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CPM CCA Final Assessment

Total questions: 156

Worksheet time: 3hrs 39mins

Name
Class
Date
1.

Simplify:

x2(x4)2x^2\cdot\left(x^4\right)^{-2}  

a)

1x5\frac{1}{x^5}  

b)

x10x^{10}  

c)

x10-x^{10}  

d)

1x4\frac{1}{x^4}  

2.

Simplify:

x3x0x^{-3}\cdot x^0  

a)

1

b)

0

c)

x3-x^3  

d)

1x3\frac{1}{x^3}  

3.

Simplify:

12m86m3\frac{12m^8}{6m^{-3}}  

a)

6m116m^{11}  

b)

6m56m^5  

c)

2m112m^{11}  

d)

2m52m^5  

4.

Simplify:

(x3y2)3\left(x^3y^2\right)^3  

a)

x9y6x^9y^6  

b)

x6y5x^6y^5  

c)

xy11xy^{11}  

d)

x27y8x^{27}y^8  

5.

Simplify:

(3a)4\left(3a\right)^4  

a)

3a43a^4  

b)

81a481a^4  

c)

12a412a^4  

d)

81a81a  

6.

What is the equation of the line (in y=mx+b form) that has a slope of 2 and crosses through the point (3, 2)?

a)

y=2x4y=2x-4

b)

y=2x1y=2x-1

c)

y=3x+5y=3x+5

d)

y=2x+8y=2x+8

7.

What is the equation of the line that passes through the points (3, 5) and (0, 4)?

a)

y=13x+4y=\frac{1}{3}x+4

b)

y=27x+4y=\frac{2}{7}x+4

c)

y=14x+3y=\frac{1}{4}x+3

d)

y=918x+77y=\frac{9}{18}x+77

8.

What is the equation of the line that passes through the points (4, 3) and (1, 9)?

a)

y=2x8y=2x-8

b)

y=2x5y=-2x-5

c)

y=2x+11y=-2x+11

d)

y=3x+11y=-3x+11

9.

Solve the equation for y:

y+3=12(x+4)y+3=-\frac{1}{2}\left(x+4\right)  

a)

y=12x5y=-\frac{1}{2}x-5  

b)

y=2x1y=-2x-1  

c)

y=12x+6y=-\frac{1}{2}x+6  

d)

y=12x+1y=-\frac{1}{2}x+1  

10.

Solve the equation below for y:

3xy=73x-y=7  

a)

y=3x7y=3x-7  

b)

y=3x+7y=3x+7  

c)

y=3x7y=-3x-7  

d)

y=3x+7y=-3x+7  

11.

Solve for x :

3x+1=13\left|3x+1\right|=13  

a)

x=4x=4  

b)

no solution

c)

x=4 and x=143x=-4\ and\ x=\frac{14}{3}  

d)

x=4 and x=143x=4\ and\ x=-\frac{14}{3}  

12.

Solve for x:

x7=2\left|x-7\right|=-2  

a)

x=5 and x=9x=-5\ and\ x=-9  

b)

No solution

c)

x=5 and x=9x=5\ and\ x=9  

d)

x=5x=5  

13.

Multiply the following:

(5x+7y)(6x+7y)\left(5x+7y\right)\left(6x+7y\right)  

a)

30x2+77xy+49y230x^2+77xy+49y^2  

b)

30x2+49y230x^2+49y^2  

c)

30x+77xy+49y30x+77xy+49y  

14.

What is the domain of this graph?

a)

1<x<1-1<x<1

b)

2<x<2-2<x<2

c)

x-\infty\le x\le\infty

d)

1x2-1\le x\le2

15.

What is the domain of this function?

a)

x<2-\infty\le x<2

b)

x-\infty\le x\le\infty

c)

2<x-2<x\le\infty

d)

4x2-4\le x\le2

16.

What is the range of this function?

a)

y\infty\le y\le\infty

b)

4y<2-4\le y<2

c)

y2-\infty\le y\le2

d)

2<y2<y\le-\infty

17.

What is the range of this function?

a)

2y3-2\le y\le3

b)

2<y3-2<y\le3

c)

5y4-5\le y\le4

d)

5<y4-5<y\le4

18.
Is this a function?  Why or why not? 
a)
Yes, because none of the domain numbers repeated.
b)
Yes, because none of the range letters repeated.
c)
No, because 3 goes to A and 4 goes to A.
d)
No, because A gets used twice.
19.
Is this a function?  Why or why not?
a)
No, the domain numbers are repeated.
b)
No, it passes the Vertical Line Test.
c)
Yes, it passes the Vertical Line Test.
d)
Yes, the range numbers are not repeated.
20.

What is the range of this relation?

a)

[1,4]

b)

{1,2,3,4}

c)

{A,B,D}

d)

[A,D]

21.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
22.
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
23.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
24.
a)
Function
b)
Not a Function
25.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
26.
a)

8

b)

-24

c)

24

d)

-22

27.
a)

27

b)

21

c)

24

d)

72

28.
a)

24

b)

-6

c)

32

d)

36

29.
a)
98
b)
100
c)
-10
d)
10
30.

Evaluate f(2).

a)

f(2) = 5

b)

f(2) = 12

c)

f(2) = 10

d)

f(2) = 0.5

31.

Evaluate f(6).

a)

f(6) = 18

b)

f(6) = 12

c)

f(6) = 10

d)

f(6) = 1

32.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
33.

Find the value of f(x), given x = -1

a)

0

b)

1

c)

2

d)

-1

34.

The largest value in the RANGE of a function or in a data set.

a)

maximum

b)

minimum

c)

input value

d)

output value

35.

The set of all y-values included in a function or relation.

a)

domain

b)

range

c)

x-y table

d)

y-intercept

36.

A parabola is the graph of a ______________ function.

a)

linear

b)

exponential

c)

quadratic

d)

cubic

37.

The point(s) where a graph crosses the horizontal axis.

a)

x-intercept

b)

y-intercept

c)

input value

d)

absolute value

38.

A relationship where each input value has one consistent and predictable output value.

a)

Rate of Change

b)

Function

c)

Polynomial

d)

Coefficient

39.

Used to represent an unknown or changing value.

a)

slope

b)

Δx/Δy

c)

variable

d)

piece-wise

40.

Which term correctly refers to the graph shown?

a)

piecewise graph

b)

situation

c)

linear graph

d)

exponential growth

41.

An expression that is the sum or difference of two or more terms.

a)

product

b)

generic rectangle

c)

distributive property

d)

polynomial

42.

The set of numbers { . . . −3, −2, −1, 0, 1, 2, 3, . . . } is known as

a)

integers

b)

expressions

c)

variables

d)

math

43.

A mathematical sentence stating that the two expressions are equivalent.

a)

equation

b)

evaluate

c)

standard form

d)

product

44.

Number(s) that make the mathematical equation true when substituted for the variable.

a)

solution

b)

base

c)

binomial

d)

integer

45.

If the directions say to "evaluate", that is the same as saying

a)

substitute and simplify

b)

solve

c)

find the unit rate

d)

distributive property

46.
Write the explicit formula for the sequence:
48, 24, 12, 6, 3, ...
a)
t(n) = 48(-2)n
b)
t(n) = 96(-2)n
c)
t(n) = 48(1/2)n
d)
t(n) = 96(1/2)n
47.
The equation y = 3x + 1 would best be described as:
a)
Linear Increase
b)
Exponential Growth
c)
Exponential Decay
d)
A Parabola
48.
In seven years, Seta’s son Stu is leaving home for college. Seta has $5000 now and has found a bank that pays 7.75% interest yearly. Which equation models how much money will she have for Stu’s first year of college?
a)
y = 5000(1.0775)x
b)
y = 5000(1.775)x
c)
y = 7.75x + 5000
d)
y = 1.0775x + 5000
49.
Write the equation of the exponential function expressed in the table.
a)
f(x) = 1600(1.25)x
b)
f(x) = 400x + 1600
c)
f(x) = 1600(0.8)x
d)
f(x) = 500x + 2000
50.
The graph shown could best be described as _____________.
a)
Exponential Growth
b)
Exponential Decay
c)
Linear Increase
d)
Linear Decrease
51.
Classify the following equation:
f(x) = x2 - 3x - 4
a)
Absolute Value
b)
Exponential
c)
Linear
d)
Quadratic
52.
A certain type of garden shrub doubles in number every 3 months.  If there were originally 3 shrubs, which expression would find the number of shrubs after 2 years?
a)
y = 3(2)8
b)
y = 3(2)2
c)
y = 3(1/2)8
d)
y = 3(1/2)2
53.
What is the y-intercept?
a)
7
b)
0
c)
1
d)
2
54.
A tile pattern has the following equation:  
y = 2x + 3
How many tiles does figure 0 have?
a)
2
b)
3
c)
-2
d)
-2
55.
Set of all x – values (independent variable)
a)
range
b)
non-linear
c)
domain
d)
discrete
56.
The set of all y – values (dependent variable)
a)
range
b)
domain
c)
linear
d)
non-linear
57.

For the function (0,1), (1,-3), (2,-4), (-4,1)

state the domain

state the range

a)

D: {1, -3, -4,}

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

b)

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

R:{-4, -3, 1}

c)

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

R:{1, -3, -4}

d)

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

R: {1, -3, -4, 1}

58.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
59.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
60.
a)
Function
b)
Not a Function
61.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
62.
Which of the following situations could be descried by the equation y=120-25x?
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
63.
A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?
a)
y=2x+7
b)
y=7-2x
c)
y=2-7x
d)
y=7x+2
64.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
65.

simplify so there are no negative or zero exponents.

a)

s11u2

b)

s28t-1u2

c)

s3u2

d)

s11t2u

66.

Evaluate for f(-5)

a)

1

b)

-9

c)

5

d)

15

67.

Write an equation from the table.

a)

y = -5/3 x + 3

b)

y = 3x -5

c)

y= -5x +3

d)

y = -3/5 x -5

68.

rewrite the product as a sum

a)

4x4 -7x2 -44

b)

2x2 - 44

c)

3x2 -7

d)

2x4 - 3x2 -44

69.

Simplify 7x(4x + 3y -2)

a)

28x + 21xy -14x

b)

28x2 + 21xy -14x

c)

11x + 10xy -2

d)

28x + 21y -2x

70.

The coefficient in this monomial is: -6y2

a)

6

b)

-6

c)

2

d)

y

e)

y2

71.

The base in this monomial is: 4y5

a)

4y

b)

4

c)

y

d)

5

e)

y5

72.

Write the area as a product.

a)

2x2 - 15

b)

(2x +5)(x-3)

c)

(x+5)(2x-3)

d)

2x(x+5)

73.

Write the area as a sum.

a)

2x2-15

b)

3x + 2

c)

2x2 + 7x - 15

d)

2x2 + 10x - 15

74.

Which graph does this line belong to? y = -1/2 x + 1

a)
b)
c)
d)
75.

Simplify: (4x2y5z-3)0

a)

4x2y5z3

b)

4x2y5 / z3

c)

1

d)

0

76.

How many coefficients does this expression have?


15x + 4 -9y + 38 + 2z

a)

1

b)

2

c)

3

d)

4

e)

5

77.

Solve for x:

a)

-14

b)

14

c)

-11

d)

10

78.

What is the equation of this line?

a)

2x + 1

b)

y= 2x + 1

c)

y = 1/2 x + 1

d)

1/2x + 1

79.
a)

2a2b6

b)

1/2a2b6

c)

b6/2a2

d)

2b6/a2

80.

(x-4)3 = ?

a)

x-12

b)

x-1

c)

1/x-1

d)

1/x12

81.

Simplify

a)

16x-6y14

b)

16x0y9

c)

8y14 / x6

d)

16y14 / x6

82.

What is the vertex of the quadratic function 

y=x220x+50y=-x^2-20x+50  ?

a)

( -10, 150 )

b)

( 10, -150 )

c)

( 150, -10 )

d)

( -150, -10 )

83.

A graph of a quadratic function is shown on the grid.

Which coordinate best represents the vertex of the graph?

a)

( -4.5, 0 )

b)

( -3, -2 )

c)

( -1.5, 0 )

d)

( 0, 5 )

84.

The graph of  g(x)=x2g(x)=x^2   was transformed to create the graph of h(x)=(x3)2h(x)=-\left(\frac{x}{3}\right)^2  . Which of these describes the transformation from the graph of g to the graph of h?

a)

A reflection over the y-axis and a horizontal stretch

b)

A reflection over the x-axis and a vertical stretch

c)

A reflection over the x-axis and a horizontal stretch

d)

A reflection over the y-axis and a vertical stretch

85.

Quadratic function f can be used to model the height in feet of a rocket from the ground t seconds after it was launched.

What is the maximum value of the graph of the function?

(a)  

86.

The graph of  f(x)=x2f(x)=x^2   was translated 6.5 units to the left to create the graph of g. Which function represents the graph of g?

a)

g(x)=(x6.5)2g(x)=(x-6.5)^2  

b)

g(x)=(x+6.5)2g(x)=(x+6.5)^2  

c)

g(x)=x26.5g(x)=x^2-6.5  

d)

g(x)=x2+6.5g(x)=x^2+6.5

87.

The graph of a quadratic function p is shown on the grid.

If  k(x)=x2k(x)=x^2   and p(x)=k(x)+np(x)=k(x)+n  , what is the value of n?

(a)  

88.

The graph of function k is shown on the grid.

Which statements are best supported by the graph of k?

I. The x-intercept is located at ( -2, 0 )

II. The coordinates of the y-intercept are ( 0, 4 )

III. The axis of symmetry is x= -2

a)

I and II only

b)

I and III only 

c)

II and III only

d)

I, II, and III

89.

The graph of a quadratic function f is shown on the grid.

What is the y-intercept of the graph of ?

(a)  

90.

The graph of  f(x)=x2f(x)=x^2   is reflected over the x-axis and is stretched vertically to create the graph of function g. Which graph could represent g?

a)
b)
c)
d)
91.

Two characteristics of quadratic function p are given.

*The axis of symmetry of the graph is at x= -1.

*Function p has exactly one zero.

       Based on this information, which graph could represent p?

a)
b)
c)
d)
92.

 The graph of the quadratic parent function f was transformed to create the graph of  f(x)=(x6)2+3f(x)=(x-6)^2+3  . Which graph best represents g?

a)
b)
c)
d)
93.

Which quadratic function in vertex form can be represented by the graph that has a vertex at ( -4, -5 ) and passes through ( 2, -23 )?

a)

y=12(x+4)25y=\frac{1}{2}\left(x+4\right)^2-5  

b)

y=12(x4)25y=-\frac{1}{2}\left(x-4\right)^2-5  

c)

y=12(x4)2+5y=\frac{1}{2}\left(x-4\right)^2+5  

d)

y=12(x+4)25y=-\frac{1}{2}\left(x+4\right)^2-5  

94.

The expression (54x)2\left(5-4x\right)^2  is equivalent to:

a)

16x240x+25-16x^2-40x+25  

b)

16x2+25-16x^2+25  

c)

16x240x+2516x^2-40x+25  

d)

16x2+2516x^2+25  

95.

The graph of a quadratic function is shown on the grid. Which function is best represented by this graph?

a)

f(x)=x2+4f\left(x\right)=-x^2+4  

b)

f(x)=12x2+4f\left(x\right)=-\frac{1}{2}x^2+4  

c)

f(x)=x2+2f\left(x\right)=-x^2+2  

d)

f(x)=12x2+2f\left(x\right)=-\frac{1}{2}x^2+2  

96.

A quadratic function is graphed on the grid. Which answer choice best represents the domain and range of the function?

a)

Domain: x3x\ge-3  

Range: y2y\ge-2  

b)

Domain: All real numbersAll\ real\ numbers  

Range: y2y\ge-2  

c)

Domain: x3x\ge-3  

Range: All real numbersAll\ real\ numbers  

d)

Domain: y2y\ge-2  

Range: x3x\ge-3  

97.

What are the domain and range of f(x)=23(x23)2+76f\left(x\right)=-\frac{2}{3}\left(x-23\right)^2+76  ?

a)

Domain: All real numbersAll\ real\ numbers  Range: f(x)76f\left(x\right)\le76  

b)

Domain: x23x\le23  Range: y76y\le76  

c)

Domain: All real numbersAll\ real\ numbers  Range: x76x\le76  

d)

Domain: f(x)76f\left(x\right)\ge76  Range: x23x\le23  

98.

Find the quotient of 20x232x844x12\frac{20x^2-32x-84}{4x-12}  ?

a)

5x+75x+7  

b)

5x+95x+9  

c)

5x+71574x125x+7-\frac{157}{4x-12}  

d)

5x+3+74x125x+3+\frac{7}{4x-12}  

99.

Sarah is riding her bike from her home to the recreation center. She lives 9 miles from the recreation center. The graph shows her remaining distance as a linear function of x, the time travelled in minutes. Which answer choice best describes the domain and range for the function for this situation?

a)

Domain: all real numbers greater than or equal to 0 and less than or equal to 9.

Range: All real numbers greater than or equal to 0 and less than or equal to 28.

b)

Domain: all real numbers less than or equal to 9.

Range: All real numbers less than or equal to 28.

c)

Domain: all real numbers greater than or equal to 0 and less than or equal to 28.

Range: All real numbers greater than or equal to 0 and less than or equal to 9.

d)

Domain: all real numbers less than or equal to 28.

Range: All real numbers less than or equal to 9.

100.

Given h(x)=14(11x)2h\left(x\right)=\frac{1}{4}\left(11-x\right)^2  , what is the value of h(19)h\left(19\right)  ?

(a)  

101.

Carlos purchased a total of 11 sodas and nachos. Each soda costs $1.25 and each nachos costs $4.75. If Carlos spent a total of$38.25, how many sodas did he buy?

(a)  

102.

Which expression is a factored form of 

6x217x+126x^2-17x+12  ?

a)

(3x+3)(2x+4)

b)

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

c)

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

d)

(2x+3)(3x+4)

103.

What is the solution set for 5x2+12=23x5x^2+12=-23x  ?

a)

{-6, -5}

b)

{-4, -0.6}

c)

{3, 2.5}

d)

{4, -3}

104.

Which expression is equivalent to 

49x2+56x+1649x^2+56x+16   ?

a)

(7x+4)2(7x+4)^2  

b)

(7x4)2(7x-4)^2  

c)

(14x+4)2(14x+4)^2  

d)

(14x4)2(14x-4)^2  

105.

What are the solutions to 

(x+6)2=49(x+6)^2=49   ?

a)

-43 and -55

b)

43 and 55

c)

1 and -13

d)

-1 and 13

106.

Which expression is a factor of 

3x22x+53x^2-2x+5   ?

a)

3x+1

b)

x+5

c)

3x+5

d)

There are no real factors.

107.

What are the solutions to         

2(x6)2=502(x-6)^2=50   ?

a)

x=6±50x=6\pm\sqrt[]{50}  

b)

±106\pm\sqrt[]{106}  

c)

x=31 and x=19

d)

x=11 and x=1

108.

Which value of x is a solution to this equation?

5x244x60=05x^2-44x-60=0  

a)

x= -10

b)

x= -1.2

c)

x= -5

d)

x= -6.5

109.

Given  g(x)=x25x14g(x)=x^2-5x-14  , which statement is true?

a)

The zeros are -7 and 2 because the factors are (x - 7)(x - 2).

b)

The zeros are -7 and -2 because the factors are (x + 7)(x + 2).

c)

The zeros are -2 and 7 because the factors are (x + 2)(x - 7).

d)

The zeros are 2 and 7 because the factors are (x - 2)(x - 7).

110.

What is a positive solution to this equation? Record your answer on the grid.

4x2+15x=544x^2+15x=54  

(a)  

111.

Which statement about 

k(x)=x26x+16k(x)=-x^2-6x+16   is true?

a)

The zeros are -8 and 2, because k(x)= -(x+8)(x-2)

b)

The zeros are -8 and -2, because k(x)= -(x+8)(x+2)

c)

The zeros are 8 and 2, because k(x)= -(x-8)(x-2)

d)

The zeros are 8 and -2, because k(x)= -(x-8)(x+2)

112.

Which statement is equivalent to 

16x224x+916x^2-24x+9   ?

a)

(16x3)(x3)(16x-3)(x-3)  

b)

(4x+3)2(4x+3)^2  

c)

(16x+3)(x+3)(16x+3)(x+3)  

d)

(4x3)2(4x-3)^2  

113.

Which function is equivalent to 

q(x)=25x230x+9q(x)=25x^2-30x+9   ?

a)

q(x)=(25x3)2q(x)=(25x-3)^2  

b)

q(x)=(5x+3)2q(x)=(5x+3)^2  

c)

q(x)=(5x3)2q(x)=(5x-3)^2  

d)

q(x)=(25x+3)2q(x)=(25x+3)^2  

114.

Which expression is a factor of 

27x2+6x827x^2+6x-8   ?

a)

3x-2

b)

9x+2

c)

3x+4

d)

9x-4

115.

Which value of x is a solution to this equation? 

2x220x+50=02x^2-20x+50=0  

a)

x=10

b)

x=5

c)

x= -5

d)

x= -10

116.

The area of a rectangular classroom is  273 ft2273\ ft^2  . The length of the classroom is 8 ft8\ ft    more than the width of the classroom. This situation can be represented by the equation x213x168=0x^2-13x-168=0  .

What is the width of the classroom in feet?

a)

7 ft

b)

15 ft

c)

21 ft

d)

18 ft

117.

What value of n makes the equation true?

6(0.5x2)=x0.25(x+24)-6(0.5x-2)=x-0.25(x+24)  

a)

-6.5

b)

2.5

c)

-5.4

d)

4.8

118.

What is the vertex of the quadratic function 

y=x220x+50y=-x^2-20x+50   ?

a)

( -10, 150 )

b)

( 10, -150 )

c)

( 150, -10 )

d)

( -150, -10 )

119.

What is the rate of change of this table?

a)

6

b)

0

c)

-6

d)

5

120.

The graph of  f(x)=x2f(x)=x^2   is reflected over the x-axis and is stretched vertically to create the graph of function g. Which graph could represent g?

a)
b)
c)
d)
121.

Which graph best represents the solution set of 

2x3y>12-2x-3y>12   ?

a)
b)
c)
d)
122.

Write an equation for the following word problem


A plumber charges $25 for a service call plus $50 each hour of service. If the total cost of the service is $350, how many hours did the plumber take to complete the job?

a)

25x+50=35025x+50=350

b)

35025x=50350-25x=50

c)

50x+25=35050x+25=350

d)

35050x=25350-50x=25

123.

With word problems, what are the key words that represent the coefficient (number that you pair with the variable)?

a)

each

b)

times

c)

every

d)

per

e)

pair

124.

The total cost of renting a car can be found using the equation:

T=30+0.35mT=30+0.35m  
If the total cost is $72, how many miles was the car driven?



(a)  

125.

Juan wanted to buy school supplies. He bought a notebook for $0.75 and pencils for $0.15 each. Write an equation to represent the total cost Juan spent on supplies.

a)

T=75x+15T=75x+15

b)

T=0.75x+0.15T=0.75x+0.15

c)

T=75+15xT=75+15x

d)

T=0.15x+0.75T=0.15x+0.75

126.

Write an inequality


A canoe rental service charges $20 transportation fee and $30 per hour to rent a canoe. If you plan on spending a maximum of $250, how many hours can you rent the canoes?

a)

30x+2025030x+20\ge250

b)

30x+2025030x+20\le250

c)

20x+3025020x+30\ge250

d)

20x+3025020x+30\le250

127.

Write an inequality for the following word problem.


You want to order movies online. Each move costs $2.50 and has a processing fee of $1.50. You must purchase at least $30 for the shipping to be free.

a)

2.50x+1.50302.50x+1.50\le30

b)

1.50x+2.50301.50x+2.50\ge30

c)

2.50x+1.50302.50x+1.50\ge30

d)

1.50x+2.50301.50x+2.50\ge30

128.

Anthony went to the market to buy apples and bananas. Apples,  aa  cost $0.80 per pound and bananas,  bb cost $0.30 per pound. Write an inequality that represent the most Anthony can buy if he has $10 to spend.

a)

0.80a+0.30b100.80a+0.30b\ge10  

b)

0.80b+0.30a100.80b+0.30a\le10  

c)

0.80b+0.30a100.80b+0.30a\ge10  

d)

0.80a+0.30b100.80a+0.30b\le10  

129.

Solve the following equation for  yy  


2x3y=92x-3y=9  

a)

y=23x+3y=-\frac{2}{3}x+3  

b)

y=23x3y=\frac{2}{3}x-3  

c)

y=32x92y=-\frac{3}{2}x-\frac{9}{2}  

d)

y=32x+92y=\frac{3}{2}x+\frac{9}{2}  

130.

5x4y=85x-4y=8  

a)

y=54x2y=\frac{5}{4}x-2  

b)

y=54x+2y=-\frac{5}{4}x+2  

c)

y=54x+2y=\frac{5}{4}x+2  

d)

y=54x2y=-\frac{5}{4}x-2  

131.

y2=32(x+6)y-2=-\frac{3}{2}\left(x+6\right)  

a)

y=32x11y=-\frac{3}{2}x-11  

b)

y=326y=-\frac{3}{2}-6  

c)

y=32x+6y=-\frac{3}{2}x+6  

d)

y=32x7y=-\frac{3}{2}x-7  

132.

y+2=(x7)y+2=-\left(x-7\right)  

a)

y=x7y=-x-7  

b)

y=x9y=x-9  

c)

y=x+5y=-x+5  

d)

y=x9y=-x-9  

133.

Solve the following equation for  aa  


b=3a+4cb=3a+4c  

a)

a=b4c3a=-\frac{b-4c}{3}  

b)

a=b4c3a=\frac{b-4c}{3}  

c)

a=b+4c3a=\frac{b+4c}{3}  

d)

a=4c+b3a=\frac{4c+b}{3}  

134.

Solve the equation

2m6(m8)=96-2m-6\left(m-8\right)=96  

a)

x=16x=-16  

b)

x=10x=10  

c)

x=6x=-6  

d)

No Solution

135.

What value of y makes the equation true?

a)

10

b)

-10

c)

32\frac{3}{2}

d)

32-\frac{3}{2}

136.

(37n)+6(2n1)=162n+5-\left(3-7n\right)+6\left(2n-1\right)=16-2n+5  

What is the solution to

a)

107\frac{10}{7}  

b)

710\frac{7}{10}  

c)

1511\frac{15}{11}  

d)

1511-\frac{15}{11}  

137.

2(m4)>26+4m-2\left(m-4\right)>26+4m  

What is the solution of the inequality?


a)

m<3m<-3  

b)

m>3m>3  

c)

m>3m>-3  

d)

m<3m<3  

138.

4x+105x+55-4x+10\ge5x+55  

What is the solution set for

a)

x5x\ge5  

b)

x45x\ge45  

c)

x5x\le-5  

d)

x45x\le-45  

139.

Choose the correct inequality that represents the expression


x is at least 1

a)

x>1x>1

b)

x<1x<1

c)

x1x\le1

d)

x1x\ge1

140.

Choose the correct inequality that represents the expression

x is no more than 8

a)

x>8x>8  

b)

x<8x<8  

c)

x8x\le8  

d)

x8x\ge8  

141.

Choose the correct inequality that represents the expression


x above 3

a)

x>3x>3

b)

x<3x<3

c)

x3x\le3

d)

x3x\ge3

142.

Which system is represented by the graph?

a)

y4x1y\le4x-1
y2x+4y\le-2x+4

b)

y4x1y\ge4x-1
y2x+4y\ge-2x+4

c)

y2x+4y\le-2x+4
y4x1y\ge4x-1

d)

y2x+4y\ge-2x+4
y4x1y\le4x-1

143.

Which expression is equivalent to 41084\sqrt{108}  ?


a)

12612\sqrt{6}  

b)

28328\sqrt{3}  

c)

24324\sqrt{3}  

d)

363\sqrt{6}  

144.

Which ordered pair is NOT a solution to the system of inequalities graphed?

a)

(4, 6)

b)

(0, 6)

c)

(-1, 6)

d)

(2, 7)

145.

Which expression is equivalent to 7x+(63x2)+2(5x34)-7x+\left(6-3x^2\right)+2-\left(5x^3-4\right)  ?

a)

8x27x+6-8x^2-7x+6  

b)

8x27x+12-8x^2-7x+12  

c)

2x2x+62x^2-x+6  

d)

2x2+3x10-2x^2+3x-10  

146.

Which point represents a solution to the system graphed?

a)

(0, -3)

b)

(3, 3)

c)

(-1, 1)

d)

(-2, 2)

147.

Which graph best represents the solution to this system of inequalities:

5x3y<95x-3y<9  
x3y3x-3y\ge-3  

a)
b)
c)
d)
148.

How should we shade this inequality?
4x2y>64x-2y>6  

a)

Above the line

b)

Below the line

149.

Which graph represents the solution set to

y>53x4y>-\frac{5}{3}x-4  

a)
b)
c)
d)
150.

What type of line should we draw for the following inequalities:
y0y\le0  
y0y\ge0  

a)

solid line

b)

dashed line

151.

Which expression is equivalent to 80\sqrt{80}  ?


a)

4040  

b)

454\sqrt{5}  

c)

252\sqrt{5}  

d)

2020  

152.

Which expression is equivalent to:  (9+6r2r2)+(5r219+6r)\left(9+6r-2r^2\right)+\left(-5r^2-19+6r\right)  ?


a)

7r2+12r10-7r^2+12r-10  

b)

7r2+12r8-7r^2+12r-8  

c)

7r2+2r+8-7r^2+2r+8  

d)

7r212r+10-7r^2-12r+10  

153.

What type of line should we draw for the following inequalities:

y<0y<0  
y>0y>0  

a)

solid line

b)

dashed line

154.

How should we shade this inequality?
5x3y105x-3y\le10  


a)

Above the line

b)

Below the line

155.

The graph of 0.5x3y=90.5x-3y=9  is shown. Which ordered pair is a solution of  0.5x3y90.5x-3y\ge9  ?


a)

(-6, -1)

b)

(-6, 1)

c)

(6, 2)

d)

(6, -2)

156.

If a point lies on a dashed line, then the point is a solution.

a)

True

b)

False