STAAR
®
State of Texas
Assessments of
Academic Readiness
Algebra I
Administered May 2013
RELEASED
Copyright © 2013, Texas Education Agency. All rights reserved. Reproduction of all or portions of this work is prohibited without express
written permission from the Texas Education Agency.
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DIRECTIONS
Read each question carefully. For a multiple-choice question, determine the best
answer to the question from the four answer choices provided. For a griddable question,
determine the best answer to the question. Then fill in the answer on your answer
document.
1
A dentist made the scatterplot below to show the number of cavities her patients had as it
relates to the number of times they flossed their teeth each week.
Number of Cavities
y
Cavities and Flossing
What is the overall direction of
ALL the dots if you look at the
big picture?
7
6
5
4
3
2
1
0
1
2
3
4
5
6
7
8
x
Number of Times the Patient
Flossed Each Week
Which of the following best describes the correlation for the data?
2
A
Positive correlation
C
Negative correlation
B
Nonlinear correlation
D No correlation
What is the vertex of the graph of the quadratic function f(x) = x2 + 6x + 10?
F
(3, −1)
Anytime you see an equation, use your ________ and put it
in ______ and GRAPH it.
G (−3, −1)
.
What does vertex mean?
H (−3, 1)
.
Use the TRACE function to get close to that point.
J (3, 1)
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3
Which of the following graphs best represents a system of equations that has no solution?
y
A
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
What does a solution look like?
.
What kind of lines never do that?
.
What kind of lines have infinite solutions?
1 2 3 4 5 6 7 8 9
x
C
y
B
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
1 2 3 4 5 6 7 8 9
x
1 2 3 4 5 6 7 8 9
x
y
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
y
1 2 3 4 5 6 7 8 9
x
D
9
8
7
6
5
4
3
2
1
–9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–3
–4
–5
–6
–7
–8
–9
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4
5
A family will travel 350 miles from their house in order to reach Dallas, TX. Which inequality
can be used to find all possible values of t, the time it will take this family to reach Dallas in
hours, if they travel at an average speed of at least r miles per hour?
F
t ≤ 350r
G
t >
H
t ≤
J
t > 350r 2
r
350
distance = rate * time
Plug in the numbers they give you:
350 means __________ put it in the equation: 350 = r * t
rearrange to get 't' on the left
350
r
The graph below shows the relationship between the number of dollars a worker earns and
the number of hours worked.
Amount Earned ($)
y
Worker’s Earnings
320
280
240
200
160
120
80
40
0
4 8 12 16 20 24 28 32 36 40
x
Time Worked (h)
Slope = rise / run
Substitute the axis labels for rise and run
What does the slope of the graph represent?
to get your meaning
Y-axis means _________
A The number of hours of work it takes to earn $320
,
B The amount of money earned per hour
X-axis means __________
.
C The amount earned for 40 hours of work
Slope = ________ / __________
D The number of hours worked per dollar earned.
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6
The perimeter of a rectangle is 42 centimeters. The length of the rectangle can be
represented by (x + 4), and its width can be represented by (2x − 7). What are the
dimensions of this rectangle in centimeters?
F
Length = 10 and width = 11
Use this space, draw your shape and label it!
G Length = 8 and width = 13
H Length = 6 and width = 15
J
(x + 4)
Length = 12 and width = 9
(2x - 7)
Perimeter means add up all the sides (or use the formula P = 2L + 2W)
.
2x - 7 + x + 4 + 2x - 7 + x + 4 = Perimeter (don't forget you have 2 sides that aren't labled!)
.
Rearrange and put all your x's together and all your constants together (commutative
property): 2x + 2x + x + x - 7 - 7 + 4 + 4 = P
.
Combine your like terms, x's with x's and constants with constants:
6x - 6 = P but we know that P = 42 so the equation becomes 6x - 6 = 42
.
Solve for x: 6x = 48 (added 6 to both sides)
x = 8 (divided both sides by 6)
.
Plug 8 back into the picture labels to calculate length and width:
L = (8 + 4) =
W = (2*8 - 7) =
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7
A graph is shown below.
y
9
8
7
6
5
4
3
2
1
−9 −8 −7 −6 −5 −4 −3 −2 −1
−1
1
2
3
4
5
6
7
8
9
Narrow down your choices:
.
Is the slope positive or
negative?
.
What is the y-intercept or 'b'
value?
.
Count
the slope between
x
(0, -2) and (3, 0) =
−2
−3
−4
−5
−6
−7
−8
−9
Which of the following equations are represented by the graph?
I. y = −
3
x − 2 Negative slope = NO MATCH
2
II. 2x − 3y = 6 Rearrange: y = 2/3x - 2 positive
III. y = (x − 2)(x − 3) Graph
IV. y − 2 =
A
II and IV
B
I and III
C
II and III
2
3
(x − 6)
slope and b=-2 = match!
it! it's a parabola, not a line = no match
Move that -2 to the right and graph it: positive slope 2/3 b=-2 MATCH!
D I and IV
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8
Which table shows the same relationship as y = −x2 + 3x?
F
G
H
J
9
x
−2
−1
0
1
2
y
−2
−2
0
4
10
x
−2
−1
0
1
2
y
−2
−1
0
1
2
x
−2
−1
0
1
2
y
−10
−4
0
2
2
x
−2
−1
0
1
2
y
−10
−4
0
4
10
I see an equation! I should put it in my
_________ so I can get a quick table
to compare with!
In which step below does a mistake first appear in simplifying the expression
0.5(−12c + 6) − 3(c + 4) + 10(c − 5)?
Distribute .5: .5*-12 = -6 and .5 *Step
c = -3
1: −6c + 3 − 3(c + 4) + 10(c − 5) No mistake
2: −6c + 3 − 3c − 12 + 10(c − 5) No mistake
Distribute -3: -3*c = -3c and -3*4Step
= -12
Step=3:
Distribute 10: .10*c = 10c and 10*4
40−6c + 3 − 3c − 12 + 10c − 50 No mistake
Step 4: 7c − 41
A
Step 1
B
Step 2
C
Step 3
Step 1 is good
Step 2 is good
Step 3 is good, it must be step 4!
They missed the -6c when they combined like terms.
D Step 4
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10 The value of y varies directly with x. Which function represents the relationship between
x and y if y =
F
y = 200x
G
y =
H
y =
J
y =
2
9
3
2
3
when x = 30?
Seems like there's some tool that has a place where I can put each
of these equations and use some kind of table to check to see what
y= when x = 30!
x
110
9
20
x
x
11 A table of values for the exponential function f is shown below.
x
f(x)
1
140,000
2
143,850
3
147,806
4
151,871
5
156,047
Test each answer choice to see if
it's true.
.
Eliminate easy stuff first. Is f(x)
increasing(getting bigger) or
decreasing (getting smaller)?
Which situation could describe this function?
3
A
The value of a house increases by approximately 2
B
The value of a house increases by $3,850 per year.
C
The value of a house decreases by approximately 2
4
% per year.
3
4
% per year.
D The value of a house decreases by $3,850 per year.
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12 There are 9 books stacked on a shelf. The thickness of each book is either 1 inch or 2 inches.
The height of the stack of 9 books is 14 inches. Which system of equations can be used to
determine x, the number of 1-inch-thick books in the stack, and y, the number of
2-inch-thick books?
F
x + y = 14
2x + y = 9
G
x + y = 14
x + 2y = 9
H
x +y = 9
x + 2y = 14
J
x +y = 9
2x + y = 14
What equation would give you at total of both kinds of books, x + y
should give you _______ eliminate the two wrong equations
.
Look at the difference in the two remaining choices, H and J
Eqn 2 in H says that the x book is 1 inch and the y book is 2 inches.
Is that what the problem gives you?
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13 Which graph shows a function with a domain of all real numbers greater than 7?
Domain represents the SET of ALL allowable _____ values.
y
Which graph contains
ALL of the x's that are bigger than 7?
10
10
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
A
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1 2 3 4 5 6 7 8 9 10
x
C
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–2
–3
–3
–4
–4
–5
–5
–6
–6
–7
–7
–9
–9
–10
–10
y
x
1 2 3 4 5 6 7 8 9 10
x
y
10
10
9
9
8
8
7
7
6
6
5
5
4
4
3
3
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1 2 3 4 5 6 7 8 9 10
–8
–8
B
y
1 2 3 4 5 6 7 8 9 10
x
D
2
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
–2
–2
–3
–3
–4
–4
–5
–5
–6
–6
–7
–7
–8
–8
–9
–9
–10
–10
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14 Students at a school will sell hats to raise money. There are some hats left over from last
year, and 20 boxes of hats will be ordered this year. When the order arrives, the total number
of hats the students will have can be determined using the function f(x) = 48x + 37, where
x represents the number of boxes ordered. If the number of hats per box changes so that
the situation is modeled by the function h(x) = 24x + 37, then how many fewer hats will the
students have available to sell if they still order 20 boxes?
Record your answer and fill in the bubbles on your answer document.
2 different equations and it wants to know the difference in both scenarios if you plug 20
into them.
.
Evaluate f(20): 48(20) + 37
Evaluate h(20): 24(20) + 37
.
Find the difference between the two answers:
15 What is the solution set for the quadratic equation x 2 − 16 = 0?
A
{4}
B
{−4, 4}
C
{256}
Graph it. Find where it crosses the _____ - axis
.
What are the x values at those spots?
D {−256, 256}
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16 A painter charges $35 per hour for labor plus $40 for a ladder rental when he paints a house.
The customer provides the paint. The total charge to paint a customer’s house was $950.
How many hours did the painter spend painting this house?
F
12
2
3
h
G 28 h
H 23 h
J
Not here
What makes up the total charge?
Some kind of hourly fee + some kind of fixed fee like y = mx + b?
.
Set up the equation:
950 = ______ h + ________ and solve it for h
.
.
OPTION 2: multiply each answer choice by the 35 hourly fee and
add 40. Does it equal 950?
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17 The slope and y-intercept of the graph of f were changed to make the graph of g, as shown
below.
y
7
6
g
5
4
3
2
1
–7 –6 –5 –4 –3 –2 –1
–1
1
2
3
4
5
6
–2
–3
–4
–5
–6
7
Find the properties of f:
.
Slope of f:
.
Y-intercept of f:
.
Direction of f:
.x
g is same direction?
g is steeper/less steep?
g's y-intercept higher/lower?
f
–7
Which statement describes the changes that were made to the graph of f to make the graph
of g?
A
The slope was multiplied by 2, and the y-intercept was decreased by 5 to make the
graph of g.
B
1
The slope was multiplied by − , and the y-intercept was increased by 5 to make the
2
graph of g.
C
The slope was multiplied by −2, and the y-intercept was decreased by 5 to make the
graph of g.
1
D The slope was multiplied by , and the y-intercept was increased by 5 to make the
2
graph of g.
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18 The population of a town is currently 9,000. The function p = 9,000 + 8t 2 can be used
to estimate p, the population of the town t years from now. Based on this function, which
statement is true?
Graph me in the calculator!
F
The population of the town is increasing at a constant rate.
G The population of the town will reach 10,000 between 11 and 12 years from now.check
H The population of the town will increase by 256 people two years from now.
J
the table!
check the table!
The population of the town will increase and then decrease.
19 The graph of y = 3x 2 − 2 is shown below.
graph this in y1
y
9
8
7
6
5
4
3
2
1
−9 −8 −7 −6 −5 −4 −3 −2 −1
−1
1
2
3
4
5
6
7
8
9
x
−2
−3
−4
−5
−6
−7
−8
−9
graph the change in y2: 5x^2 - 2
What changed? direction / width / y-intercept?
If the coefficient of x2 is changed from 3 to another positive number to create a new
function, how will the graph of the new function compare with the graph of the original
function?
A
The x-intercepts of the new graph will be the same as the x-intercepts of the original
graph.
B
The vertex of the new graph will be different from the vertex of the original graph.
C
The new graph will be wider or narrower than the original graph.
D The new graph will open in the opposite direction as the original graph.
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20 For the function w, w(9) = −7, and w(−7) = 9. If y = w(x), what is the value of y when
x = −7? where is the x value -7?
Record your answer and fill in the bubbles on your answer document.
21 The late fee for overdue books at a library is $0.25 per day per book, with a maximum late
fee of $5.00 per book. Which graph models the total late fee for 3 books that were checked
out on the same day and are overdue?
Fees for Overdue Books
5
4
3
C
2
1
0
1
2
3
4
5
6
7
8
9 10
Late Fee ($)
A
Late Fee ($)
y
.25/day/book, but we have 3 books:
.25*3 = .75/day
Fees
for.75?
Overdue Books
Which graph is going
up by
y
x
5
4
3
2
1
0
1
2
Fees for Overdue Books
y
5
4
3
D
2
1
0
1
2
3
4
5
6
7
8
Days Overdue
9 10
x
Late Fee ($)
Late Fee ($)
B
4
5
6
7
8
9 10
x
Days Overdue
Days Overdue
y
3
Fees for Overdue Books
5
4
3
2
1
0
1
2
3
4
5
6
7
8
9 10
x
Days Overdue
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22 Which inequality is equivalent to 7x − 2y > 8?
7
F
y >
G
y >−
2
7
H
y <
J
y <−
2
x +8
2
7
x +
8 All these answer choices look
7 kind of like y = mx + b ...
maybe I should rearrange my -2y > -7x + 8 (moved 7x from left to right)
inequality.
.
y < (7/2)x - 4 (divided everything by -2,
rembering to flip > to <)
x−4
2
7
x−
4
7
23 The sophomore class needs a combined total of 216 medium and large T-shirts for field day.
The number of medium T-shirts needed is three times the number of large T-shirts needed.
Based on this information, would it be reasonable for the sophomore class to order 72 large
T-shirts and 144 medium T-shirts?
A
No, because the number of medium T-shirts is not 3 times the number of large
T-shirts
B
No, because the number of large T-shirts is not 3 times the number of medium
T-shirts
C
Yes, because the total number of T-shirts is 216
D Yes, because the number of large T-shirts is
1
3
of the total number of T-shirts
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24 An airplane’s altitude in feet during its descent for landing can be found using the function
f(x) = −300x + 30,000, where x represents the horizontal distance in miles from where
the plane begins its descent. After new government regulations become law, the airplane’s
descent will be modeled by the function g(x) = −300x + 30,500. Which statement describes
this change?
What is different about the
F The airplane starts its descent from an altitude 500 feet higher. 2 equations?
original slope from f(x):
G The airplane starts its descent from an altitude 500 feet lower.
new slope from g(x):
any change?
H The airplane descends 500 feet per horizontal mile faster.
Original starting point from
J The airplane descends 500 feet per horizontal mile slower.
f(x):
new starting point from
g(x):
any change?
25 The graph of the quadratic function h passes through the points (−4, 32), (3, 4), (5, 14), and
(7, 32). Which of the following shows the same relationship as h?
plot the given points:
y
are all 4 points here?
10
9
h
8
7
6
5
4
3
2
A
1
–10 –9 –8 –7 –6 –5 –4 –3 –2 –1
–1
1 2 3 4 5 6 7 8 9 10
x
C
–2
–3
–4
–5
x
h(x)
32
–4
4
3
14
5
32
7
–6
–7
–8
–9
–10
are all 4 points here?
x
graph me and check the
table. Do all 4 points match?
B
2
h(x) = x + 3x + 4
7
D
5
3
–4
h(x)
4
14
32
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26 What is the value of x in the solution to the system of equations below?
6x + 3y = 13
3x − y = 4
F
G
H
J
1
5
3
8
3
7
3
Already lined up and ready to go into the matrix!!!
.2nd--> "Matrix" --> EDIT --> 2 x 3
[6 3 13]
[3 -1 4]
2nd-->"QUIT"
.
2nd-->"Matrix"-->MATH-->RREF(
2nd-->"Matrix"-->NAMES-->select A
RREF([a]) and enter
[1 0 1.667]
[0 1
1]
.
x=
y=
27 What is the zero of the linear function graphed below?
y
8
7
6
5
(0, 5)
4
3
2
1
−8 −7 −6 −5 −4 −3 −2 −1
−1
1
2
3
4
5
6
7
8
x
−2
−3
−4
−5
(2, –5)
−6
−7
−8
Record your answer and fill in the bubbles on your answer document.
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28 The function y = x2 + x − 6 is graphed below.
y
9
8
7
6
5
4
3
2
1
−9 −8 −7 −6 −5 −4 −3 −2 −1
−1
1
2
3
4
5
6
7
8
9
x
−2
−3
−4
−5
−6
−7
−8
−9
What are the values of x when x2 + x − 6 = −4?
F
x = −4 and x = 6
G
x = −2 and x = 1
H
x = −3 and x = 2
J
x = −5 and x = −6
Draw a horizontal line across -4
and see where it crosses!
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29 A store manager begins each shift with the same total amount of money. She keeps $200
in a safe and distributes the rest equally to the 5 cashiers in the store. This situation can
be represented by the function y =
(x − 200)
5
. What does the variable x represent in this
situation?
A
The total amount of money the manager has at the beginning of a shift
B
The total amount of money the manager has at the end of a shift
C
The amount of money each cashier has at the beginning of a shift
D The amount of money each cashier has at the end of a shift
30 What is the equation in standard form of the line that passes through the point (1, 24) and
has a slope of −0.6?
F
3x + 5y = 125
G
3x + 5y = 77
H
3x + 5y = 123
J
3x + 5y = 115
Plug (1, 24) into each equation and test: 1 = x and 24 = y
F: 3(1) + 5(24) = 123 not 125
G: = 123 not 77
H: = 123!!!
J: = 123 not 115
.
Slope becomes irrelevant since H is the only one that goes
through the correct point.
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31 Which coordinate pair is in the solution set for y < 1 − 6x?
Graph the line 1 - 6x on the given coordinate plane:
starts at
y y = 1 and moves down 6 and right 1
10
9
8
7
6
5
4
3
2
1
−10 −9 −8 −7 −6 −5 −4 −3 −2 −1
−1
−2
−3
−4
−5
−6
1
2
3
4
5
6
7
8
9 10
x
y < means shade the
smaller y values which are
found at the bottom
.
Plot each point
A is outside
B is outside
C is on the dashed line
D is clearly inside
−7
−8
−9
−10
A
(1, 0)
B
(1, −1)
C
(0, 1)
D
(−1, 1)
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32 Which graph does not represent y as a function of x?
y
Use the vertical line test:
If ANY vertical line can cross your
graph more than once, the test
fails and your graph is NOT a
function!
F
H
x
y
G
y
x
y
J
x
33 The graph of line p represents y =
1
5
x
x − 1. If the slope of line p is multiplied by −10 to
create line r, which statement about the graphs of the two lines is true?
A
Line r intersects line p.
B
Line r is parallel to line p.
C
Line r is 10 units above line p.
graph the given line (1/5)x -1 in y1
.
multiply the given slope by -10: -10*(1/5) = -2
.
graph the new line: y = -2x -1 in y2 and compare!
D Line r is 10 units below line p.
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34 A table of values for the quadratic function f is shown below.
x
f(x)
–8
–2.75
–7
0
–6
2.25
–5
4
–4
5.25
–3
6
–2
6.25
–1
6
0
5.25
1
4
Solutions are where my
y OR f(x) values are = to _____
.
Circle them in the table.
.
What are the x values there?
If 3 is one solution to f(x) = 0, what is the value of the other solution?
Record your answer and fill in the bubbles on your answer document.
35 A print shop charges a fixed amount per photocopy and gives a 10% discount off the total
cost of the photocopies. The total cost is a function of the number of photocopies made. What
is the independent quantity in this situation? Replace the words "is a function of" with
A
The total cost of the photocopies
B
The price per photocopy
C
The amount of the discount
"depends on"
.
DEPENDENT depends on INDEPENDENT!
.
It is asking for the INDEPENDENT which is?
D The total number of photocopies made
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36 The set of ordered pairs below represents some points on the graph of function f.
{(3, 11), (−1, 3), (5, 15), (−4, −3), (−7, −9)}
What is the parent function of f ?
F
y = x
G
y = 2x
H
y = x2
J
y =
Plot the points on a graph or by using
the STAT-->EDIT on your calculator.
.
Graph each answer choice in Y1.
.
F: linear parent
G: exponential curve
H: quadratic parent (parabola)
J: radical (root) parent
x
37 The average annual rainfall for a particular city is 33.2 inches. In the first 30 weeks of this
year, the city received a total of 9.7 inches of rain. If it is expected to rain between 1.5 and
2.1 inches per week through the end of the year, what is a reasonable number of additional
weeks needed for this city to reach its average annual rainfall?
A
23 weeks
B
13 weeks
C
9 weeks
D 16 weeks
Annual amount (33.2) minus rain so far (9.7) = 23.5 still needed.
If we get 1.5 per week, how many weeks will it take to get to
23.5?
.
If we get 2.1 per week, how many weeks will it take to get to
23.5?
.
Which answer choice falls between those 2 numbers?
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38 A teacher collected data on 20 students for two different quizzes. The scatterplot below shows
the relationship between the number of points scored on Quiz 1 and the number of points
scored on Quiz 2.
Points Scored on Quiz 2
y
Draw the line where
the
results from the 2 quizes
100
are the same. Use that for
comparison. 90
On this side of 50 Quiz 2
was worse than Quiz 1
because all the points
are on the bottom of the
comparison line
Quiz Scores
80
On this side of 50 Quiz 2
was better than Quiz 1
because all the points
are on the top of the
comparison line
70
60
50
40
30
20
10
0
10 20 30 40 50 60 70 80 90 100
x
Points Scored on Quiz 1
Which statement describes the data?
F
The number of points scored on Quiz 2 was less than the number of points scored on
Quiz 1 for any student who scored at least 50 points on Quiz 1.
G The number of points scored on Quiz 2 was greater than the number of points scored
on Quiz 1 for any student who scored 50 or fewer points on Quiz 1.
H The number of points scored on Quiz 2 was greater than the number of points scored
on Quiz 1 for any student who scored at least 50 points on Quiz 1.
J
The number of points scored on Quiz 2 was less than the number of points scored on
Quiz 1 for any student who scored 50 or fewer points on Quiz 1.
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39 The number of ferryboat trips, f (c), needed to transport c cars in 1 day can be found using
the function f(c) =
c
20
. If there are no more than 5,000 cars transported by ferryboat daily,
what is the range of the function for this situation?
Domain = input = number of cars: I can have between 0 and 5000 cars
.
Range = output = f(c) = number of ferryboat trips to haul those cars:
SMALLEST: 0 cars will take me 0/20 or 0 trips
BIGGEST: 5000 cars will take me 5000/20 or 250 trips
.
This question wants to know the RANGE!
A
The set of all integers greater than or equal to 5,000
B
The set of all integers from 0 to 5,000
C
The set of all integers greater than or equal to 250
D The set of all integers from 0 to 250
40 A high school band held a bake sale. The number of cupcakes sold was four more than twice
the number of cookies sold. The band sold a total of 52 cupcakes and cookies. How many
cupcakes were sold?
F
28
G 16
H 36
J
24
Translate each sentence into numbers, pick a letter for cupcakes and a letter
for cookies: y = cupcakes and x = cookies
.
1st Sentence: y = 2x + 4
2nd Sentence: x + y = 52
.
Rearrange the 2nd so y is on the left by itself: y = -x + 52
.
Graph them in y1 and y2. Calculate the intersection of the two lines!
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41 Two points on the graph of a quadratic function are shown on the grid below.
y
8
7
6
5
4
3
2
1
−8 −7 −6 −5 −4 −3 −2 −1
−1
−2
−3
−4
1
2
3
4
5
6
7
8
x
The axis of symmetry is
ALWAYS half way
between points that are on
the same horizontal line.
.
Halfway between -6 and 0
is -3.
.
Are all the x's equal to -3 or
are all the y's equal to -3?
−5
−6
−7
−8
What is the equation for the axis of symmetry of the graph of this function?
A
x = −3
B
y = −3
C
x = −5
D
y = −5
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42 The dishwasher at a restaurant is loaded with the same number of dishes every time it is
used. The table below shows the total number of dishes washed as a function of the number
of times the dishwasher is used.
Restaurant Dishwasher
Number of
Times Used
Total Number of
Dishes Washed
2
52
4
104
6
156
8
208
Since it tells us that the
number is the same every
time, we have to figure out
how much that is. If it is 52
dishes in 2 uses, how much
for 1 use?
.
add that number to 208.
Based on the data in the table, what is the total number of dishes that will have been washed
when the dishwasher is used 9 times?
Record your answer and fill in the bubbles on your answer document.
43 The first six numbers in a pattern are shown below.
1
3
,
4
3
, 3,
16
3
,
25
3
, 12, . . .
If the pattern continues, which expression can be used to find the nth number in the pattern?
A
B
C
D
2n
3
n2
3
'n' represents the position of the number in the series: 1st, 2nd, 3rd ...
Check for each option: A: 2(1)/3 = 2/3 not 1/3, throw it out
Option B: 1^2/3 = 1/3(works for 1st) 2^2/3 = 4/3(works for 2nd)
3^2/3 = 9/3=3(works for 3rd)...
Option C: 1^2/6 = 1/6 not 1/3, throw it out
Option D: 2(1)/6 = 2/6 = 1/3 (works for 1st) 2(2)/6 = 4/6 = 2/3 not 4/3 throw out
n2
6
2n
6
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44 The graph below shows the water level in a tank being drained at a constant rate.
y
Tank Water Level
Initial stays the same!
Draw a new line that
starts at the same place
(0, 12) but goes down 3
inches per hour instead
of 2.
How does the time to
empty compare?
16
Height (in.)
14
12
10
(1, 10)
8
6
(4, 4)
4
2
0
Another word for
SLOPE!
1
2
3
4
5
6
7
x
Time (h)
If the rate at which the tank is drained is changed to 3 inches per hour and the initial water
level stays the same, how would the time it takes to empty the tank be affected?
F
It would take 4 fewer hours.
G It would take 1.5 more hours.
H It would take 2 fewer hours.
J
It would take 2 more hours.
45 An architect is designing an office building with n floors that will have an FM radio antenna
15.85 m tall on its roof. Each floor of the building will be 3.9 m high. Which function can be
used to find the total height of the building in meters, including the FM antenna?
A
h(n) = 15.85n + 3.9
B
h(n) = 3.9n + 15.85
C
h(n) = 3.9n − 15.85
D
h(n) = 19.75n
Another word for
SLOPE!
Build your equation in the form of
y = mx + b where m is _______ and
b is your starting ________.
.
h(n) is the same thing as y - it
means your height.
n is the same thing as x and it
means the number of floors.
.
Is it the 15.85 meter antenna that
gets multiplied by 'n' or is it the 3.9
meter floor height?
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46 What are the x-intercepts of the graph of the quadratic function f(x) = 5x2 + 4x − 1?
F
1
5
Where does your picture
cross the x-axis?
and −1
1
G
−
H
0 and −1
J
−
5
2
5
GRAPH ME!!!
and 1
and 1
2
5
47 A weightlifter is adding plates of equal weight to a bar. The table below shows the total
weight, including the bar, that he will lift depending on the total number of plates on the bar.
Number of
Plates
Total Weight
(lb)
2
115
4
185
6
255
8
325
Use the table to figure out how much
each
plate weighs:
Based on this information, which statement is true?
As we move from 2 plates to 4 plates,
how much weight did you add?
A The bar weighs 35 lb without any plates.
185 - 115 = ________
B The bar weighs 70 lb without any plates.
Divide that increase by 2:
Each plate weighs _________ lbs
C The bar weighs 45 lb without any plates.
Now go backwards up the table to get
D The bar weighs 25 lb without any plates.
your weight with 0 plates (the bar
weight)
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48 What is the range of the function shown below?
Range is x or y?
x
f(x)
–7
–9
–2
–4
0
–1
5
F
{−7, −2, 0, 5}
G
{−9, −4, −1}
H
{−9, −7, −4, −2, −1, 0, 5}
J
{−1}
Which of these is
range or output?
Eliminate the answers that make no
sense: this is x and y values together!
This is neither domain nor range!
49 Which set of ordered pairs contains only points that are on the graph of the function
y = 12 − 3x?
A
{(−3, −27), (0, 0), (6, 54)}
B
{(−18, 10), (−6, 6), (18, −2)}
C
{(−5, 27), (−1, 15), (8, −12)}
D
{(−7, −9), (−4, 0), (2, 18)}
GRAPH ME! and look at the _________
of values!
Eliminate any answers that have
coordinate pairs that are NOT on the
calculator table.
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50 Which inequality can be represented by the graph below?
y
Which symbol means to
shade the top where y
values are bigger?
(0, b)
x
F
y ≥ x +b
G
x − y ≥ −b
H
x +y ≤ b
J
−y ≤ x + b
Rearrange them
all into y = mx + b
(slope-intercept)
form so you can
compare them!
51 Which expression is equivalent to
A
B
C
D
Will this give you a
y = mx + b OR
y = mx - b?
9x 8z 5
y −10
12x 6y −4z 2
3x 2y −6z 3
?
Divide numbers, subtract exponents
12 / 3 = ______ that eliminates 2 of
your answer choices!
x^6/x^2 = x^(6-2) = x^4 that
eliminates the other one. You don't
even need to move on to the y or the
z
4x 8z 5
y −10
9x 4y 2
z
4x 4y 2
z
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52 If y = −
F
−
G
−
H
J
35
4
55
4
35
4
5
Plug me in to y:
x − 2, what is the value of x when y = −9?
-9 = -(4/5)x - 2
.
-9 + 2 = -(4/5)x (add the 2 to both sides)
-7 = -(4/5)x
.
-7/(-4/5) = x
(divide both sides by -4/5 to get x alone)
.
Use the calculator: x = __________
4
55
4
53 Which expression is equivalent to −6x2 − 11x − 4?
A
(3x + 7)(3x − 3)
B
(−3x + 4)(2x − 1)
C
(3x − 7)(3x + 3)
D
(−3x − 4)(2x + 1)
FOIL Method Last
. First
B: (-3x + 4)(2x - 1)
Inner
Outside
Use F.O.I.L. or Box methods to multiply each answer
choice back together to see if it matches the given
expression:
A: (3x + 7)(3x - 3)
Box Method
F: -3x * 2x = -6x^2
O: -3x * -1 = 3x
3x
I: 4 * 2x = 8x
+
8x
L: 4 * -1 = -4
11x
COMBINE like
terms and rewrite:
-6x^2 + 11x - 4
Doesn't match!
3x
3x 9x^2
.
.
-9x
-3
+7
21x
-21
9x^2 + 12x - 21 doesn't
match!
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54 If the graph of y = 9x + 4 is translated 4 units up, which equation describes the new graph?
F
y = 9x + 8
G
y = 13x + 4
H
y = 13x + 8
J
y = 4x + 4
Page 41
moving up and down will NOT change the slope so 9x will
stay the same. That eliminates all but one choice.
.
Moving up will increase the starting point ('b') or 4: 4+4 = 8
which confirms the answer choice:
BE SURE YOU HAVE RECORDED ALL OF YOUR ANSWERS
ON THE ANSWER DOCUMENT.
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