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Generated By: Lisa Fisher
(Rational & Irrational Numbers )
1.
0.393939...
Is the number above rational, irrational, both rational and irrational, or neither
rational nor irrational?
O A. neither rational nor irrational
O B. both rational and irrational
O C. irrational
O D. rational
2.
{0, 3, 5, 8, 10, 20, 26}
The numbers shown above belong to which of the following subsets of the real
numbers?
I.
II.
III.
IV.
V.
Integers
Natural Numbers
Irrational Numbers
Rational Numbers
Whole Numbers
O A. I, IV, and V only
O B. Vonly
O C. I, I I , IV, and V only
O D. I, I I , and V only
3. Which of the following statements is true about the sum of a rational and an
irrational number?
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O A. The sum of a rational and irrational number is always an irrational number.
O B. The sum of a rational and irrational number is never an irrational number.
O C. The sum of a rational and irrational number is sometimes a rational number.
O D. The sum of a rational and irrational number is always a rational number.
{7, 12, 17, 27, 3 3 , 37, 4 0 }
The numbers shown above belong to which of the following subsets of the real
numbers?
I.
II.
III.
IV.
V.
O
O
O
O
Irrational Numbers
Integers
Whole Numbers
Natural Numbers
Rational Numbers
A. Ill and IV only
B. II, III, and IV only
C. II, I'll, IV, and V only
D. II only
5. Order the following numbers from greatest to least:
Wo,
°
A
°
B
0
c
°
D
11
/ 2 , %, 6.97
-V~70, 6.97, %, n / 2
- 6.97, Wo , n / 2 , Tl
- n , n / 2 , 6.97 , V70
- V70, 6.97,
U
/ , 7.
6. Which of the following is an irrational number?
O A. V~36
O B. 3.8
O C. 3/
'13
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O D. V~18
7. Which of the following groups listed below are subsets of the Irrational
Numbers?
I.
II.
III.
IV.
V.
Real Numbers
Natural Numbers
Integers
Rational Numbers
Whole Numbers
O A. None of the subsets listed are subsets of the Irrational Numbers.
O B. Ill only
O C. II, III, IV, and V only
O D. All of the subsets listed are subsets of the Irrational Numbers.
8.
%
l
« 0.785398163397448309615
4
To which subset of the real numbers does
I.
II.
III.
IV.
V.
O
O
O
O
%
/
belong?
Whole Numbers
Irrational Numbers
Rational Numbers
Integers
Natural Numbers
A. II and III only
B. II only
C. II, III and V only
D. Ill only
9. Does the set of numbers below contain rational numbers, irrational numbers,
both rational and irrational numbers, or neither rational nor irrational numbers?
{22, f J vlOO, 10.43}
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O A. neither rational nor irrational
O B. both rational and irrational
O C. irrational
O D. rational
10. Which of the following statements is correct about the value of
18 + -Vl7 ?
O A. 18 + - V l 7 is an integer
O B. 18 + -\f 17 is an irrational number
O C. 18 + - / 1 7 is neither a rational or irrational number
O D. 18 + -V"l7 is a rational number
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PNumber Lines
i.
©
-6
-5
-4
At what position on the number line is the red dot located?
O A. -3.5
O B. -3.75
O C. -3.25
O D. -2.75
2.
€>
10
11
At what position on the number line is the red dot located?
o
A. 10 v 5
O B. 1 0
3
7i
'10
1
O c. 1 0 /1
'10
2
O D. 1 0 /
'5
3.
*
-2
-1
0
At what position on the number line is the red dot located?
O A. 0.25
O B. -0.2
O C. 0
O D. -0.4
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4.
9
-2
-1
0
At what position on the number line is the red dot located?
O A. -0.4
O B. 0
O C. -0.8
O D. -0.2
5.
•©
5
6
7
At what position on the number line is the red dot located?
O A. \/42
O c. \/22
O D. v/32
6.
#
0
1
2
What position on the number line is the red dot located?
O A.v/6
O B.v/3
O C. v7?
O D.\/5
7.
©
3
4
5
6
At what position on the number line is the red dot located?
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O A.
N/26
O B. v^5
O c. \/20
O D.N/62
®
8.
1
3
2
What position on the number line is the red dot located?
O A.vTB
O B. \/4
O c.vlQ
O D.x/3
9.
1
2
3
4
At what position on the number line is the red dot located?
O A_Vn
O B./4
O c.
\
O D./2
10.
©
-5
-4
At what position on the number line is the red dot located?
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O A. -4.2
O B. -4
O C.-4.3
O D. -4.5
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.Square Roots 1
1. Which of the following values is between 7 and 8?
O
O
O
O
2
A. N/47
B. \/53
c. v/65
D. \/39
- Simplify: ^ 4 9
O A. 9
O B. 8
O C. 7
O D. 6
3. Which of the following values is between 11 and 12?
O A.v/130
O B.v/ll9
O c. s/161
O D. N/99
4. Which of the following statements is correct about -Vl69 ?
O A. -^169 is an integer
O B. ~V"l69 is not a rational number.
O C. -V"l69 is not an integer.
O D. -^169 is an irrational integer
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Simplify -.4A
o
o
o
o
A. 4
B. 2
c.
\
D. 1
6. Which of the following values is between 4 and 5?
o
o
o
o
\/40
B. \/l9
c. \/l2
D. vTI
A.
7. Simplify: / 2 5
o
o
o
o
A. 5
B. 10
C. 20
D. 15
8. Which of the following values is between 5 and 6?
O A.N/15
O B.N/21
O C. \/48
O D. >/29
9. Which of the following statements is correct about V l 2 2 ?
O A. -V" 122 is an irrational integer
O B. - V l 2 2 is a rational number between 11 and 12
O C. -dll.1
is an integer
O D. -V~122 is an irrational number between 11 and 12
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10
O
O
O
O
3 of 6
- Simplify: V s i
A. 8
B. 9
C. 7
D. 6
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Generated By: Lisa Fisher
(Rational Approximations,
1. What is the approximate value of 15 + d~5 7
O
O
O
O
A.
B.
C.
D.
18.3
17.24
16.13
16.37
2. Which value is a reasonable approximation of v82 ?
O A. 9.3
O B. 9.5
O C. 9.1
O D. 9.7
3. Which of the following values is slightly greater than - / 2 3 ?
O A. 4 9/
'io
O B. 4 V
'3
O c.4i0/
'll
O D. 4 4/
'5
4. Which value is a reasonable approximation of voO ?
O A. 7.8
O B. 7.2
O C 7.6
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O D. 7.4
5. Approximate the following expression.
6V~72
3^6
O A. 24 9 /
'25
O B. 1 6 6 / ^
O C. 6 23/
7
25
O D. 1 0 W/
'50
6. Approximate the value of the following expression.
2V r 8 x 6V"ll
O A. 75 1/
'25
O B. 34 22/
14
O C. H 2
O D. 52 8 /
/
'25
'25
7. Approximate the following expression.
12V~60
4V~6
O A. 25.28
O B. 83.2
O C. 58.8
O D. 9.48
8. What is the approximate value of V l 2 4 ?
O A. 10.03
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O B. 11
O C. 12.22
O D. 11.14
9. Approximate the following difference.
llV~89 - 3 ^ 8 9
O A. 150.96
O B. 311.19
O C. 1.43
O D. 75.44
10. Approximate the following sum.
3-\A8 + 5V~48
O A. 16.93
O B. 110.88
O C. 55.44
O D. 103.95
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Exponents
1. Simplify the following expression.
32 + 36
o
o
o
o
2
A. 27
B. 1/
'9
C. 81
D.V
81
- Which of the following is an equivalent representation of 4" ?
O A.1/
64
O B. 1
'256
O C. i
/l2
o D. v
16
3. Simplify the following expression.
26x24
O A. 16
O B. 16,777,216
O C. 4
O D. 1,024
4
lof7
- Simplify: 4 6b • 6r&
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O A. 24 12
O B. i o 1 2
O C. 24 6
O D. i o 6
5. Simplify the following expression.
6"2 x 6 5
O A. 6 -io
O B. 6 3
O C. 6-7
O D. 6 2
6. Simplify the following expression.
3x"5 + 3x~5
O A.
6x "5
O B. 6
O
C.6x
O D.
6 x -io
7. Simplify.
O A. _J__.
64
O B._L
64
O
C.-64
O D . 1
256
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8-
2 • 54
Simplify:
r
\4
1
15
3
O A. IO 4
312
O B.
24513
33
O c.
IO 8
312
O D.
25 5
37
9. Simplify the following expression.
4-10
O
o
o
o
A.
' 1,048,576
B. 1,024
c. v
' 1,024
D. 1,048,576
?9
s•implify:
3 of 7
45
v
10
o
o
o
o
x
73
A. 7 6
B. 7 1 2
C. ? 9 _ 7 3
D. 7 3
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( Scientific Notation )
1. Express the following quotient in scientific notation.
(3.025 x IO" 12 ) -5- (5.5 x IO 2 )
O A. o.55 x IO"6
O B. 5.5
x
IO"5
O C. 5.5
x
IO" 15
O D. 5.5 x IO" 14
2. Express the following quotient in scientific notation.
(2.32 x IO 8 ) * (4 x IO 2 )
O A. 5.8 x IO 6
O B. o.58 x IO 6
O
c
- 0.58 x IO 4
O
D
- 5.8 x IO 5
3. Express the following product in scientific notation.
(3 x IO"4) x (2.39 x IO 11 )
O A. 7.17 x IO 7
lof5
O B. 7 . i 7
x
IO 8
O C. 7.17
x
IO 6
O D. 7 i . 7
x
IO 6
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4. Express the following product in scientific notation.
(6 x IO 6 ) x (9.31 x IO 12 )
O A. 5.586 x IO 1 9
O B. 55.86 x IO 2 0
O C. 5.586 x IO 1 7
O D. 5.586 x IO 1 8
5. Express the following product in scientific notation.
(2.7 x IO"7) x (5 x IO 5 )
O A. 13.5 x IO"3
O
B
- 1.35 x IO"3
O C. 1.35 x IO"2
O D. 1.35 x IO" 1
6. How do you write the standard number 0.6618 in scientific notation?
O A. 6.618 x 10" 1
O
B
- 0.6618 x 10"°
O C. 661.8 x IO"3
O D. 66.18 x IO"2
7. An aerospace engineer needs to calculate the product of the following
measurements to the correct number of siginifant digits. Which value is correct?
(3.5 x IO 5 ) x (2.115 x IO 6 )
O A. 7.403 x IO 3 0
O B. 7.4
x
io30
O C. 7.403 x 10 1 1
O D. 7.4
2 of 5
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1011
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8
- How do you write the number 3.427 x 10 in standard form?
O A. 3,427,000
O B. 342.7
O C. 342,700
O D. 34,270
9. Evaluate the following.
8 x IO 7 m 4- 2.9 x IO 2 m
O A. 2.76 x IO 5 m
O B. 23.2 x IO 5 m
O C. 2.8 x IO 9 m
O D. 2.8 x IO 5 m
10. Express the following product in scientific notation.
(9 x IO"5) x (7.84 x IO"9)
O
A
- 7.056 x IO" 13
O B. 7.056 x IO" 14
O C. 7.056 x IO" 12
O
D
- 70.56 x IO" 14
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(FunctionsJ
1. What is f(x) in this formula if 3 is used for x?
f(x) = x(7 - 6x)
O A. -90
O
B.-33
O
C.-328
O D. -192
O E. None of the above
2. Billie Sue's BBQ had their grand opening this year. The first month they did not
turn a profit. However, each month thereafter, they have had steady profits of
$1,600 per month. If x represents the number of months they have profited,
which of the following functions represents the amount of profits after x months?
O A. f(x) = x + 1,600
O B. f(x) = l,600x + x
O C. f(x) = l,600x
O D. f(x) = 1,600 - x
3 . If f(x) = 3|x + 7| + 7, find f(3).
O A.-5
O
B.-19
O C. 19
O D. 37
4. At the beginning of the summer, Jenna had saved $272. To earn money over the
summer, she is working part time at the local community center. She will earn
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$35 per day of work. If x represents the number of days she works, which of the
following functions represents how much money will she will have, including her
savings?
O A. f(x) = 272x + 35
O B. f(x) = x + 35
O C. f(x) = 272 - 35x
O D. f(x) = 35x + 272
5. On Fridays at the ballpark, a cup of soda is $2; each refill is $0.80. If x
represents the number of refills, which of the following functions represents the
amount a person spends on soda?
O A. f(x) = 0.8x + 2.8
O B. f(x) = 2x + 2.8
O C. f(x) = 2x + 0.8
O D. f(x) = 0.8x + 2
6. Gene recently started jogging. Last week he jogged 15 minutes. He decided to
add 6 minutes to his jog each week. Which of the following functions represents
how long his jog will be after x additional weeks?
O A. f(x) = 15x + 6
O B. f(x) = 6x + 21
O C. f(x) = 15x + 21
O D. f(x) = 6x + 15
7- If f(x) = x 2 + 7x - 6, find f(3).
O A. 18
O B. 36
O C. 21
O D. 24
8. Gus has a lunch food budget of $110 per month. He spends an average of $5 per
day on lunch. Which of the following functions represents how much money is
left in his lunch budget after x days of buying lunch?
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O
O
O
O
A. f(x)
B. f(x)
C. f(x)
D. f(x)
=
=
=
=
HOx - 5
110 - 5x
5x - 110
110 + 5x
9. Carrie's Catering is having a special on their box lunches. The minimum purchase
is 12 boxes for $120. Each additional box is $8. If x represents the number of
boxes over the minimum, which of the following functions represents the cost of
box lunches during this special?
O
O
O
O
A. f(x)
B. f(x)
C. f(x)
D. f(x)
=
=
=
=
120x - 8
120 - 8x
8x + 120
120x + 8
10. Polly is going on a road trip, and she is figuring out what time she will arrive at
her destination if she leaves her house at 8:00 in the morning. She needs to
determine how long it will take her car to travel fifty miles if she drives 55 miles
per hour for the entire trip.
In the problem situation above, which variable is the independent variable?
O A. time it takes to travel fifty miles
O B. Polly is going on a road trip.
O C. leaving at 8:00 a.m.
O D. speed of the car
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Linear vs. Non-Linear Functions
1. Identify the correct form of the following sequence.
4 , 20 , 1 0 0 , 5 0 0 , ..,
O A. f( x ) =
O B. f ( x )
ab
x
= xn
O C. f( x ) =
a
x
+ b
O D. f(x) = mx + b
2. Identify the correct form of the following sequence.
8 , 2 4 , 7 2 , 216 , ...
O A. f(x) = mx + b
O B. f ( x )
=
O C. f ( x )
= xn
O D. f ( x ) =
ab
a
x
x
+ b
3. Classify the following function.
f(x) = 5x - 9
O A. both linear and non-linear
O B. neither linear nor non-linear
O C. non-linear
O D. linear
4. Identify the correct form of the following sequence.
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__— r
/
]
X. cL. j
J- I
f
O A. f(x) = mx + b
O B. f ( x )
= ab
O C. f ( x )
= x
O D. f ( x ) =
x
n
m
/ + b
5. Classify the following function.
f(x) = x 5 + 8
O A. linear
O B. neither linear nor non-linear
O C. both linear and non-linear
O D. non-linear
6. Identify the correct form of the following sequence.
6 , 2 4 , 96 , 3 8 4 , ...
O A. f ( x ) =
x
O B. f ( x ) =
a
n
x
+ b
O C. f(x) = mx + b
O D. f ( x ) ____ abx
7. Identify the correct form of the following sequence.
6 , 8 , 10 , 12 , ...
O A. f ( x ) = x n
O B. f(x) = mx + b
O C. f ( x ) = m / + b
v
'
X
O D. f( x ) ___= a b x
8. Classify the following function.
2
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f(x) = l l x + x 2
O A. linear
O B. neither linear nor non-linear
O C. both linear and non-linear
O D. non-linear
9. Classify the following function.
f(x) = - V 7 x
O A. linear
O B. both linear and non-linear
O C. neither linear nor non-linear
O D. non-linear
10. Classify the following function.
f(x) = 4
O A. both linear and non-linear
O B. linear
O C. neither linear nor non-linear
O D. non-linear
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(Linear Functions'!
1. Four points from a line are shown in the table below.
INPUT OUTPUT
-1
11
0
9
1
7
2
5
Use the table to determine the slope-intercept form of the equation of the line.
O
O
O
O
2
A. y
B. y
C. y
D. y
=
=
=
=
9x - 2
-2x + 9
-2x - 9
2x + 9
- Given the function y =
/ x - 9, which set of numbers completes the table?
INPUT OUTPUT
-4
-6
0
4
8
O
O
O
O
lof 10
A. 9, 6, 3
B. -9, -12, -15
C.-10, -14, -18
D. -9, -6, -3
4/5/11 10:00 AM
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3- Given the function y = / x - 3, which set of numbers completes the table?
INPUT OUTPUT
0
-3
3
6
9
O
O
O
O
A. -2, -1, 0
B.-1, 1, 3
C. -5, -7, -9
D. 5, 7, 9
4. Four points from a line are shown in the table below.
INPUT OUTPUT
-3
9
0
7
3
5
6
3
Use the table to determine the slope-intercept form of the equation of the line.
O A. y = 3 / 2
O B.y
=
+ 7
x
-2/3X
+
7
O C. y = 3/4 x - 7
O D. y
2 of 10
=
-2^
x
_ 7
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5.
The line above goes through points (-4,0) and (0,4). What is the equation of the
line above?
O A. y = (-l)x + 4
O B. y=
(l)x-4
O C. y = ( l ) x + 4
O D. y = (2)x + 4
6. Four points from a line are shown in the table below.
INPUT OUTPUT
-4
9
0
12
4
15
8
18
Use the table to determine the slope-intercept form of the equation of the line.
O A. y = 4/ x - 12
5
4
O B. y = / 5
x
+ 12
4
O C. y = / 3 X + 12
O D. y
3 of 10
=
3/
x
+ 12
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7.
The line above goes through points (-2,3) and (0,2). What is the equation of the
line above?
O A. y = (-l)x + 1
O B. / = (-2)x + 2
°
c
-y= fV2)x + 2
O D.y=
( -V 2 )x
-2
8.
The line above goes through points (-5,1) and (5,-5). What is the equation of the
line?
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O A. y = ( -3/ 5 ) x +
°
B
2
- y = ("%)* - 2
O C. y = ("7 3 )x + 2
O D. y = ( -5/ 3 ) x .
2
9.
o—
~~ -___
(-2,4)
4 a
•4 "
~'-*r"i
•J
*
""--__
(2,2)
0 >
z •
^.-.__
1 .
I "
5
3.
.
-I
""""--/>
1 -- 1 J• 1
1
-_L
V
1
'[
' Ji
_
"
o _
-o •
_4 .
"4 "
=§-What is the equation of the line above?
O A. y = J-/ x +
8
O B.y=-V2x + 3
O C. Y = -2x + 3
O D. Y = 2x - 2
10. Four points from a line are shown in the table below.
I N P U T OUTPUT
5 of 10
-2
-18
0
-8
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2
2
4
12
Use the table to determine the slope-intercept form of the equation of the line.
O A. y = 5x - 8
O B. y = -5x - 8
O C. y = -8x + 5
O D. y = 5x + 8
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Graphical Properties of Linear Functions /
1. Given the linear equation y = -7x + 6.
What would be the equation of the line if the y-intercept is decreased by 3?
O A. y = -7x + 9
O B. y = -7x + 3
O C. y = -4x + 6
O D. y = -lOx + 6
2.
The line given by the equation y = (~4/7)x + 1 is graphed above.
If the y-intercept is increased by 5, then how is the graph of the line affected?
O A. The line is shifted 5 units down.
O B. The line is shifted 6 units up.
O C. The line is shifted 5 units up.
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O D. The line is shifted 6 units down.
3. What is the y-intercept of the line given by the following equation?
y = -2x + 3
O A. 3
O
B.-2
O C. 1
O D.3,
4
- The line given by the equation y = ( 4 / y )x - 2 is graphed below.
If the slope of the line is increased by 1 and the /-intercept is decreased by 2,
how is the graph of the line affected?
O A. The line will fall more slowly from left to right and the line is shifted 2 units up.
O B. The line will fall more quickly from left to right and the line is shifted 2 units up.
O C. The line will rise more slowly from left to right and the line is shifted 2 units down.
O D. The line will rise more quickly from left to right and the line is shifted 2 units down.
5.
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The line given by the equation
Y = (7 5 )x + 1
is graphed above. If the slope of the line is increased by 1, how is the graph of
the line affected?
O A. The line will rise faster as you move from left to right.
O B. The line will fall slower as you move from left to right.
O C. The line will rise slower as you move from left to right.
O D. The line will fall faster as you move from left to right.
Determine the slope of the line above.
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O A.
2
"5
O B.
1
~1
O c.
3
~2
O D.-2
7. What is the slope of the line given by the following equation?
y = "V7x + 5
u
O
A.
o
o
C. 5
'%
B. -5
D. -7
5x — lit/ = 33
8,
What is the slope of the line given by the linear equation above?
o A. 5
~11
o B. 115
o c. " 511
o D. 5
11
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9.
Determine the slope of the line above.
O A. _2
3
O B. _3
2
O C. - 3
O D. _ i
3
10. Which of the following describes the equation y = 16x?
O A. linear and not proportional
O B. non-linear and proportional
O C. non-linear and not proportional
O D. linear and proportional
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Generated By: Lisa Fisher
Symbolize Problem Situations^
1. Janet currently pays an annual health insurance premium of $321. The premium
increases 4 % annually. Approximately what will Janet's premium be in 4 years?
O A. $375.52
O B. $390.55
O C. $372.36
O D. $337.00
2. Identify the correct function for the following sequence.
11 , 15 , 19 , 23 , ...
O A. f(x) = -4x + 15
O B. f(x) = 4x + 11
O C. f(x) = 4x + 16
O D. f(x) = . x + 10
3. Bonnie invested $4,000 two years ago in an account which compounds interest
annually at 7%. How much is Bonnie's account now worth?
O A. $4,560.00
O B. $4,900.17
O C. $4,579.60
O D. $4,280.00
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4. Shannon is moving from San Antonio to Mineral Wells and rented a truck from
U-Move-It truck rentals. The cost of a one-day truck rental is given by
C(m) = 0.5m + 40
where m is the number of miles driven. If Shannon drives 260 miles, what is the
cost of the truck rental?
O A. $175.00
O B. $196.00
O C. $130.00
O D. $170.00
5. Mavity's Furniture discounts all furniture 6% to customers paying in cash.
Rhonda paid $1,292.51 in cash for a sofa, loveseat and chair. What was the
original price of the furniture?
O A. $1,375.01
O B. $1,370.06
O C. $775.51
O D. $1,214.96
6. Jake is taking four of his friends to dinner. At the restaurant, a meal, side,
dessert, and drink cost $7.39. The first drink is included with the meal, but each
refill costs $0.57. If Jake doesn't want to spend more than $45.00 on the meal,
which of the following inequalities can be used to find r, the number of refills
Jake and his friends can have?
O A. $7.39 + $ 0 . 5 7 r > $45.00
O B. $36.95 + $ 0 . 5 7 r < $45.00
O C. $0.57 + $ 3 6 . 9 5 r < $38.00
O D. $29.56 + $ 0 . 5 7 r > $16.00
7. Identify the correct function for the following sequence.
18 , 7 , -4 , -15 , ...
O A. f(x) = -lOx + 28
O B. f(x) = x + 17
O C. f(x) = lOx + 8
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O D. f(x) = - l l x + 18
8. Reid's Hardware discounts all riding lawnmowers 9% to customers paying in
cash. If Trey paid $1,227.32 in cash for a riding lawnmower, which of the
following equations can be used to determine the original price of the
lawnmower?
(Letx represent the original price of the lawnmower and y represent the
discounted price.)
O
O
O
O
A. y
B. y
C. y
D. y
= x - 9x
= 1.09x
= 1.9x
= 0.91x
9. You pull into the neighborhood gas station to fill your car up with gas. The
91-octane gas is selling for $1.91 a gallon. You use the pay at the pump feature
and decide to get your car washed for an extra $8.00. What is the total amount
of your purchase if you get 10 gallons of gas?
O
O
O
O
A.
B.
C.
D.
$27.10
$28.10
$19.10
$29.60
10. Blade-Z manufactures roller blades. The production facility has fixed costs of
$200 a day and total production costs of $4,200 per day at an output of 100 pair
of skates per day. Which of the following equations represents the daily
production cost for Blade-Z based on the number of skates manufactured?
(Let C(x) represent the daily production cost and x represent the number of pairs
of skates manufactured.)
O A. C(x) = 40x - 200
O B. C(x) = 42x
O C. C(x) = 42x + 200
O D. C(x) = 40x + 200
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Generation Date: 0 4 / 0 5 / 2 0 1 1
Generated By: Lisa Fisher
Writing Linear Equations]
1. Convert the following linear equation to slope-intercept form.
-3x - 5y = -5
O A. y
=
3/ x . i
5
O B. y = - 3 / 5 X + 1
O C. y = - 3 / 5 X - 1
O D. y = 3 / ^ + 1
2. What is the equation for a line that passes through the points
(-4, 0) and (8, 12)?
O
A.
3/ = * - 4
O B. y
°
c
o
D. y
=
^
+
3
- y = \x + 2
= % +4
3. Convert the following linear equation to standard form.
y - 9 = -fa
- 3)
O A. - 3 J ? - 2y = 2?
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O B. 3x + 2y = 27
°
c
- \x + y = 6
O D. 3
,
27
4. Given (7,-5) is a point on the following line, convert the equation to point-slope
form.
5x + 7y = 10
7
O A. yy .- 55 == "'7
/ (x - 7)
5
O B. y . 5 = - 5 / 7 ( x - 7 )
O C. y + 5 = 5(x - 7)
O D. y + 5 = -5/ 7 ( x .
7)
5. A line passes through the point (8,4) and has a slope of - 2 . Find
the equation of the line.
O
A.
y = - 2 x + 20
O
B.
y = 2x + 12
O c. y = -2x + 12
O D.y =
6
- A line has a /-intercept of 9 and a slope of / . Find the equation of the line.
o
o
o
o
2 of 9
2a? + 2 0
A. y = 9x + 8 / 3
B
- y = 8/3x + 24
C.y = 8 / ^ +
9
•>• y = 8 / 3 x - 9
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7. A line has a /-intercept of 5 and a slope of 5. Find the equation of the line.
O A. / = 5x - 5
O B. / = 5x + 25
O C. / = 5x + 5
O D. y = 5 /
'
x
. io
4
8. Given (-3,y ) is a point on the following line, convert the equation to point-slope
form.
y = 4x + 8
O A. y + 4 = 4(x + 3)
O B. y - 8 = 4(x - 3)
O C. y - 4 = 4(x - 3)
O D. y - 8 = 4(x + 3)
9. A line passes through the point (1,3) and has a slope of - 7 . Find
the equation of the line.
O A. y = -7v + 10
O B. y = 7_r -f 4
O C. y = 7_r + 10
O
D.
y = — 7x + 4
10. Convert the following linear equation to standard form.
y - 5 = B(x - 4)
O A. Bx + y = 15
O B. $x - y = 15
O C.5s - y = - 1
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O D . 5 ^ - y = -is
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^oTvelEquations & Ineojjalitiesj
1. Solve for x in the following equation.
x2 - 6 = 5
O A. x = 1 or x = -1
O B. x = V l l or x = - V~ll
O C. x = 7(5/j o r x = - V~(5/ )
D
D
O D. x = V - l or x = -
V-l
2. Solve for x.
4(<c -f 1) = 3(x + 1)
O A.X
=
O B. x =
0
c>
x =
O D. tc =
2^
"I
7
-3
2
<gj-°~—•
-
4
•
-
3
"•'$'
-
2
%
-
1
0
1
"'"""
2
3
4
5
Which inequality is graphed on the number line?
O A. x < -1 or x > 2
O B. x < -1 or x > 2
O C. - l < x < 2
O D. x < -1 or x > 2
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4. Solve for
x.
- >
2 -
O
O
O
O
-4
*
A. x > - 8
B. x < - 8
C. x > - 9
D. x < -9
5. Which value for x makes the sentence true?
5x = -2x + 28
O A. 6
O B. 8
O C. 0
O
D.4
6. Solve for
x.
9(x - 4) = 3x - 6
O A. oc = 7
O B. x = 4
O c. * = 5
O D. ^ = 6
7. Solve the following equation for x.
3 / x = 13
2 of 7
O A. x =
13
O B. x =
196
/3
/g
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O C. x
=
«»,
O D. x = 169/
16
8. Solve for x in the following equation.
(x - 13) 2 = 26
O A. x = V~195 or x = - V~195
O B. x = 13 + ^ 2 6 or x = 13 - V~26
O C. x = ^ 3 9 or x = - V~39
O D. x = 39 o r x = -39
9. Solve for x.
4x < 2 + 2x
O A. x > 1
O B. x < 4
O C. x > 4
O D. x < 1
10. Solve for x.
Sx -f 3 = 3x + 21
O A. a? =
O B. *
3 of 7
-3
=
5
O C. tc =
3
O D. x =
4
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Simplify & Evaluate Expressions)
1. If x = 3 and y = -3, what is the value of the following expression?
4(3x + 4y) 2 - 5y 2
O A. 81
O B. -9
O
C.-18
O D. -45
2. Simplify: 4 3 + (8 x 4 3 )20 - 36 =
O A. 10,268
O
B.-10,212
O C. 10,340
O
D.-8,128
3. Simplify the following expression.
4^(18) + 7^(32)
O A. 7 7 ^ 2
O B. 36V"2
O C. 18V"2
O D. 40V"2
4. Evaluate the following expression for z = 401.
8 -f 6 v T ^ l
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O A. 280
O B.134
O C.122
O D.128
5. If x = 4 and y = -2, what is the value of the following expression?
4x(3xy 2 + 4y 3 )
O A. 36
O B. 48
O C. 256
O D.132
6. Evaluate the expression below.
2 x ^ 2 5 - 24 -r 6
O
O
O
O
A. 6
B. 14
C.-2
D. -1
7. Evaluate the following expression for k = 120.
134 - 7v/FTl
O A. 1,397
O B.57
O c. 77
O D. 211
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8. E v a l u a t e the following expression for m = 36.
\/4m -(- 8
O A. 32
O
B.4
O c.16
O
D.20
9. Simplify the following expression.
5V r (72) + 7 ^ ( 5 0 ) - 5V r (98)
O A. 37V~3
O B. 30V~2
O C. 37V"2
O D. 3 5 ^ 3
10. Evaluate the following expression when n = 8.
2\7 - n\ - 1-111
O
O
O
O
3 of 7
A. 9
B.-20
C.-9
D. -13
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Absolute Value
1. A clothing designer is selecting models to walk the runway for her fashion show.
The designer prefers models that are no more than 2 inches away from being
5'10". Since 5'10" is the same as 70", which inequality could be used to
determine if a model's height, x, is within the designer's preferred height range?
O A. | x - 7 0 " | > 2"
O B. | x - 7 0 " | < 2"
O C. X - 70" < 2"
O D. X - 70" > 2"
,__/"'.
<">
2.
-4
-3
-2
- 1 0
1
2
3
4
5
Which inequality is graphed on the number line?
O A. |x| < 2
O B. |x| < 3
O C. |x| > 2
O D. |x| < 2
3. Caleb is a machinist at Golden Eagle Chopper Shop. To ensure the reliability of
the motorcycle engines produced at the shop, Caleb machines each cylinder to
4.010" diameter with a tolerance of 0.0002". Which inequality could be used to
determine if a cylinder's diameter, x, is acceptable?
O A. 4.010 - x < 0.0002
O B. x - 4.010 > 0.0002
O C. | x - 4 . 0 1 0 | < 0.0002
O D. | x - 4 . 0 1 0 | > 0.0002
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4. Solve:
|x - 7| - 16 < -7
O A. 2 < x < -16
O B. -2 < x < 16
O C. -16 < x < 2
O D. 16 < x < -2
5. Solve:
| 5 x - 10| = 2
" { "12/5 , % >
°
A
°
B
o
c
- { "% , "12/5 >
- {8/5, '% >
O D. None of the above
6.
-
3
-
2
-
1
0
1
2
3
4
5
6
7
Which inequality is graphed on the number line?
O A. |x| > 1
O B. |x| > - l
O C. |x| < 1
O D. |x| < 1
7. Solve:
|x - 5| - 2 = :
O A. { 8 , -2 }
O B. { 8 , 6 }
O C. { 8 , 2 }
O D. None of the above
8. Solve:
|x + 6| = 9
O A. { 3 , -15 }
O B. { - 3 , - 1 5 }
O C. { 3 , -3 }
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O D. None of the above
9. Solve:
O
O
O
O
|3x - (5x - 10)| > 8
A. x > 1 or x <. 9
B. 1 < x < 9
C. x < -1 or x > -9
D. x < 1 or x > 9
10. Solve:
-2-x| =6
O A. { -8 , 8 }
O
B. { -8 , 4 }
O C. { 8 , -4 }
O D. None of the above
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Systems of Equations
1. The system of equations
-2x- 2y = -10
-5x + 3y = -17
is graphed below. Find the solution to the system.
-to
- 4-_3-
—
T
i
i
•
. ... J __
!
|
__s .._
/1
/
z~
/
... _i _
CD
k
1
1
1
0i
1
Olt
1
v~I
-i
.2-
--5-
CN
1/
CX
i
ir
A"K
i
•*
i
rw
W V 'J
i
j
x
J
--3-_4-
1
—A
i
i
JT-t
O
O
O
O
A. x =
B.x=
C. x =
D. x =
4, y
1,/
4, /
5, y
=2
=4
= 1
=1
2. Bo and Erica are yoga instructors. Between the two of them, they teach 37 yoga
classes each week. If Erica teaches 11 fewer than twice as many as Bo, how
many classes does each instructor teach per week?
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O A. 13 Bo; 24 Erica
O B. 20 Bo; 17 Erica
O C. 16 Bo; 21 Erica
O D. 18 Bo; 19 Erica
3. Joanna went school supply shopping. She spent $36.34 on notebooks and
pencils. Notebooks cost $2.03 and pencils cost $1.39. She bought a total of 22
notebooks and pencils. How many of each did she buy?
O A. 14 notebooks; 8 pencils
O B. 7 notebooks; 15 pencils
O C. 12 notebooks; 10 pencils
O D. 9 notebooks; 13 pencils
4. Use elimination to find the solution to the system of equations.
7^7 + 4y = -19
2x + 6y = 14
O A. x = 3, y = -10
O
B.
* = -5, y = 4
O c
23
1
^ **• x = —y> y = 1
O D. x = -17, y = 8
5. Mandy's Candies is most famous for their homemade fudge and homemade
toffee. They make an average of 152 pounds of fudge and toffee combined each
month. They sell a pound of fudge for $9.76 and a pound of toffee for $7.40.
Mandy's averages $1,285.28 each month in fudge and toffee sales. On average,
how many pounds each of fudge and toffee does Mandy's Candies sell each
month?
O A. 68 fudge; 84 toffee
O B. 71 fudge; 81 toffee
O C. 57 fudge; 95 toffee
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O D. 74 fudge; 78 toffee
6. Use elimination to find the solution to the system of equations.
2x + 2y = 28
Sx - 7y = 46
O A. x _ ?J, y _
8
O B. x = 2, y = 12
O c. a? = 9, y = 5
OD.X
=
H,J,
=
4
7. Sue's Sushi placed two orders with their fish supplier. One was for 13 pounds of
salmon and 8 pounds of tuna; the order totaled $228. The other order was for 10
pounds of salmon and 6 pounds of tuna; this order totaled $174. What is the
cost each of one pound of salmon and one pound of tuna?
O A. $8 salmon; $13 tuna
O B. $14 salmon; $7 tuna
O C. $9 salmon; $12 tuna
O D. $12 salmon; $9 tuna
8. The system of equations
3x - 3 / = 15
3x + 3y = -3
is graphed below. Find the solution to the system.
3 o f l 2
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a4"
J"
'_:"
1 ""
•=1-
1n
c
1
X
T-
CN
i
cp
i
ti-
_»"
Xu
-i
-•_!"
--O"
-4~
~
-
-J ^
v
O A. x = 2, y = 3
O B. x = -2, y = -3
O C. x = 2, y = -3
O D. x = -2, y = 3
Use substitution to solve for y in the system of equations.
2x - 3y = 28
4_c -f y = 42
2
o
o
A. y
B. y =
-5
o
c. y
=
-2
o
D. y
=
T
4
10. Describe the solution to the system of equations below.
4x - y = 8
16x - 4y = 32
O A. The system has the unique solution (4, 8).
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O B. The system has the unique solution (-3, -20).
O C. The system has infinitely many solutions of the form y = 4x - 8 where x is any real
number.
O D. The system has no solution.
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Generation Date: 0 4 / 0 5 / 2 0 1 1
Generated By: Lisa Fisher
Pythagorean Theorem]
1. A triangle has sides that measure 5 cm, 12 cm, and 13 cm. What type of triangle
is it?
O A. isosceles triangle
O B. equilateral triangle
O C. acute triangle
O D. right triangle
2.
If N = 37 cm and L = 12 cm, w h a t is the length of M ?
O A. 33 cm
O B. \/l,513 cm
O c. 34 cm
O D. 35 cm
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3.
5
4
3
2
1
-7
-6
-4
-5
-3
-2
A'
-1
0
1
2
3
4
B
5
6
-1
-2
-3
Find the distance between A and B.
O
O
O
O
A. \/lO units
B. 9 units
c. 4\/5 units
D. s/82 units
4. Find the perimeter of the right triangle pictured below.
* triangle not drawn to scale
12 cm
37 cm
O A. 35 cm
O B. 210 cm
O C. 84 cm
O D. 38.9 cm
5. Find the perimeter of the right triangle pictured below.
* triangle not drawn to scale
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3 cm
8 cm
O A. 12 cm
O B. 18.42 cm
O C. 8.54 cm
O D. 19.54 cm
6.
If O = 53 cm and P = 28 cm in the right triangle above, w h a t is
the length of R ?
O
O
O
O
A. 5 cm
B. 48 cm
C. 45 cm
D. 43 cm
7.
If Y = 8 cm and Z = 15 crn, w h a t is the length of X ?
O A. N/161 cm
O B. 18 cm
O C. 17 cm
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O D. 21 cm
8. Mrs. Bird set-up her kindergarten classroom so that there was a right triangular
shaped reading area formed by the bookshelves. As shown in the picture below.
\
A
N
V c\
h
\
B
Mote: Picture not drawn to scate.
If bookshelf A is 6 feet long and bookshelf B is 8 feet long, what is the length of
bookshelf C?
O
O
O
O
A.
B.
C.
D.
10
14
16
12
feet
feet
feet
feet
9. Ben is building a storage box for the sail of his boat. The left side of the box is
6 ft long and the right side of the box is 8 ft long. The left and right side form a
right angle, as shown in the picture below.
Note: Picture not drawn to scale.
What is the length of the base of the box?
O A. 10 feet
O B. 7 feet
O C. 14 feet
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O D. 9 feet
10. A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is
it?
O A. equilateral triangle
O B. isosceles triangle
O C. right triangle
O D. acute triangle
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Generation Date: 0 4 / 0 5 / 2 0 1 1
Generated By: Lisa Fisher
(7ir^eT¥^endicularImeg
1. Quadrilateral ABCD has vertices at coordinates (0,4), (6,4), (6,0), and (0,0),
respectively. Which of the following statements gives the strongest condition
satified by figure ABCD?
O A. Quadrilateral ABCD is a square.
O B. Quadrilateral ABCD is a trapezoid.
O C. Quadrilateral ABCD is a rectangle.
O D. Quadrilateral ABCD is a rhombus.
2. Given the two equations below, determine which statement best describes the
graph of the equations.
y = g.c + 3
y = -\x
-r 14
O A. The two lines given by the above equations are perpendicular.
O B. The two lines given by the above equations intersect (but are not perpendicular).
O C. The two lines given by the above equations are parallel.
O D. The two lines given by the above equations coincide.
3x + 5y = 4
5x - 3y = 4
Are the lines of the equations above parallel or perpendicular?
O A. neither parallel nor perpendicular
O B. perpendicular
O C. both parallel and perpendicular
O D. parallel
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4. Which of the following equations represents a line which is parallel to the line
pictured below, and contains the point (3,6)?
r|
|
-j3
y
..'5 ___
1
y y
"1
<f
1
{
I
& -
I\
\
\
5 -
A
. i
\\
1
./p
f
I -I
1
-\ -
/
-A
I
t
1
L
1)
O A. y = _3/2x + 4 1
O B. y
=
_2/ 3 X
+ 4
-j
/
£
. >
•
(P
J
i
\
V v
f* 8" °v jd .^
2 -
=.......
—.,
•
-b5 -
--_M-
l/^'
I
1
>/
..
-
O C. y _ 2 / 3 x + 4
O D. y
=
^ x
5. Which of the following is the equation of a line that is parallel to 3y = -9x + 6
and that has a y-intercept of -2?
O A. y - 3x = -2
O B. y = -2x + 2
O C. y = -3x - 2
O D. y = -2x - 6
6. Which of the following is the equation of a line that is perpendicular to 3y
9 and that has a y-intercept of 9?
-x +
O A. y = 3x + 9
O B. y - 3x = -9
O C. y = 1/ X + 9
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O D. 3y = 3x + 9
7. Given the two equations below, determine which statement best describes the
graph of the equations.
y = %x - 4
y = — KX -f 17
O A. The two lines given by the above equations coincide.
O B. The two lines given by the above equations are perpendicular.
O C. The two lines given by the above equations intersect (but are not perpendicular).
O D. The two lines given by the above equations are parallel.
8. Side AB of parallelogram ABCD has endpoints at (-1,2) and (4,3). What is the
slope of the opposide side, CD?
0
A.
0
B.
0
0
C. -5
%
-'/_
D. 5
9. Find the equation of the line that passes through the point
(4, 14) and is perpendicular to y = 4x - 4.
O A. y
_
_-£
_l_ ]_5
O B. y = 4x + 10
O c. y = 4x - 18
O D. y = _^ + 1 3
10. Find the equation of the line that passes through the point
(-2, 13) and is perpendicular to y = —2x + 9.
O
A.
y = -2x + 15
°B-j/ = ^+14
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°
C
y = \x ~r 12
O D. y = -2x
4of9
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Generation Date: 0 4 / 0 5 / 2 0 1 1
Generated By: Lisa Fisher
Scatter Plots
1. Use the given line of best fit to approximate the rate of change relative to the
scatter plot below.
10
9
en 8 _ ^
"53
a. 7
•M
c 6
a.
en 5
_o
< 4
"5 3
o 2
_E 1
O
•&———
.,
(j
_____ _
——
_=_^_
. i
""^« —
-•
i
—
zzzzizzzz:
_——, •
1
2
3
4
5
6
7
~o
8
9
Daily W a t e r I n t a k e
O A. .1/
days/cup
O B. _2/5
dayS/CUp
O C. .9/.10 days/cup
O D. .5/ days/cup
2. Use the given line of best fit to approximate the rate of change relative to the
scatter plot below.
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Traffic Accidents vs. Rainfall
V
1/1
in
4J X
U t
c
CD
T3
9
o
u
<
8
1
£
5
1
t 4S 3
2 2£
3
Z
r-"
i
J - ^
<< >
l.
X
1 2 3 4 5 6 7 8 9
Consecutive Hours of Rainfall
O
A
O
B. 1 accident/hour of rain
O
C. /
-
/
>x
accidents/hour of rain
accidents/hour of rain
8
O
D. /
accidents/hour of rain
3. Use the given line of best fit to approximate the rate of change relative to the
scatter plot below.
10
9
*J
Q. 8
O
T5 7
< 6
a> 5
a.
>+o 4
_- 3
cu
_a 2
S 1
T_
CU
^
1
' _^-^i
*•>
(
1
3
Z
1
2
3
4
5
6
7
8
9
Number of Pet Shelter TV Ads
2 of 12
O
A. 3 /
adoptions/ad
O
B. /
adoptions/ad
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O C. x/
adoptions/ad
O D- x/
adoptions/ad
4. The table below shows how many calories a person burned after exercising for
different amounts of minutes.
Minutes of Exercise Calories Burned
10
45
20
100
30
153
40
206
50
241
60
303
70
347
80
400
90
452
The data listed in the table is plotted below.
Number of Calories Burned From Exercise
500
' _v*^"" "
1 ^
|
300
|
200
_
• ••
8 ioo
0
J
_
^
"
*
•_ x ~
.
•
•
^
~
'
-
"I
20
40
.
•••
-
1
•
••
—
I
I
60
80
100
M m r t e s o f Exercise
Which of the following lines fits the data the best?
O A. y = -5x + 140
O B. y = 5x - 1.4
O C. y = -5x - 1.4
O D. y = 5x + 140
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5. Use the given line of best fit to approximate the rate of change relative to the
scatter plot below.
0
10
9
en 8
O 7
.£ 6
ro -
£
<>
4
• I^ J .-*"'
_^___
Oi 3
'5
__»__.
* ^
II
j - * " * ^
I.
i •—J
9
e—
j f
_ ^
I r
1
2
3
4
5
6
7
8
9
N u m b e r of D o u g h n u t s E a t e n
A
" XlA pounds/doughnut
O B. l/
pounds/doughnut
O
C. /
pounds/doughnut
O
D. 3/ 4 pounds/doughnut
6. The average height for boys is shown in the table below.
Age in Years
Height in
Inches
i
:
2 !
3 j
4 ;
__J
5 J
6
7 j
39 j 42 j 44 ! 46.75) 49
31 ; 36
i
1
8 |_9
|
10 !
51 ! 53.25J 55.25
i
The data listed in the table is plotted below.
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Average Height for Children 1 - 1 0
65
60
55
50
45
40
i/>
•g
•£
£
en n r
"S •*
1
30
25
.•*
J_*»
A*-
6
8
Age (years)
10
12
Which of the following lines fits the data the best?
O A. y
=
O B. y
=
-11/
lf
75
x
+ 31
+
x
31
O C. y = " 7 / 3 x + 31
O D. y
=
U/5
X
+ 31
7. Bobby and June went on a road trip. The scatter plot below shows how far they
had traveled after each hour of the trip.
Bobby and June's Trip
,—\
CO
J__!
£
c
~o
J_
>
CO
__
h(J
c
*->CO
00
Q
600
sso
soo
4S0
400
3S0
300
250
200
150
100
50
0
5 of 12
/
/
Z
7
1 2 3 4 5 6 7 8 9
Hours Passed
10 1112>x
4/5/11 10:02 AM
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Based on the trend shown by the line of best fit, how far had Bobby and June
expected to travel after six hours?
O A. 300 miles
O B. 280 miles
O C. 330 miles
O D. 350 miles
8. Use the given line of best fit to approximate the rate of change relative to the
scatter plot below.
Hats Sold vs. Games Won
5f
"o
^
CO
1/1
i
40
'
^
•
*S*
(0
I 30-
y
^ >"
/ "
ID
m 20y
-'-'
o
_. 10
S-
cu
_•
E
3
2
1 2 3 4 5 6 7 8 9
Number of Games Team Won
+x
O A. 4 hats/game
O B. 3.75 hats/game
O C. 3.25 hats/game
O D. 3 hats/game
9. Mrs. Walker asked her college students to keep track of how much time each of
them spent studying for their final exam. The study time and exam scores are
shown in the table below.
! S t u d y Time[ Final Exam j
j (in hours) \ (in percent)j
\
9
i
i
H
;
!
13
15
!
j
74
|
79
..,„
...„,
!
„
t
81
86
4/5/11 10:02 AM
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!
16
:
17
1
87
j
81
;
21
i
94
92
23
|
The data listed in the table is plotted below along with the line of best fit.
Study Time vesus Grades
SMOO 1 95 o
& 90_• 85° 80 (o 75 •
UJ 7 0 c 65 "
i i 60 C)
s
iI
-,.i-
V**
«*
£.
15
20
13
Study T ime (in nours)
25
What grade would a student expect to make if they studied 10 hours for the
exam?
O A. 77%
O B. 74%
O C. 79%
O D. 80%
10. Luanne made the scatter plot below to record the cost of pizzas based on their
number of toppings. The pizzas were not all from the same pizzeria.
4/5/11 10:02 AM
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.
12
11
10
9
8
X .
•w- 7 _•*""*
6
o 5
U 4
3
2
1
Cost of P izzas
.,'i
._^ _._-^*
_-^
_.***
i
> • - '
x ^' .
•
•
-b
0
1 2 3 4 5 6
7 8 9
10 1112* x
Number of Toppings
Based on the trend shown by the line of best fit, what price would a four-topping
pizza be expected to have?
O A. $8.00
O B. $8.50
O C. $9.00
O D. $7.40
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