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Worksheets

Algebra EOC Real Numbers

Total questions: 160

Worksheet time: 8hrs 4mins

Name
Class
Date
1.

What is the slope of the line represented by 5x - 12y = 24?

a)

-2

b)

24/5

c)

-12

d)

5/12

2.

What is the domain of f(x)=9-x2?

a)

f(x) ≥ 9

b)

All real numbers

c)

-3 ≤ x ≤ 3

d)

x ≤ 9

3.

What is the range?

a)

{x| x= -2, 2, 4}

b)

{x| -2 ≤ x ≤ 4}

c)

{y| -3 ≤ x ≤ 4}

d)

{y|y= -3, 0, 4}

4.

A plane can carry a maximum cargo weight of 160,000 pounds. A company uses one of these planes to ship 2,000-pound containers. The total cargo weight is a function of the number of containers in the plane. What is the greatest value in the domain for this situation?

a)

162,000

b)

320,000,000

c)

80

d)

158,000

5.

The student council sent its members on four field trips during the school year. The number of buses needed to transport the members on each trip is a function of the number of members who went on each trip. This function consists of only the ordered pairs (52,3), (72,4), (86,5), and (105,6). What is the domain for this situation?

a)

{52, 105}

b)

{3, 4, 5, 6}

c)

{52, 72, 86, 105}

d)

{3, 4, 5, 6, 52, 72, 86, 105}

6.
a)

All real numbers

b)

All real numbers greater than or equal to -8

c)

All real numbers greater than or equal to -7

d)

All real numbers greater than or equal to 0

7.

Which statement is true?

a)

The range is the set of all real numbers less than 0.

b)

The domain is the set of all real numbers greater than -4.

c)

The domain is the set of all real numbers less than -4.

d)

The range is the set of all real numbers greater than 0.

8.

The total cost in dollars to buy uniforms for the players on a volleyball team can be found using the function c = 34.95u + 6.25, where u is the number of uniforms bought. If there are at least 8 players but not more than 12 players on the volleyball team, what is the domain of the function for this situation?

a)

0 < u ≤ 12

b)

0 < c ≤ 425.65

c)

{8, 9, 10, 11, 12}

d)

{285.85, 320.80, 355.75, 390.70, 425.65}

9.

What is the range of this situation?

a)

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

b)

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

c)

All real numbers less than or equal to 28

d)

All real numbers less than or equal to 9

10.

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

a)
b)
c)
d)
11.

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4. What is the range of the function for this situation?

a)

{0, 1, 2, 3, 4, 5, 6}

b)

{4, 24, 44, 64, 86, 104, 124}

c)

{0, 2, 4, 6}

d)

{4, 44, 84, 124}

12.
a)

x ≥ 0

b)

y ≥ 250,000

c)

0 ≤ x ≤ 110

d)

250,000 ≤ y ≤ 1,000,000

13.
a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < f(x) ≤ 3

d)

-6 ≤ f(x) < 3

14.

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

a)
b)
c)
d)
15.

Which table shows the same rate of change of y with respect to x as y = 4 - ⅝x?

a)
b)
c)
d)
16.

The graph of the function is shown. What is the slope of the function?

a)

-1/3

b)

-3

c)

1/3

d)

3

17.

What is the slope of a line passing through (9,2) and (-9, -6)?

a)

9/4

b)

-4/9

c)

4/9

d)

-9/4

18.

Which of the following linear functions will have a rate of change of 2/3?

a)

A function whose graph is a line that contains (6,10) and (10, 12)

b)

A function whose equation is 3x - 2y = 12

c)

A function whose equation is 2x - 3y = 9

d)

A function whose graph has an x-intercept of (3,0) and a y-intercept of (0,2)

19.

Look at the lines graphed. Which line appears to have a slope of 1.5?

a)

Line a

b)

Line b

c)

Line c

d)

Line d

20.

What is the rate of change of the line graphed?

a)

12

b)

-0.4

c)

-2.5

d)

5.5

21.

Which of the following data sets belong to a linear function with a rate of change of 3?

a)

I and II only

b)

I only

c)

III only

d)

I, II, and III

22.

The slope of a line that passes through the points (-6, w) and (-10, 4) is 1/8. What is the value of w?

a)

36

b)

34

c)

9/2

d)

1/2

23.

A linear function contains the point (4, 9) and has a slope of 4. Which of the following points will also belong to the function?

a)

(0, -7)

b)

(-1, -10)

c)

(3, 6)

d)

(1, 2)

24.

Which describes the range of the function with the graph shown?

a)

All real numbers greater than or equal to 0

b)

All real numbers greater than or equal to -6

c)

All real numbers

d)

All real numbers greater than or equal to -5

25.
a)

0 ≤ x ≤ 3

b)

0 ≤ x ≤ 60

c)

0 ≤ f(x) ≤ 3

d)

60 ≤ f(x) ≤ 90

26.
a)

Negative correlation

b)

Positive correlation

c)

No correlation

d)

Absolute correlation

27.
a)

The speed of the rocket was greatest at about 6 seconds after it was fired.

b)

The rocket traveled 180 meters.

c)

The rocket reached its maximum height in about 6 seconds.

d)

The rocket returned to the ground in about 6 seconds.

28.

What are the solutions to the equation 0 = x2 + 3x - 10?

a)

x = -2, x = -5

b)

x = -2, x = 5

c)

x = 2, x = 5

d)

x = 2, x = -5

29.

A function is described by the equation f(x) = 2x + 3. The domain is {2, 4, 6, 8}. What is the range?

a)

{4, 8, 12, 16}

b)

{2, 4, 6, 8}

c)

{1, 5, 9, 13}

d)

{7, 11, 15, 19}

30.

What are the roots of the quadratic equation 2x2 + 6x - 20 = 0?

a)

2 and 5

b)

-2 and 5

c)

2 and -5

d)

-2 and -5

31.

What is the slope of this line?

a)

0

b)

-3

c)

Undefined

d)

1

32.

What is the equation of the linear function graphed?

a)

x = -3

b)

x = -4

c)

y = -4

d)

y = -3

33.

Jamie and Cynthis sold a total of 84 raffle tickets. Jamie sold 3 fewer than twice the number Cynthis sold. Which system of equations could be used to determine the number of raffle tickets sold by Jamie, j, and Cynthia, c?

a)

j + c = 84

j = 3 - 2c

b)

j + c = 84

c = 2j +3

c)

j + c = 84

j = 3c + 2

d)

j + c = 84

j = 2c -3

34.

What is the rate of change of y with respect to x of the line graphed?

a)

5/3

b)

-5/3

c)

3/5

d)

-3/5

35.
Identify the domain of the following relation:
a)
{-6, 14, 2, 28}
b)
{-6,14, 0, 32, 2, 38, 4,44}
c)
{-6, 0, 2, 4}
d)
{14, 32, 38, 44}
36.

Which graph is not a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.
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)
38.
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.
39.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
40.

What is the domain?

a)

x = 2

b)

All real numbers

c)

y = 2

d)

None of these

41.
Solve:
6(5x - 3) + 2 = 14
a)
2
b)
.5
c)
-1
d)
1
42.
Solve:
2(a + 4) = 2a - 8 + 4a
a)
3
b)
-3
c)
-4
d)
4
43.
Solve the proportion.
a)
p=31.3
b)
p=308
c)
p=924
d)
p=532
44.
Write an equation that could be used to find how many packs of DVDs you can buy with 168 dollars if one pack costs 12 dollars.
a)
168x = 12
b)
12x = 168
c)
12(168) = x
d)
12 / x = 168
45.
Write an equation from the following description: Bob sells popcorn at 50 cents per bag. 
a)
y=5x
b)
y=0.5x
c)
y=1/5x
d)
y=1/0.5x
46.

Rita works at a music store. On Tuesday, she sold 6 more than 3 times the number of guitars that she sold on Monday. Rita sold a total of 110 guitars over the two days. Write a system of equations that can be used to find the number of guitars she sold on Monday and Tuesday. Let m = number of guitars sold on Monday and

t = number of guitars sold on Tuesday.

a)

m + t =9

t = 6 + 3m

b)

m + t = 110

t = 6 + 3m

c)

m + t = 110

m = 6 + 3t

d)

m + t = 110

t = 3m - 6

47.
An Algebra book has a total of 1382 pages which is broken into two parts. The second part of the book has 64 more pages than the first part. Write a system of equations to find the number of pages for each part of the book. Let  x =  number of pages of the first part of the book and y = number of pages of the second part of the book
a)
x + y =1382
y = 64x
b)
x + y =1382
y = 64 + x
c)
x + y =1382
y = x - 64
d)
x + y =1382
y = -64x
48.
At a holiday ski resort, skis cost $16 to rent and snowboards cost $19. If 28 people rented on a certain day and the resort brought in $478, which system could be used to determine the number of skis (s) and snowboards (b) rented?
a)
s+b=478
19s+16b=28
b)
s + b = 28
16s+19b=478
c)
s+b=478
16s+19b=28
d)
s+b=28
19s+16b=478
49.
Give the y-interecept
5x + y = 5
a)
(1,0)
b)
(0,5)
c)
(5,0)
d)
(0,1)
50.
Give the x-intercept
3x + 8y = 24
a)
(8, 0)
b)
(0, 8)
c)
(3, 0)
d)
(0, 3)
51.

The graph of f(x)= x2 was transformed to create the graph of g(x) = (x - 7.5)2. Which of these describes the transformation?

a)

A horizontal shift to the right 7.5 units

b)

A horizontal shift to the left 7.5 units

c)

A vertical shift down 56.25 units

d)

A vertical shift up 56.25 units

52.

A particular type of cell doubles in number every hour. Which function can be used to find the number of cells present at the end of h hours if there are initially 4 of these cells?

a)

n= 4(1/2)h

b)

n= 4(2)h

c)

n= 4+ (2)h

d)

n= 4 + (1/2)h

53.

The population of Center City is modeled by exponential function f, where x is the number of years after the year 2015. The graph of f is shown on the grid.

a)

x ≥ 0

b)

y ≥ 250,000

c)

0 ≤ x ≤ 110

d)

250,000 ≤ y ≤ 1,000,000

54.

The value of y is directly proportional to the value of x. If y=35 when x= 140, what is the value of y when x = 70?

a)

18

b)

29

c)

17.5

d)

15

55.

A projectile is launched into the air from the ground. The table shows the height of the projectile, h(t), at different times. Based on the table, which function can best be used to model this situation?

a)

h(t)= 99t2 + 858

b)

h(t)= -4.9t2 + 295t + 0.6

c)

h(t)= -4.9t2 +295t + 2

d)

h(t)= 99t2 + 1,470.3

56.

The graph of part of linear function is g shown on the grid. Which inequality best represents the domain of the part shown?

a)

-9 < x ≤ 2

b)

-9 ≤ x < 2

c)

-6 < g(x) ≤ 3

d)

-6 ≤ g(x) < 3

57.

The graph of a quadratic function is shown on the grid. Which equations best represents the axis of symmetry?

a)

y = 6

b)

x = 2

c)

y = 4

d)

x = 0

58.

If p(x) = 5(x2 + 1) + 16, what is the value of p(11)?

a)

690

b)

736

c)

622

d)

626

59.

Which expression is equivalent to (7x3)2 (x8)1/2?

a)

14x10

b)

49x10

c)

14x7

d)

49x7

60.

Range greater than or equal to 6?

a)
b)
c)
d)
61.

Which expression is equivalent to √147?

a)

3√7

b)

7√3

c)

21√7

d)

49√3

62.

Which graph best represents the solution set of y ≤ -4x?

a)
b)
c)
d)
63.

Which dashed line is an asymptote for the graph?

a)

line q

b)

line r

c)

line s

d)

line t

64.

The expression (x3) (x-17) is equivalent to xn. What is the value of n?

a)

-20

b)

-14

c)

-51

d)

-17/3

65.
What is the domain of this function?
(2, 4), (5, 5), (8, 6), (11, 7)
a)
{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)
b)
(2, 5, 8, 11}
c)
{4, 5, 6, 7}
d)
{2, 4, 5, 8, 6, 11, 7}
66.
What is the domain of the graph?
a)
numbers between and including 1 and 4
b)
numbers between and including 1 and 5
c)
All positive numbers
d)
All positive numbers greater than 1
67.
The function f(x)=3.25x+2 models the the total cost to bowl x number of games. What is the most appropriate domain of the function?
a)
All integers
b)
All rational numbers
c)
All non-negative integers
d)
All non-negative rational numbers
68.
The function f(x)=0.49x models the cost to purchase x pounds of apples from the grocery store.  What is the most appropriate domain for the function?
a)
All integers
b)
All rational numbers
c)
All non-negative integers
d)
All non-negative rational numbers
69.
The function f(x)=1.75x+2 models the total cost to purchase an ice cream sundae with x amount of toppings. Austin only has $8 to spend on his ice cream sundae. What is the most appropriate domain for this situation?
a)
x ≤ 8
b)
0 ≤ x ≤ 8
c)
x ≤ 4
d)
0 ≤ x ≤ 4
70.
What is the domain of the graph?
a)
y≥1
b)
x ≥ 1
c)
All real numbers
d)
none of these
71.
What is the range of the graph?
a)
y≥1
b)
x≥1
c)
All real numbers
d)
none of these
72.
What is the range?
a)
x = 2
b)
−∞ < x < ∞
c)
y = 2
d)
none of these
73.
What is the proper domain?
a)
x≥0
b)
y≥0
c)
All real numbers
d)
{0, 1, 2, 3, 4,...}
74.
What is the domain of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
75.
What is the range of the graph?
a)
-7 ≤ x < 5
b)
-3 ≤ x < 1
c)
-3 ≤ y < 1
d)
-7 ≤ y < 5
76.
What is the domain?
a)
-4 < x ≤ 5
b)
-4 ≤ x < 5
c)
-3 < y < 3
d)
-3 ≤ y ≤ 3
77.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
78.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
79.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
80.
Write in slope intercept form
5x - 3y = -9
a)
y = (5/3)x - 3
b)
y = (5/3)x + 9
c)
y = (5/3)x + 3
d)
y = (3/5)x + 3
81.
Find the x and y intercepts
4x - 5y = 40
a)
x intercept is 10 
y intercept is 8
b)
x intercept is 10
y intercept is 20
c)
x intercept is 8
y intercept is 10
d)
x intercept is 10
y intercept is -8
82.
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)
83.
Write the equation of a line parallel to the one pictured through the point (3,1) in point slope form.
a)
y-1=1/2(x-3)
b)
y+1=1/2(x+3)
c)
y-1=-1/2(x-1)
d)
y+1=-1/2(x+3)
84.
In an exponential function, what does the 'a' represent? 
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
85.
What is a, the starting term, for the function: f(x) = 300(1.16)x?
a)
300
b)
1.16
c)
.16
d)
x
86.
A population of 2200 beetles is too large to sustain and decreases in population each month at a rate of 5%. How would you write your decay factor, b?
a)
-5
b)
-.05
c)
.95
d)
.05
87.
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
88.
Classify the model as Exponential GROWTH or DECAY.
A=1200(.85)6
a)
Growth
b)
Decay
89.
Is the pictured graph growth, decay, or linear or none?  
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
90.
James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.
a)
70(2)35
b)
70(2)5
c)
2(70)5
d)
5(70)2
91.
Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y=5000(0.7)x
b)
y=30(5000)x
c)
y=5000(1.3)x
d)
y=5000xx
92.
The number of mosquitoes at the beginning of the summer was 4,000. The population of mosquitoes is expected to grow at a rate of 25% a month. How many mosquitoes will there be after 4 months?
a)
9766
b)
9006
c)
9765
d)
5433
93.
Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
94.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
95.
Solve the following system by graphing.  What is the solution?
a)
Infinite number of solutions
b)
(3, 3)
c)
(3, -3)
d)
(-3, 3)
96.
Solve for x and y
3x + 2y = 16
7x + y = 19
a)
(-2,5)
b)
(-2,-5)
c)
(2,-5)
d)
(2,5)
97.

A manager purchased a total of 21 coffee mugs and key chains. Each coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase?

a)

21

b)

8

c)

14

d)

13

98.
Solve the inequality.
x + 5 ≤ 13
a)
x ≥ 8
b)
x ≥ 18
c)
x ≤ 8 
d)
x ≤ 18 
99.
Match the graph with its inequality.
a)
11 < a
b)
11 > a
c)
 11 ≤ a
d)
 11 ≥ a
100.
Pick the correct letter for:
6 > x
a)
A
b)
B
c)
C
d)
D
101.
The maximum score on the pilot's test is 95 points.
a)
p < 95
b)
p > 95
c)
p ≥ 95
d)
p ≤ 95
102.
When graphing b < 6 would you use an open or closed circle?
a)
Open
b)
closed
103.
-4x + 14 ≤ 54
a)
x ≥ -10
b)
x ≤ -10
c)
x ≥ 10
d)
x ≤ 10
104.
Match the system to the graph (solution set is on the left)
a)
y ≤ 3x   and  y ≤ -2x + 4
b)
y > 3x   and  y > -2x + 4
c)
y < 3x   and  y > -2x + 4
d)
y > 3x   and  y < -2x + 4
105.
Which system of inequalities matches the graph?
a)
x> -2
y < -4
b)
x< 2
y> 4
c)
x >  2
y <  4  
d)
x > 2
y <- 4
106.
Is (0,0) a solution to the system?
a)
Solution
b)
Not a solution
107.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
108.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
109.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
110.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
111.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
112.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
113.
Factor
k2+7x+10
a)
(k+2)(k+5)
b)
(k-2)(k-5)
c)
(k+10)(k+4)
d)
(k+2)(k-5)
114.
Factor
k2 -2k - 24
a)
(k+4)(k-6)
b)
(k+4)(k+6)
c)
(k+6)(k-1)
d)
(k-4)(k+6)
115.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
116.
Factor
2x2 - 13x - 70
a)
(2x-7)(x+10)
b)
(7x+5)(x+2)
c)
(2x+7)(x-10)
d)
2(x+7)(x+10)
117.
Factor
9x2+9x-10
a)
(3x-5)(3x+2)
b)
(3x+5)(3x-2)
c)
(3x+5)(3x+2)
d)
Not Factorable
118.
Factor
81m2 - 1 
a)
not factorable
b)
(m-9)(m+9)
c)
9m(9m-1)
d)
(9m-1)(9m+1)
119.
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
120.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
a)
10 seconds
b)
64 seconds
c)
960 seconds
d)
2 seconds
121.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
When did the ball hit the ground?
a)
10 seconds
b)
2 seconds
c)
5 seconds
d)
7 seconds
122.
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
 h = -16t2 + 64t + 960.
What is the maximum height?
a)
960 feet
b)
1008 feet
c)
1024 feet
d)
1152 feet
123.
Find the 22nd term of the following sequence:
5, 8, 11, ...
a)
14
b)
68
c)
63
d)
71
124.
Identify the common difference. 
10, 20, 30, 40, ...
a)
5
b)
10
c)
15
d)
20
125.
What are the next 3 terms in this sequence of terms? 3, 7, 11, 15
a)
18, 22, 26
b)
19, 21, 23
c)
19, 23, 27
d)
18, 21, 24
126.
Is the sequence geometric or arithmetic?
3, 6, 9, 12...
a)
Arithmetic
b)
Geometric
c)
Neither
127.
What is the explicit rule for the sequence:
11, 22, 44, 88...
a)
an = 2(11)n-1
b)
an = 11x2
c)
an = 11(2)n-1
128.
This image shows how a certain bacteria grows in a petri dish. What is the common ratio of this sequence?
a)
4
b)
3
c)
2
d)
6
129.
Find the general rule for: 64, -32, 16, -8, …  
a)
64(1/2)n-1
b)
(-32)n-1
c)
64(-1/2)n-1
d)
(32)n-1
130.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
131.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
132.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
133.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
134.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
135.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
136.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
137.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
138.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
139.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
140.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
141.
(2x3y)6
a)
2x18y6
b)
64x18y6
c)
64x3y6
d)
2x3y6
142.
(2m4)(5m2)
a)
10m6
b)
10m8
c)
7m6
d)
7m8
143.
1.)  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
144.
Select the equivalent expression 
4x4y3 ⋅ 2x3y-5
a)
8x7/ y2
b)
6x7y8
c)
6x7y-2
d)
8 / x7y2 
145.
Application:
Express the area of the rectangle as a monomial.
a)
7x3y8z4
b)
10x2y16z3
c)
10x3y8z4
d)
none of the above
146.

What is the factored form of the expression,

6x2y4z2 + 9x3y ?

a)

3x2(3xy + 2y4z2)

b)

3x2y(3x + 2y3z2)

c)

( 3x2y + 1)(3x + 2y3z2)

d)

20x3y3z2

147.

Which expression is equivalent to (2x2 + 4y3)(2x2 – 4y3)?

a)

4x4 - 16y9

b)

4x4 +16x2y3- 16y6

c)

4x4 -16x2y3- 16y6

d)

4x4 - 16y6

148.

Which expression is equivalent to 30c – 18cd – 10 + 6d?

a)

(6c + 2)(5 + 3d )

b)

(6c + 2)(5 – 3d )

c)

(6c – 2)(5 + 3d )

d)

(6c – 2)(5 – 3d )

149.

Which expression is equivalent to 22x3y2 + 55x2y4 ?

a)

11x2y2 (5x + 2y2)

b)

(11x2y2 + 1)(5y2 + 2x)

c)

11x2y2 (5y2 + 2x)

d)

11y2 ( 2x2 + 5xy2)

150.

The dimensions of a figure are shown in the diagram.


What is the perimeter of this figure?

a)

x2 + 6x + 10

b)

2x2 + 2x - 2

c)

2x4 + 2x3 - 2

d)

2x2 + 2x + 2

151.

A square has side length (x - 3) units. What is its area?

a)

x2 + 9 square units

b)

x2 - 9 square units

c)

x2 -6x + 9 square units

d)

x2 -6x - 9 square units

152.

Use the dimensions in the diagram to answer the question.


What is the perimeter of this figure?

a)

13x4 + 2

b)

13x4 - 2

c)

13x - 2

d)

13x + 2

153.

Which expression is equivalent to (x - 2)(x² + 3x - 5)?

a)

x3 + 3x2 - 5x + 10

b)

x3 + x2 - 11x + 10

c)

2x² + 6x - 10

d)

x3 + 3x2 - 5x

154.

Which expression is equivalent to

(−4k4 + 14 + 3k2 ) + (−3k4 − 14k2 − 8)?

a)

−7k8 − 11k4 + 6

b)

−7k4 − 11k2 + 6

c)

7k4 − 11k2 + 22

d)

-7k4 − 17k2 + 22

155.

Which expression is equivalent to xy2z + xz(x + y)?

a)

xz(x + y2) + y

b)

x2(x + y2)z

c)

2xy(z + x2)z

d)

xy2z + xyz + x2z

156.

The owner of the local car wash wants to figure out the average time it takes his employees to wash a single car. In 1 week, 62 cars are cleaned by 5 different workers. Each employee works a 4.5-hour shift.

Which unit is most appropriate for the owner to use in calculating this information?

a)

number of hours per car washed

b)

number of employees per car washed

c)

number of cars washed per week

d)

number of shifts worked by employees

157.

Alan rides his bicycle at a speed of 30 feet per second.

How many yards will Alan travel in 60 seconds if he maintains that speed?

a)

180 yards

b)

600 yards

c)

1800 yards

d)

90 yards

158.

Sandy wants to determine how productive she is at writing midterm essays. She graphs the number of words typed compared to the number of hours worked while writing her last midterm.


Which statement best describes Sandy's productivity in writing midterm essays as supported by the graph?

a)

Sandy types 50 words per hour of work on her essay.

b)

Sandy types 150 words per hour of work on her essay.

c)

Sandy rate of productivity doubled after 6 hours of work on her essay.

d)

Sandy rate of productivity tripled after 6 hours of work on her essay.

159.

In which situation would it be appropriate to use square feet as a measurement?

a)

Joseph must determine the distance between two power lines.

b)

Karla must determine the area of her yard.

c)

Lyle must determine the amount of space available in a box.

d)

Maya must determine the volume of a bathtub.

160.

What is most reasonably in miles?

a)

Height of a building

b)

Height of a man

c)

Length of a street

d)

Length of a swimming pool

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