5th Grade Mathematics Benchmark Practice

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Transcript 5th Grade Mathematics Benchmark Practice

ALGEBRA I BENCHMARK
PRACTICE
1
WEEK STARTING
Week Starting
Benchmark
Slide
Numbers
February 7th
MA.912.A.3.8
3-11
February 14th
MA.912.A.3.9
12-17
February 21st
MA.912.A.3.10
18-22
February 28th
MA.912.A.3.11
23-29
March 14th
MA.912.A.3.14
30-35
March 21st
ePAT practice
36
March 28th
Standards A2, A3, and D71
37-59
April 4th
MA.912.A.4.2
60-
April 11th
MA.912.A.4.3
April 18th
MA.912.A.6.2
April 25th
MA.912.A.7.1
May 2nd
MA.912.A.7.2
May 9th
Standards A4, A5, A6, and A71
2
WEEK OF FEBRUARY 7TH,2011
#1
MA.912.A.3.8
When placed into a glass of ice water, a Fahrenheit thermometer
reads 32 degrees, while a Celsius thermometer reads 0 degrees.
When placed in a pot of boiling water, the Fahrenheit thermometer
reads 212 degrees, and the Celsius thermometer reads 100 degrees.
Which graph could Malinda use to determine the temperature in
degrees Fahrenheit when she knows the temperature in degrees
Celsius?
3
WEEK OF FEBRUARY 7TH,2011
#1
MA.912.A.3.8
4
WEEK OF FEBRUARY 7TH,2011
#2
MA.912.A.3.8
Two years after being put into service, the value of a Duplicator Color Copier
is $4,400. After 5 years, the copier has a value of $2,700.
Assuming that the change in value over time can be modeled with a linear
function, which graph could be used to find the value of the copier after eight
years?
5
WEEK OF FEBRUARY 7TH,2011
#3
MA.912.A.3.8
Ten doughnuts were already made when Carlos starts making
doughnuts, and Carlos can make 5 doughnuts per minute. The table
shows the number of doughnuts made over 8 minutes. Which graph
correctly displays the data in the table?
6
WEEK OF FEBRUARY 7TH,2011
#3
MA.912.A.3.8
7
WEEK OF FEBRUARY 7TH,2011
#4
MA.912.A.3.8
Farmer's Restaurant has served 25 breakfasts by 7:00 am. On average, the
restaurant serves 15 breakfasts per hour between 7:00 am and 12:00 noon.
Which graph correctly represents the number of breakfasts served at
Farmer's Restaurant?
8
WEEK OF FEBRUARY 7TH,2011
#5
MA.912.A.3.8
Monte plans to put the $20 his grandmother gave him for his birthday into a
savings account and then save $15 a week for eight weeks from money he
earns caring for dogs. The amount in his savings account can be modeled by
the function
f(w) = 20 + 15w
where f(w) is the amount in his savings and w is the number of weeks he
puts money into his account.
Which graph correctly shows the amount of money in Monte's savings
account over the eight weeks?
9
WEEK OF FEBRUARY 7TH,2011
#5
MA.912.A.3.8
10
WEEK OF FEBRUARY 7TH,2011
MA.912.A.3.8

Items from the second assessment from
FOCUS on http://www.florida-achieves.com/
11
WEEK OF FEBRUARY 14TH,2011
#1
MA.912.A.3.9
Carla is one year older than James. The relationship between their ages can
be represented by the equation
C=J+1
If Carla's age is graphed as a function of James's age, what will be the
coordinates of the x- and y-intercepts for the graph of this function?
A.
x-intercept: (0, 1)
y-intercept: (-1, 0)
B.
x-intercept: (James)
y-intercept: (Carla)
C.
x-intercept: (1, 0)
y-intercept: (1, 0)
D. x-intercept: (-1, 0)
y-intercept: (0, 1)
12
WEEK OF FEBRUARY 14TH,2011
#2
MA.912.A.3.9
On a coordinate graph, Celeste places a red marble at the point (2, 2) and a
green marble at the point (4, 1). If she draws a line that passes through both
of these points, which set of coordinates represents the x- and y-intercepts of
the line?
A.
x-intercept: (0, 6)
y-intercept: (3, 0)
B.
x-intercept: (6, 0
y-intercept: (0, 3)
C.
x-intercept: (0, 3)
y-intercept: (6, 0)
D. x-intercept: (3, 0)
y-intercept: (0, 6)
13
WEEK OF FEBRUARY 14TH,2011
#3
MA.912.A.3.9
The graph below shows the rate at which a cross-country runner burns
calories. What is the slope of the line?
A.
2/30
B.
15
C.
7/14
D. 1
14
WEEK OF FEBRUARY 14TH,2011
#4
MA.912.A.3.9
The diagram below shows the dimensions of Lopez family's house. What is
the slope of the portion of the roof that is represented by the solid red line?
1 / 3
15
WEEK OF FEBRUARY 14TH,2011
#5
MA.912.A.3.9
The equation 3x − 2y = −16 can be used to determine the size of a
recommended refrigerator, where y represents the volume of the refrigerator
in cubic feet, and x represents the number of people (greater than 2) living in
the residence. When this equation is graphed on a coordinate plane, where
does the line intercept the y-axis?
8
16
WEEK OF FEBRUARY 14TH,2011
MA.912.A.3.9

Items from the second assessment from
FOCUS on http://www.florida-achieves.com/
17
WEEK OF FEBRUARY 21ST,2011
#1
MA.912.A.3.10
The line shown in the graph below can be represented by the equation
Which of the following is the equation for a line that is perpendicular to this
line, passing through the point (6, 4)?
A.
B.
C.
D.
18
WEEK OF FEBRUARY 21ST,2011
#2
MA.912.A.3.10
Rod is a professional archer who always hits the bull's eye or the ring next to
the bull's eye. The chart below shows the number of points, p, he will score
when shooting 20 arrows, based on the number of bull's eyes, b, that he hits.
Which equation represents the information shown on the graph?
A.
p = 160 + 5b
B.
p = 160 − 5b
C.
p = 160 + 2b
D. p = 160 − 2b
19
WEEK OF FEBRUARY 21ST,2011
#3
MA.912.A.3.10
Robert sharpened pencils for the school math contest. He sharpened 8
pencils in 2 minutes and 32 pencils in 8 minutes.
If he continues at the same rate, which equation can be used to predict the
number of pencils he can sharpen in 30 minutes? Let p represent the
number of pencils and t represent the number of minutes.
A.
p + t = 30
B.
4t = p
C.
8p = 3t
D. t/p= 4
20
WEEK OF FEBRUARY 21ST,2011
#4
MA.912.A.3.10
In an isometric drawing, parallel edges of a three-dimensional object are represented
as parallel lines when the object is drawn in two dimensions. In the isometric drawing
of the cube below, line is drawn to form one edge of the cube. The equation y = x + 3
can be used to represent line .
Line k is then drawn to form a parallel edge of the cube, passing through (5, 4).
Which of the following shows the equation for line k?
A.
y=x−1
B.
y = −x + 1
C.
y=x+5
D. y = −x − 5
21
WEEK OF FEBRUARY 21ST,2011
#5
MA.912.A.3.10
Line s passes through the points (2, 7) and (6, 1). Line t passes through the
point (5, 2) and is perpendicular to line s. What is the equation for line t?
A.
B.
C.
D.
22
WEEK OF FEBRUARY 21ST,2011
MA.912.A.3.10

Items from the second assessment from
FOCUS on http://www.florida-achieves.com/
23
WEEK OF FEBRUARY 28TH,2011
#1
MA.912.A.3.11
A bungee jumper tried many jumps off of a bridge with different lengths of
bungee cord. The distance he fell before the cord pulled tight is shown in the
graph below. When the points on the graph are connected to form a straight
line, what does the slope of this line represent?
A.
The slope is 1/5, which means that for
every 1 foot of cord, he will fall 5 feet
B.
The slope is 1/5, which means that for
every 5 feet of cord, he will fall 1 foot
C.
The slope is 5/1, or 5, which means that
for every 1 foot of cord, he will fall 5
feet.
D. The slope is 5/1, or 5, which means that
for every 5 feet of cord, he will fall 1
foot.
24
WEEK OF FEBRUARY 28TH,2011
#2
MA.912.A.3.11
The table below shows how old Marsha and Tony were in several different
years. If T represents Tony's age and M represents Marsha's age, which
equation could be used to correctly predict Tony's age when Marsha is 20
years old?
A.
T = 20 − M
B.
T=M+4
C.
T+M=4
D. T + 16 = 20M
25
WEEK OF FEBRUARY 28TH,2011
#3
MA.912.A.3.11
The table shows the number of hours Tim and Stephen have practiced their
piano lessons at the end of each week. Let T represent the number of hours
Tim practices and let S represent the number of hours Stephen practices.
If they both continue to practice at the same rate, which equation could be
used to correctly predict the number of hours Stephen will have practiced
his piano lessons when Tim has practiced for 11 hours?
A.
S = 29
B.
S = 3T + 2
C.
S = 2T + 9
D. S = 2T + 11
26
WEEK OF FEBRUARY 28TH,2011
#4
MA.912.A.3.11
The total cost of a taxi for certain distances is shown in the table below.
The relationship between the values in the table can be expressed as a
linear function. What is the slope of this function?
2
27
WEEK OF FEBRUARY 28TH,2011
#5
MA.912.A.3.11
The steps to a front porch have a riser of 7 inches and a tread of 11 inches.
The marked rise and tread distances are shown in the table below.
The relationship between the values in the table can be expressed as a
linear function. What is the slope of this function? Enter your answer in the
form of a fraction.
7 / 1 1
28
WEEK OF FEBRUARY 28TH,2011
MA.912.A.3.11

Items from the second assessment from
FOCUS on http://www.florida-achieves.com/
29
WEEK OF MARCH 14TH, 2011
#1
MA.912.A.3.14
John is training for a competition in which athletes will run and bike several
miles. If John can run a mile in 7 minutes and bike a mile in 4 minutes, he
will be able to finish the race in 90 minutes. If he can run a mile in 8
minutes and bike a mile in 3 minutes, he will be able to cover the same
distance in just 84 minutes.
In the equations below, r represents the number of miles run, and b
represents the number of miles biked.
7r + 4b = 90
8r + 3b = 84
How many miles will John run during the race?
A.
6 miles
B.
7 miles
C.
8 miles
D. 12 miles
30
WEEK OF MARCH 14TH, 2011
#2
MA.912.A.3.14
In the 1600s, a blacksmith could make a living by hand-forging horseshoes
and nails. A diligent blacksmith could make one horseshoe in 12 minutes
and a nail in 1 minute. In the 1600s, it would take the blacksmith 210
minutes to complete a particular job. With advances in technology, the
blacksmith was able to make a horseshoe in 9 minutes and a nail in 40
seconds, and could complete the same job in 155 minutes.
In the equations below, h represents the number of horseshoes in the job,
and n represents the number of nails in the job.
12h + n = 210
9h + 2n/3 = 155
How many nails were in the job the blacksmith completed?
A.
10
B.
15
C.
20
D. 30
31
WEEK OF MARCH 14TH, 2011
#3
MA.912.A.3.14
According to government standards, a 100-gram piece of ''extra lean'' meat
must contain 425 or fewer calories. A piece of extra lean meat contains 190
grams of protein and 10 grams of fat, for a total of 850 calories. A second
piece of meat is the same weight, but it is not extra lean.
This piece of meat contains 180 grams of protein and 20 grams of fat, but it
has a total of 900 calories. In the equations below, f represents the number
of calories in a gram of fat, and p represents the number of calories in a
gram of protein.
190p + 10f = 850
180p + 20f = 900
How many calories are in a gram of protein?
A.
4
B.
5
C.
8
D. 9
32
WEEK OF MARCH 14TH, 2011
#4
MA.912.A.3.14
A chemist prepares a solution by mixing 30 mL of liquid c with 50 mL of
liquid d, and the resulting solution has a mass of 290 grams. She then
combined 50 mL of liquid c with 40 mL of liquid d, and gets a solution that
has a mass of 310 grams. In the equations below, c represents the
concentration of liquid c, and d represents the concentration of liquid d.
30c + 50d = 290
50c + 40d = 310
What is the concentration of liquid c, in grams/mL?
A.
3
B.
4
C.
5
D. 6
33
WEEK OF MARCH 14TH, 2011
#5
MA.912.A.3.14
During a recent campaign, a candidate purchased two television
commercials and one radio commercial for $29,250 in September. In
October, she spent $62,250 on four television ads and three radio ads. In the
equations below, r represents the cost of one radio commercial and t
represents the cost of one television commercial.
2t + r = 29,250
4t + 3r = 62,250
What is the cost, in dollars, of one television commercial?
A.
$ 3,750
B.
$ 12,750
C.
$ 16,500
D. $ 22,550
34
WEEK OF MARCH 14TH, 2011
MA.912.A.3.14

Items from the second assessment from
FOCUS on http://www.florida-achieves.com/
35
WEEK OF MARCH 21ST, 2011
ePAT

Show practice Algebra EOC from ePAT:
http://www.pearsonaccess.com/cs/Satellite?c=Page&chi
ldpagename=Florida%2FflPALPLayout&cid=12054612
26846&pagename=flPALPWrapper/
36
WEEK OF MARCH 28TH, 2011
MA.912.A.2.3
As a diver swims deeper underwater, the water pressure in pounds per
square inch (PSI) increases on the diver. The table below shows the pressure
in PSI for several depths of water.
Which equation represents p, the
water pressure in square inches, as
a function of d, the depth in feet?
37
WEEK OF MARCH 28TH, 2011
MA.912.A.2.3
For one child, a childcare facility charges $300 per month for preschool and
$3.50 per hour for each hour of childcare after preschool. The function below
can be used to determine f (h), the monthly fee for childcare and preschool,
where h represents the number of hours spent in childcare after preschool.
If the one-month charges for one child totaled $637.75, what was the total
number of hours the child spent in childcare after preschool?
9 6 . 5
38
WEEK OF MARCH 28TH, 2011
MA.912.A.2.4
An economics teacher plotted the value of a stock on 11 different days
during a 500-day period and used line segments to connect them. In the
graph below, the horizontal axis is measured in days and the vertical axis is
measured in dollars.
Based on the graph, which of the
following best describes the range of the
value of the stock for this 500-day
period?
39
WEEK OF MARCH 28TH, 2011
MA.912.A.2.4
The set of ordered pairs shown below defines a relation.
{(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}
What is the value of the greatest element in the range of this relation?
9
40
WEEK OF MARCH 28TH, 2011
MA.912.A.3.1
Mario needs to cut three book shelves from a board that is 1.8 meters long.
The second shelf is 15 centimeters longer than twice the length of the first
shelf. The remaining shelf is 5 centimeters longer than the first shelf.
The equation below represents this situation, where x is the length of the
first shelf in meters.
Which of the following is the length, in meters, of the first shelf?
41
WEEK OF MARCH 28TH, 2011
MA.912.A.3.1
Bill is planning to drive from his house to a baseball stadium and arrive in
time for the beginning of the championship game. His arrival time depends
on the traffic. If traffic is light, he will travel at an average speed of 50 miles
per hour and arrive 1 hour early. If traffic is heavy, he will travel at an
average speed of 30 miles per hour and arrive on time. The equation below
can be used to model this situation, where t represents Bill’s driving time, in
hours.
50(t - 1) = 30t
What is the distance, in miles, from Bill’s house to the baseball stadium?
7 5
42
WEEK OF MARCH 28TH, 2011
MA.912.A.3.3
The Gross Domestic Product of a country for a given year is the sum of the
market values of all goods and services produced within the country during
that year. The Gross Domestic Product per capita is found by using the
following formula where:
S Gross Domestic Product per capita
C consumer spending
I investment
G government purchases
N net exports
P population
Which of the following shows the Gross Domestic Product per capita formula
solved for C ?
43
WEEK OF MARCH 28TH, 2011
MA.912.A.3.4
Taylor has a total of $25 to spend on dinner, which includes a 6.5% sales tax
and a 20% tip. Taylor used the inequality shown below to calculate the
amount in dollars, a, she can spend before tax and tip.
Which of the following shows the solution to this inequality?
44
WEEK OF MARCH 28TH, 2011
MA.912.A.3.5
Karen works as a salesperson for a local marketing company. Using the
equations shown below, the company calculates her monthly earnings based
upon her total sales for the month.
where:
E represents total monthly earnings before taxes and withholding
s represents the dollar amount of her total sales
Karen’s total sales were greater than $5,000 in October. If her total
monthly earnings for October were $3,000, what was the value of her total
monthly sales, s ?
8 6 0 0
45
WEEK OF MARCH 28TH, 2011
MA.912.A.3.8
Roger went to a garage sale where hardback books sold for $5 each and
paperback books sold for $2.50 each. He has $20 to spend. The equation
below can be used to find how many books of each type Roger can buy, where
x is the number of hardback books and y is the number of paperback books.
5x + 2.5y = 20
Which of the following shows the graph of this
46
WEEK OF MARCH 28TH, 2011
MA.912.A.3.9
An architect designed an outdoor staircase for a house. The relationship
between the height of the steps and the length of the tread is modeled by the
equation
57x - 95y = 0
Which of the following represents the slope of the equation?
47
WEEK OF MARCH 28TH, 2011
MA.912.A.3.9
An engineer needs to determine the slope between two points on a gondola
ride in order to evaluate the power requirements when the gondola is full of
passengers. A coordinate grid has been placed over a diagram between the
two points, as shown below. For estimation purposes, a straight line
between the two points can be used to find the slope.
Assuming the cable runs in a
straight line, what is the slope
of the line between the two
points shown?
1 / 4
48
WEEK OF MARCH 28TH, 2011
MA.912.A.3.10
In a technical drawing class, students are analyzing the side view of a house
that has been positioned on a coordinate grid, as shown below.
Which of the following equations
best represents the line that
contains PQ ?
49
WEEK OF MARCH 28TH, 2011
MA.912.A.3.10
On the coordinate grid below, line l is perpendicular to AB.
What is the slope of line l ?
2
50
WEEK OF MARCH 28TH, 2011
MA.912.A.3.11
David is training for a marathon. He writes down the time and distance for
each training run and then records the data on a scatter plot. He has drawn
a line of best fit on the scatter plot, as shown below.
Which statement best expresses
the meaning of the slope as a rate
of change for this line of best fit?
A. It represents the number of miles he
will have to run to finish the
marathon.
B. It represents the average speed, in
miles per hour, of his training runs.
C. It represents the number of hours he
will need to finish the marathon.
D. It represents the distances, in miles,
that he ran while he was training.
51
WEEK OF MARCH 28TH, 2011
MA.912.A.3.11
Joel graphed the line shown on the coordinate plane below.
What is the x-coordinate of the point at
which this line intersects the x-axis?
5 . 5
52
WEEK OF MARCH 28TH, 2011
MA.912.A.3.14
Russ bought 3 medium and 2 large submarine sandwiches for a total of
$29.95.
Stacy bought 4 medium and 1 large submarine sandwiches for a total of
$28.45.
Which statement shows the cost of each medium and each large submarine
sandwich?
A. Each medium sandwich costs $5.69 and each large sandwich costs $6.89.
B. Each medium sandwich costs $5.69 and each large sandwich costs $6.39.
C. Each medium sandwich costs $5.39 and each large sandwich costs $6.89.
D. Each medium sandwich costs $5.39 and each large sandwich costs $6.39.
53
WEEK OF MARCH 28TH, 2011
MA.912.A.3.14
A website that sells songs for downloading increased its price per song from
$0.99 to $1.29. Macy spent $15.36 downloading songs during the month of
the price increase. She downloaded 4 more songs at $0.99 than at $1.29. The
set of equations below represents the situation where x is the number of
songs Macy downloaded at $0.99 and y is the number of songs she
downloaded at $1.29.
What is the exact number of songs Macy downloaded at the $0.99 price?
9
54
WEEK OF MARCH 28TH, 2011
MA.912.D.7.1
The set T represents several Taurine breeds of cattle.
T = {Angus, Devon, Shorthorn, Texas Longhorn}
The set Z represents several Zebu breeds of cattle.
Z = {Boran, Nelore, Ponwar}
What is the total number of elements in the set T X Z ?
A.
7
B.
9
C.
12
D. 20
55
WEEK OF MARCH 28TH, 2011
MA.912.D.7.1
Set D lists the ages of Dianna’s grandchildren.
D = {2, 5, 6, 8, 10, 11}
Set K lists the ages of Karen’s grandchildren.
K = {2, 10, 18}
Set P lists the ages of Patrick’s grandchildren.
P = {10, 11, 14}
What is the greatest age in the set (K U P) ∩ D?
1 1
56
WEEK OF MARCH 28TH, 2011
MA.912.D.7.2
The universal set contains only sets R, S, and T. These sets are related as
shown in the Venn diagram below.
Which set represents
(~R U S) U (~T ∩ S)?
A. {d, e, f, j}
B. {d, j, k, m, n}
C. {d, e, f, j, k, m, n}
D. {d, e, f, g, j, k, m, n}
57
WEEK OF MARCH 28TH, 2011
MA.912.7.2
The Venn diagram below shows
the number of students who chose
to participate in each of the three
sports offered at Sports Camp.
Based on the diagram, what is
the total number of students who
did NOT participate in
volleyball?
3 5
58
WEEK OF APRIL 4TH, 2011
#1
MA.912.A.4.2
Which answer choice is equivalent to the product of the polynomials shown
below?
(3x + 2)(4x − 4)
A.
4(3x2 − 2)
B.
4(3x2 − x − 2)
C.
7x − 2
D. 4(3x − 2)
59
WEEK OF APRIL 4TH, 2011
#2
MA.912.A.4.2
Which of the following expressions is equivalent to (5x − 3)2?
A.
25x2 − 30x + 9
B.
25x2 − 15x + 9
C.
25x2 − 15x − 9
D. 55x2 − 9
60
WEEK OF APRIL 4TH, 2011
#3
MA.912.A.4.2
Which answer choice is equivalent to the sum of the polynomials shown
below?
(10x2 + 3x − 6) + (2x2 − 9x − 12)
A.
3(4x2 − 2x + 6)
B.
6(2x2 − x − 3)
C.
6(x − 3)
D. 18(x3 − 1)
61
WEEK OF APRIL 4TH, 2011
#4
MA.912.A.4.2
Which answer choice is equivalent to the product of the polynomials shown
below?
(8x + 3)(2x + 1)
A.
16x + 3
B.
16x(14x + 4)
C.
16x2 + 14x + 3
D. 16x2(14x + 4)
62
WEEK OF APRIL 4TH, 2011
#5
MA.912.A.4.2
Which answer choice is equivalent to the sum of the polynomials shown
below?
−(5x2 + x) + (7x + 3)
A.
5x2 − 10x
B.
−5x2 + 8x + 3
C.
−5x2 + 6x + 3
D. 5x2 − 6x − 3
63
WEEK OF APRIL 4TH, 2011
MA.912.A.4.2

Items from the second assessment from
FOCUS on http://www.florida-achieves.com/
64
WEEK OF APRIL 11TH, 2011
#1
MA.912.A.4.3
Which answer choice shows the expression below, factored completely?
18x2y2 + 36x3y3 − 27x3y
A.
3x2y(6y + 12xy − 9x)
B.
3(6x2y2 + 12x3y3 − 9x3y)
C.
9x2y(2y + 4xy2 − 3x)
D. 9(2x2y2 + 4x3y3 − 3x3y)
65
WEEK OF APRIL 11TH, 2011
#2
MA.912.A.4.3
Which answer choice shows the expression below, factored completely?
x2 − 2x − 120
A.
(x − 12)(x + 10)
B.
(x + 12)(x − 10)
C.
(x − 60)(x + 2)
D. (x + 60)(x − 2)
66
WEEK OF APRIL 11TH, 2011
#3
MA.912.A.4.3
Which answer choice shows the expression below, factored completely?
36x − 100y2x
A.
x(6 + 10y)(6 − 10y)
B.
4x(3 + 5y)(3 − 5y)
C.
x(36 − 100y2)
D. 4x(9 − 25y2)
67
WEEK OF APRIL 11TH, 2011
#4
MA.912.A.4.3
Which answer choice shows the expression below, factored completely?
2x2 + x − 28
A.
(x − 7)(2x + 4)
B.
(x + 7)(2x − 4)
C.
(2x − 7)(x + 4)
D. (2x + 7)(x − 4)
68
WEEK OF APRIL 11TH, 2011
#5
MA.912.A.4.3
Which answer choice shows the expression below, factored completely?
4a2b − 12ab + 5a − 15
A.
(4a2b − 12ab)(5a − 15)
B.
a(4ab − 12b + 5) − 15
C.
4ab(a − 3) + 5(a − 3)
D. (4ab + 5)(a − 3)
69
WEEK OF APRIL 11TH, 2011
MA.912.A.4.3
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70
WEEK OF APRIL 18TH, 2011
#1
MA.912.A.6.2
Which answer choice is equivalent to the expression below?
A.
0
B.
1
C.
6
D. 16
71
WEEK OF APRIL 18TH, 2011
#2
MA.912.A.6.2
Which answer choice is equivalent to the expression below?
A.
1/2
B.
2
C.
4
D. 20
72
WEEK OF APRIL 18TH, 2011
#3
MA.912.A.6.2
What is the value of x in the equation shown below?
(8x)[(2x)]−2 = 8
A.
1/8
B.
1/4
C.
1
D. 1/4
73
WEEK OF APRIL 18TH, 2011
#4
MA.912.A.6.2
Which answer choice is equivalent to the expression below?
A.
B.
C.
D.
74
WEEK OF APRIL 18TH, 2011
#5
MA.912.A.6.2
Which answer choice is equivalent to the expression below?
A.
4x
B.
8x
C.
8x2
D. 16x
75
WEEK OF APRIL 18TH, 2011
MA.912.A.6.2
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76
WEEK OF APRIL 25TH, 2011
#1
MA.912.A.7.1
Which of the following is the graph of the function y = x2 − 4x − 12?
77
WEEK OF APRIL 25TH, 2011
#2
MA.912.A.7.1
Which of the following equations represents
the graph shown below?
A.
y = −x2 − 6x + 55
B.
y = x2 − 6x + 55
C.
y = −x2 − 6x − 55
D. y = x2 − 6x − 55
78
WEEK OF APRIL 25TH, 2011
#3
MA.912.A.7.1
Which of the following equations
represents the graph shown
below?
A.
y = 3x2 + 12x − 36
B.
y = 2x2 + 8x − 24
C.
y = x2 + 4x − 12
D. y = −2x2 − 8x + 24
79
WEEK OF APRIL 25TH, 2011
#4
MA.912.A.7.1
Which of the following equations
represents the graph shown below?
A.
y = −x2
B.
y = x2
C.
y = −3x2
D. y = 3x2
80
WEEK OF APRIL 25TH, 2011
#5
MA.912.A.7.1
Which of the following is the graph of the function y = 3x2 − 6x − 9?
A.
B.
C.
81
WEEK OF APRIL 25TH, 2011
MA.912.A.7.1
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82
WEEK OF MAY 2ND, 2011
#1
MA.912.A.7.2
The function below can be used to describe the motion of a ball thrown
through the air.
f(x) = −x2 + 10x − 21
Which of the following shows the correct factorization of this function for
f(x) = 0?
A.
(x + 3)(x + 7) = 0
B.
(x + 3)(x − 7) = 0
C.
(−x + 3)(x − 7) = 0
D. (x − 3)(x + 7) = 0
83
WEEK OF MAY 2ND, 2011
#2
MA.912.A.7.2
Marna wants to find the values of x for which the function below will have a
value of 10.
f(x) = x2 + x − 20
Which of the following shows the correct factorization of this function for
f(x) = 10?
A.
(x + 5)(x + 4) = 10
B.
(x − 5)(x − 4) = 10
C.
(x + 6)(x − 5) = 0
D. (x + 5)(x − 6) = 0
84
WEEK OF MAY 2ND, 2011
#3
MA.912.A.7.2
Marly needs to solve the problem shown below by using the quadratic
formula.
f(x) = x2 + 7x + 1 = 31
Which of the following shows the quadratic formula being used correctly to
determine the solutions for this problem?
A.
B.
C.
85
D.
WEEK OF MAY 2ND, 2011
#4
MA.912.A.7.2
Jim used a quadratic function to solve a problem. The factored form of the
function is shown below.
(2x + 3)(3x − 7)
What is the positive solution to the problem? Enter your answer in the form
of a fraction.
7 / 3
86
WEEK OF MAY 2ND, 2011
#5
MA.912.A.7.2
Julianne used a quadratic function to solve a problem. The factored form of
the function is shown below.
(x − 3)(x − 4) = 0
What is the sum of the solutions to the problem?
7
87
WEEK OF MAY 2ND, 2011
MA.912.A.7.2
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88
WEEK OF MAY 9TH, 2011
MA.912.A.4.1
The expression (m6n5q3)2 is equivalent to which of the following?
A. m12n10q6
B. m36n25q9
C. 2m8n7q5
D. 2m12n10q6
89
WEEK OF MAY 9TH, 2011
MA.912.A.4.1
Mina simplified the expression shown below.
(a3b-6)(a2b2)
Her final answer was in the form ambn . If she simplified the expression
correctly, what is the value of n, the exponent on b ?
- 4
90
WEEK OF MAY 9TH, 2011
MA.912.A.4.2
Which expression is equivalent to the perimeter of the shaded portion of the
rectangle?
A. 2x
B. 2x
C. 4x
D. 8x
+ 10
+ 12
+ 14
+ 28
91
WEEK OF MAY 9TH, 2011
MA.912.A.4.2
New photo imaging techniques on computers allow artists to distort an
image from its original shape. Figure 1 is a square image. Figure 2 is
stretched 4 units wider and shrunk 4 units shorter
than Figure 1.
How many square units greater is the area of Figure 1 than the area of
Figure 2?
1 6
92
WEEK OF MAY 9TH, 2011
MA.912.A.4.3
Members of the art club want to raise money for their next field trip. They
plan to decorate greeting cards with glitter and origami animals made of
origami paper. They wrote the expression below to help calculate their total
expenses.
(np + ng) + nc
where:
c = cost of one greeting card
g = cost of glitter per card
p = cost of origami animals per card
n = number of cards
Which of the following expressions is equivalent to the expression above?
A. n(p + g + c)
B. n(p + g) + c
C. 3n(p + g) + c
D. 3n(p + g + c)
93
WEEK OF MAY 9TH, 2011
MA.912.A.4.4
Charlie needs to simplify the expression below before he substitutes values
for x and y.
If x  0 and y  0, which of the following is a simplified version of the
expression above?
94
WEEK OF MAY 9TH, 2011
MA.912.A.5.4
Tammy made similar models of a building, with dimensions, in inches, as
shown in the diagram below.
What is the value, in inches, of x?
A. 3
B. 4
C. 5
D. 6
95
WEEK OF MAY 9TH, 2011
MA.912.A.5.4
What is the solution of the equation below?
- 4 2 / 5
96
WEEK OF MAY 9TH, 2011
MA.912.A.6.2
Neelam simplified the expression below for a homework assignment.
If Neelam simplified the expression correctly, which of the following is her
answer?
97
WEEK OF MAY 9TH, 2011
MA.912.A.7.1
Which of the following is the graph of y = x2 + 2x - 8?
A.
C.
B.
D
.
98
WEEK OF MAY 9TH, 2011
MA.912.A.7.2
Jeannie solved the quadratic equation shown below by factoring.
x2 + 2x – 8 = 0
Which of the following shows a step in solving the equation shown?
A. (x + 2)(x + 4) = 0
B. (x + 2)(x – 4 ) = 0
C. (x – 2 )(x + 4) = 0
D. (x – 2 )(x – 4 ) = 0
99
WEEK OF MAY 9TH, 2011
MA.912.A.7.2
A ball is kicked from ground level into the air. Its height y, in feet, after x
seconds can be represented by the equation y = 40x – 16x2.
What is the total elapsed time, in seconds, from the time the ball is kicked
until it reaches ground level again?
2 . 5
100