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Cumulative Review 12
By Jeanmarie Mullen
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Last updated over 4 years ago
24 questions
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Question 1
1.
What function is represented
by the following graph?
[Space is provided for optional work.]
y = x + 3
y = x - 3
y = 2x
y = 2x + 1
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Question 2
2.
Which is an equation for the nth term
of the following sequence.
12, 23, 34, 45, ...
[Space is provided for optional work.]
a
n
= 11n
a
n
= 11n + 1
a
n
= 10 + n
a
n
= 12n - 1
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Question 3
3.
Which of the following is
equivalent to 2x
2
+ 7x + 3 ?
[Space is provided for optional work.]
(2x + 1)(x + 3)
(2x + 3)(x - 1)
(2x + 3)(x + 1)
(2x - 1)(x - 3)
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Question 4
4.
What is the equation of the line
passing through the point (-3, 1)
with slope of 2?
[Space is provided for optional work.]
y = 3x - 2
y = 3x + 2
y = 2x - 7
y = 2x + 7
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Question 5
5.
Solve the following
system of equations:
3x + y = 6
x + 3y = 10
[Space is provided for optional work.]
( 1 , 3 )
( 3 , 1 )
( 2 , 4 )
( 3 , 0 )
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Question 6
6.
The table to the right shows the
average diameter of a pupil in a
person's eye as he or she grows older.
What is the average rate of change,
in millimeters per year, of a pupil's
diameter from age 20 to age 80?
[Space is provided for optional work.]
2.4
-0.04
-2.4
0.04
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Question 7
7.
Mrs. Mendez asked students to create equations of their own. Here were two equations created by students.
Vanessa's Equation:
Luke's Equation:
What is true about Vanessa's
& Luke's equations?
[Space is provided for optional work.]
x = 3 and y = 3
x = 6 and y = 1
x = 5 and y = 5
x = 6 and y = 5
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Question 8
8.
Which of the following
statements is true?
[Space is provided for optional work.]
A line through (-5, 4) and the origin has a positive slope.
A line through (-2, -3) and (-1, -2) has a negative slope.
All lines through the origin have an undefined slope.
The slope of a horizontal line is zero.
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Question 9
9.
If  6a + (2b + 3c) = 10 ,
then (6a + 2b) + 3c = 10Â ,
where a, b, and c
are real numbers, which
of the following properties
is illustrated by this statement?
[Space is provided for optional work.]
inverse
associative
commutative
distributive
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Question 10
10.
To which subset of real numbers
does the following set belong?
[Space is provided for optional work.]
integers
irrational numbers
natural numbers
rational numbers
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Question 11
11.
Which of the following
is a function?
[Space is provided for optional work.]
{ (6, -5), (6, 2), (2, -1) }
{ (-1, 6), (3, 6), (-5, 6) }
{ (3, 8), (3, -1), (2, 3) }
{ (-4, -5), (2, 0), (-4, 4) }
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Question 12
12.
The third term in an arithmetic
sequence is 10 and the fifth term is 26.
 If the first term is a
1
,
which is an equation for the
nth term of this sequence?
[Space is provided for optional work.]
a
n
= 16n - 38
a
n
= 8n + 10
a
n
= 8n - 14
a
n
= 16n + 10
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Question 13
13.
What are the coordinates
of the x-intercepts of the graph
of y = 2x
2
+ 6x - 20 Â ?
[Space is provided for optional work.]
(-5, 0) and (2, 0)
(5, 0) and (-2, 0)
(-4, 0) and (10, 0)
(4, 0) and (-10, 0)
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Question 14
14.
What is the simplified form
of  (3x + 2)(4x - 3) ?
[Space is provided for optional work.]
12x
2
- x - 6
12x
2
+ 18x + 6
12x
2
+ x + 6
12x
2
+ 18x - 6
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Question 15
15.
What is the difference when
2x
3
+ 4x
2
- 5 Â is subtracted
from  6x
3
- 2x
2
+ 4 Â ?
[Space is provided for optional work.]
4x
3
- 2x
2
+ 1
4x
3
- 2x
2
- 1
8x
3
+ 6x
2
- 1
4x
3
- 6x
2
+ 9
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Question 16
16.
What is the next term
of the sequence:
-0.3, 0.6, -1.2, 2.4, ...
[Space is provided for optional work.]
-1.2
-0.3
2
-4.8
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Question 17
17.
When graphed, which function
will NOT have an x-intercept?
[Space is provided for optional work.]
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Question 18
18.
Which equation is equivalent to
y - 6 = -12(x + 4)Â ?
[Space is provided for optional work.]
y = 6x - 48
y = -12x - 54
y = -6x - 48
y = -12x - 42
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Question 19
19.
Which equation models
the data shown in the table?
[Space is provided for optional work.]
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Question 20
20.
Kristen invests $5,000 in a
bank that pays 1.5% interest
compounded monthly (once every month).
Determine the value of her investment
after 12 months.
[Space is provided for optional work.]
$5,978.09
$5,075
$4,170.66
$26,751.25
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Question 21
21.
Which graph represents the equation
[Space is provided for optional work.]
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Question 22
22.
The accompanying graph models
the height of a remote-control helicopter
over 20 seconds during flight.
Over which interval does the
helicopter have the slowest
average rate of change?
[Space is provided for optional work.]
5 to 10 seconds
0 to 5 seconds
10 to 15 seconds
15 to 20 seconds
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Question 23
23.
Which of the following
equations has no solution?
[Space is provided for optional work.]
-6g + 11 = 7g + 11
26g - 173 = 173
10g - 18 = 3(3g - 6) + g
-8g + 27 - 3 = -24 - 6g - 2g
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Question 24
24.
When studying for her Physics quiz,
Autumn has written down the
formula below. This formula states
that Power is equal to Work divided
by Time. If Autumn solves the equation
for T in terms of P and W, what equation
will she get?
Autumn's Equation:
[Space is provided for optional work.]
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