, negative leading coefficient

d)

Even degree, positive leading coefficient

196.

$21=3+4n+5n$

a)

9

b)

$-7$

c)

6

d)

2

197.

Solve for v.

a)

60

b)

-3

c)

15

d)

3

198.

Solve for x
l 2x−1 l +4 = 8

a)

x = 2.5 and x = -1.5

b)

x = 2 and x = -1

c)

x = -2 and x = 9

d)

No Solution

199.

Solve for x
| m - 2 | < 8

a)

9 > m > 8

b)

2 < m < -6

c)

-6 < m < 10

d)

0 > m < 0

200.

Solve for x
∣ -2x + 9 ∣ > 15

a)

x<-3 or x>12

b)

-3 < x < 12

c)

x<-3 and x>12

d)

-3 < x > 12

201.

Solve for x
| 6 - 2x | = -5

a)

11/2, 1/2

b)

-5, 5

c)

1, 3

d)

⊘ No solution

IV Homework Make-up

Total questions: 201

Worksheet time: 9hrs 26mins

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