Transcript Algebra 1 Bell Ringers

Algebra 1 Bell Ringers
2nd 6 Weeks
Objective 6
The student will demonstrate
an understanding of
geometric relationships and
spatial reasoning.
8.6B
The student is expected to graph
dilations, reflections, and translations.
8.6B
Triangle XYZ is translated so that X is
mapped to X′. Which coordinate pair best
represents Y′?
A.
B.
C.
D.
(−3, −8)
(2, −7)
(2, −6)
(2, −2)
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8.6A
ΔLMN has vertices L (a, b), M (r, s), and
N (u, v). What will be the new coordinates of
point M if the triangle is translated 7 units to
the right and 3 units down?
A.
B.
C.
D.
(r + 3, s − 7)
(r + 7, s − 3)
(r − 7, s + 3)
(r − 3, s + 7)
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8.7D
The student is expected to locate and
name points on a coordinate plane
using ordered pairs of rational
numbers.
8.7D
Jake made a map of his neighborhood for a
school project. He placed a grid over the
map. Which coordinate point best represents
the post office?
A. (6, 12)
B. (12, 6)
C. (1.2, 0.6)
D. (0.6, 1.2)
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8.7D
Points K and L are shown on the grid below.
If point K is the midpoint of JL, what are the
coordinates of endpoint J?
A.
B.
C.
D.
(6, −5)
(−6, 7)
(0, 1)
(−4, 5)
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8.7D
Which point on the grid below best
represents the coordinates (8/3 , 7/3)?
A. Point K
B. Point M
C. Point R
D. Point U
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Objective 7
The student will demonstrate
an understanding of twoand three- dimensional
representations of
geometric relationships and
shapes.
8.7B
The student is expected to use
geometric concepts and properties to
solve problems in fields such as art
and architecture.
8.7B
**Open Response**
A lawn is shaped like a parallelogram
with a base of 32 feet and a height of 15
feet. Covering the lawn with grass will
cost $2.60 per square foot. How much
money will it cost to cover the lawn
with grass?
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8.7B
A 12- by 16-foot rectangular floor will
be covered by square tiles that
measure 2 feet on each side. If the
tiles are not cut, how many of them
will be needed to cover the floor?
A. 192
B. 96
C. 48
D. 14
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8.7B
An artist made a drawing of a house with a
tree next to it. The drawing is 1/18 the size of
the actual house and tree. The tallest point of
the house is 12 feet 8 inches, and the tree is
27 feet tall. How many inches tall is the tree
in the drawing?
A. 8.4 in.
C. 23.4 in.
B. 18 in.
D. 486 in.
L3
8.7B
Ms. Hill wants to carpet her rectangular
living room, which measures 14 feet by 11
feet. If the carpet she wants to purchase
costs $1.50 per square foot, including tax,
how much will it cost to carpet her living
room?
A. $50
C. $154
B. $75
D. $231
L3
8.7B
Olga plans to take a trip from her house in
San Marcos, Texas, to a friend’s house in
Zapata, Texas. She measured the distance
between the two places on a map and found
it to be 8 inches. If the scale on the map is
inch represents 14 miles, which is closest
to the actual distance in miles between the
two places?
A. 112 mi
C. 56 mi
B. 224 mi
D. 44 mi
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Objective 4
The student will formulate
and use linear equations.
A.7A
The student is expected to analyze
situations involving linear functions
and formulate linear equations or
inequalities to solve problems.
A.7A
The number of hours Abe practices golf
each week, g, is 2 more than the
number of hours he runs, r. Which
equation represents the number of
hours he runs each week?
A.
B.
C.
D.
r=g−2
g=r−2
g = 2r
r=g+2
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A.7A
Passengers on many commercial flights may
make calls from a telephone provided by the
airline. On a certain airline a call costs $3 to
connect plus $2 for each minute. Which
equation best represents c, the total cost for
a call that lasts m minutes?
A.
B.
C.
D.
m = 3 + 2c
c = 3 + 2m
m = 2 + 3c
c = 2 + 3m
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A.8A
The student is expected to analyze
situations and formulate systems of
linear equations in two unknowns to
solve problems.
A.8A
The perimeter of a rectangular wooden deck
is 90 feet. The deck’s length, L is 5 feet less
than 4 times the width, W. Which system of
linear equations can be used to determine
the dimensions, in feet, of the wooden deck?
A. 2L + 2W = 90
L = 5 – 4W
C. 2L + 2W = 90
L = 4 – 5W
B. 2L + 2W = 90
L = 5W – 4
D. 2L + 2W = 90
L = 4W – 5
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A.8A
The Frosty Ice-Cream Shop sells sundaes for
$2 and banana splits for $3. On a hot summer
day, the shop sold 8 more sundaes than
banana splits and made $156. Which system
of equations could be used to find the number
of sundaes, s, and banana splits, b, that the
shop sold that day?
A. 2s + 3b = 156
s=b+8
C. 2s + 3b = 8
s = b + 156
B. 2b + 3s = 156
s+b=8
D. 2s + 3b = 156
b−s=8
L3
Objective 5
The student will demonstrate
an understanding of
quadratic and other
nonlinear functions.
A.11A
The student is expected to use
patterns to generate the laws of
exponents and applies them in
problem-solving situations.
A.11A
Which expression best represents the area
in square units of the rectangle that has a
width of 4x³y² and a length of 3x2y3?
A. 12x6y6
B. 12x5y5
C. 7x6y6
D. 7x5y5
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A.11A
Which expression is equivalent to
(8x3)(2x5)
4x6
A. 4x9
B. 4x2
C. 2x8
D. 2x4
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Objective 9
The student will demonstrate
an understanding of
percents, proportional
relationships, probability,
and statistics in application
problems.
8.13B
The student is expected to recognize
misuses of graphical or numerical
information and evaluate predictions
and conclusions based on data
analysis.
8.13B
The chart shows the amount of farmland in six
western states. Which of the following
statements is supported by the chart’s
information?
State
A. Texas has more farmland
Arizona
than the other states combined.
Colorado
B. Montana has twice as much
farmland as Wyoming has.
Montana
C. The range of farmland acreage New Mexico
in all states is 95.9 mil.
Texas
D. The median number of farmland
Wyoming
acreage of all states is 40.9 mil.
# of Acres
(Millions)
35.0
34.0
59.6
46.8
130.9
32.9
L3
8.13B
The table shows the results of a survey given to
450 graduating seniors about their educational
plans after high school. Based on these data,
which of the following statements is true?
A. Only 15 students have no future educational plans.
B. More students plan to attend a community college or
technical school than plan to attend a university.
C. Fewer than half of the students plan to attend a univ.
D. Fewer than one-fourth of the students plan to attend a
community college.
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Objective 5
The student will demonstrate
an understanding of
quadratic and other
nonlinear functions.
A.11A
The student is expected to use
patterns to generate the laws of
exponents and applies them in
problem-solving situations.
A.11A
Which expression represents the area of a
rectangle with sides measuring 2x2y4z units
and 5xy4z3 units?
A. 7x²y8z
B. 7x3y8z4
C. 10x3y8z4
D. 10x2y8z3
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A.11A
What is the simplified form of
a4b2c ?
a3b5c2
A. ab³c²
B. _a_
b³c³
C. a7b7c3
D. _a_
b³c
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Objective 8
The student will demonstrate
an understanding of the
concepts and uses of
measurement and similarity.
8.9A
The student is expected to use the
Pythagorean Theorem to solve real life
problems.
8.9A
Mr. Carpenter built a wooden gate, as shown
below. Which is closest to the length in feet
of the diagonal board that Mr. Carpenter
used to brace the wooden gate?
A.
B.
C.
D.
4.9 ft
5.3 ft
6.1 ft
6.9 ft
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8.9A
In a town, there is a small garden shaped like
a triangle, as shown below. The side of the
garden that faces Sixth Street is 80 feet in
length. The side of the garden that faces
Third Avenue is 30 feet in length. What is the
approximate length of the side of the garden
that faces Elm Street?
A. 35 ft
B. 40 ft
C. 85 ft
D. 110 ft
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Objective 8
The student will demonstrate
an understanding of the
concepts and uses of
measurement and similarity.
8.8A
The student is expected to find lateral
and total surface area of prisms,
pyramids, and cylinders using concrete
models and nets (two-dimensional
models).
8.8A
The net of a cylinder is shown below.
After measuring the radius to 5/8 in.
and the height to be 2 1/8 in., which is
closest to the total surface area of this
cylinder?
A.
B.
C.
D.
4 in.2
11 in.2
14 in.2
25 in.2
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8.8A
The net of the cube is shown below.
The measure of the dimensions of the
cube to the nearest ¼ of an inch is 1 ¼
inch. Find the total surface area to the
nearest square inch.
A. 2 in.2
B. 9 in.2
C. 14 in.2
D. 18 in.2
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8.9B
The student is expected to use
proportional relationships in similar
two-dimensional figures or similar
three dimensional shapes to find
missing measurements.
8.9B
Kate has 2 similar triangular pieces of paper,
as shown below. Using the dimensions
given, find the approximate length of the
side labeled p.
A.
B.
C.
D.
2.4 centimeters
7.3 centimeters
16.5 centimeters
19.6 centimeters
L1
8.9B
If ΔTSR is similar to ΔTNM, what is the
length of x?
A. 240 units
B. 140 units
C. 120 units
D. 70 units?
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Objective 9
The student will demonstrate
an understanding of
percents, proportional
relationships, probability,
and statistics in application
problems.
8.11B
The student is expected to use
theoretical probabilities and
experimental results to make
predictions and decisions.
8.11B
A spinner was spun 20 times. The results are
shown in the table below. Which color on the
spinner has the same experimental
probability as theoretical probability?
A.
B.
C.
D.
Red
White
Blue
Yellow
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8.12A
The student is expected to select the
appropriate measure of central
tendency or range to describe a set of
data and justify the choice for a
particular situation.
8.12B
Ms. Díaz asked each of her 27 statistics
students to write down an integer from 1 to
10. To determine the most common number
the students picked, which measure of
central tendency should Ms. Díaz use?
A. Mode
C. Median
B. Mean
D. Range
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Objective 10
The student will demonstrate
an understanding of the
mathematical processes and
tools used in problem
solving.
8.14A
The student is expected to identify and
apply mathematics to everyday
experiences, to activities in and outside
of school, with other disciplines, and
with other mathematical topics.
8.14A
A newspaper reported that the mean height of
waves in the Norwegian Sea increased by
4 inches per year from 1955 to 1994. What
additional information is needed to calculate
the mean wave height in 1994?
A. The mean height of waves in 1955.
B. The range of wave heights from 1955 to 1994.
C. The projection of the mean height of waves
for the next year.
D. The distance from land to where the wave
measurements were taken.
L4
8.14A
Mr. McGregor wanted to cover his living room floor with
carpet that cost $12 per square yard. The blueprint shows
the area of the living room relative to the area of the
house. What information must be provided in order to find
the total cost of the carpet?
A. The lengths and widths of the
adjoining rooms in the blueprint.
B. The scale of yards to inches
in the blueprint.
C. The total area of the house in
the blueprint.
D. The thickness of the carpeting
in inches.
L4
8.14A
The astronomy club rented a bus to visit the
planetarium. The club rented the bus at a rate of
$24.95 per day plus $0.45 per mile driven over 50
miles. If the astronomy club rented the bus for 1
day, what additional information is needed to
determine the total cost of renting the bus?
A. The total number of students in the
astronomy club.
B. The number of hours the bus was driven
each day.
C. The number of days the bus was rented.
D. The total number of miles the bus was
driven.
L4
8.14A
Narong’s family bought 3 shirts, 2 pairs of jeans,
and 2 pairs of shoes. Each shirt cost $18, and
each pair of shoes cost $35. The jeans were
marked down from their original price of $40.
What other information, if any, is needed to find
the total cost of the 7 items before tax?
A.
B.
C.
D.
The percent markdown for the shirts.
The original price of the jeans.
The percent markdown for the jeans.
No additional information is needed.
L4
Objective 9
The student will demonstrate
an understanding of
percents, proportional
relationships, probability,
and statistics in application
problems.
8.12C
The student is expected to select and
use an appropriate representation for
presenting and displaying relationships
among collected data including line
plots, line graphs, stem and leaf plots,
circle graphs, bar graphs, box and
whisker plots, histograms, and Venn
diagrams.
8.12C
Which histogram best reflects the data shown in
the table?
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8.12C
Students in algebra class took their first test. Of
40 students taking the test, 12 received an A, 16
received a B, 8 received a C, 2 received a D, and
the remaining received an F. Which circle graph
best represents these data?
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8.11B
The table below shows the number of student
absences for the school year in Mr. Cruz’s math
classes. Which of the following graphs best
represents the data shown in the table?
A.
B.
C.
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8.13B
The student is expected to recognize
misuses of graphical or numerical
information and evaluate predictions
and conclusions based on data
analysis.
8.13B
The graph below shows the amount of time Dennis
spent studying over a 2-week period in October.
Which of the following statements would be an
invalid conclusion for these data?
A. Dennis spent a total of
660 minutes studying.
B. Dennis studied for an average
of about 47 minutes per day.
C. Dennis studied for an average
of 330 minutes per week.
D. Dennis earned good grades
during this 2-week period.
L3
8.12B
100 elementary students were surveyed to see
which activity they preferred. Which of the following
statements is supported by these data?
A. Close to half the students
surveyed preferred either the
moon walk or the dunking booth.
B. More than 25% of the students
surveyed preferred the pony ride
or the pie toss.
C. The ratio of students who
preferred musical chairs to the
pie toss was 1:3.
D. More students preferred musical
chairs than preferred all the other
activities combined.
L3
Objective 10
The student will demonstrate
an understanding of the
mathematical processes and
tools used in problem
solving.
8.14B
The student is expected to use a
problem solving model that
incorporates understanding the
problem, making a plan, carrying out
the plan, and evaluating the solution for
reasonableness.
8.14B
A block of ice is melting at an average
of ½ of its weight each hour. After 5
hours the block weighed 1 pound. How
much did the block weigh originally?
A. 5 lb
C. 16 lb
B. 10 lb
D. 32 lb
L4
Objective 8
The student will demonstrate
an understanding of the
concepts and uses of
measurement and similarity.
8.8A
The student is expected to find lateral
and total surface area of prisms,
pyramids, and cylinders using concrete
models and nets (two dimensional
models).
8.8A
The net of a cube is shown below. The
measure of the dimensions of the cube
to the nearest tenth of a centimeter is
3.5 centimeters. Which is the closest to
the total surface area of the cube
represented by this net?
A. 74 cm.2
B. 11 cm.2
C. 43 cm.2
D. 12 cm.2
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8.8B
The student is expected to connect
models of prisms, cylinders, spheres,
and cones to formulas for volume of
these objects.
8.8B
The net of a cube is shown below. The
measure of the dimensions of the cube to
the nearest tenth of a centimeter is 2.2 cm.
Which best represents the volume of this
cube to the nearest cubic centimeter?
A. 11 cm3
B. 13 cm3
C. 30 cm3
D. 42 cm3
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8.8C
The student is expected to estimate
measurements and use formulas to
solve application problems involving
lateral and total surface area and
volume.
8.8C
A farmer uses a storage container shaped
like a right cylinder to store his corn. The
container has a radius of 5 feet and a height
of 20 feet. The farmer plans to paint only the
side of the cylinder with red paint. If 1 gallon
covers 325 square feet, how many gallons
will it take to complete the job?
A. 2 gal
C. 5 gal
B. 3 gal
D. 7 gal
L3
8.8C
A 72 inch piece of wire was cut into equal
segments, which were soldered at the ends
to form the edges of a cube. What is the
volume of the cube? ?
A. 216 in3
B. 576 in3
C. 729 in3
D. 1728 in3
L3
8.8C
A cylindrical water tank has a radius of
2.8 feet and a height of 5.6 feet. The water
tank is filled to the top. If water can be
pumped out at a rate of 36 cubic feet per
minute, about how long will it take to empty
the water tank?
A. 3 hrs
C. 4 min
B. 2 hrs
D. 1 min
L3
8.8C
Mrs. Lee bought a small rectangular box that
contains 10 tightly packaged erasers shaped
like rectangular prisms, as shown below.
What is the approximate volume in cubic
centimeters of this rectangular box?
A. 19 cm3
B. 97 cm3
C. 192 cm3
D. 513 cm3
L1
8.8C
The student council members are making
decorative labels to cover 20 identical empty
coffee cans for a charity drive. Each label
will cover the entire lateral surface area of a
can. Which is closest to the lateral surface
area of a single coffee can??
A. 186 in2
B. 157 in2
C. 195 in2
D. 128 in2
L1
8.9A
The student is expected to use the
Pythagorean Theorem to solve real life
problems.
8.9A
A square park has a diagonal walkway from
1 corner to another. If the walkway is about
38 yards long, what is the approximate
length of each side of the park?
A.
B.
C.
D.
6 yd
9 yd
27 yd
54 yd
L1
8.9B
The student is expected to use
proportional relationships in similar
two-dimensional figures or similar
three dimensional shapes to find
missing measurements.
8.9B
ΔMNQ is similar to ΔMLP. If ML = 10
centimeters, what is the length of MN?
A. 6.25 cm
B. 8.3 cm
C. 7.5 cm
D. 4 cm
L1
8.10A
The student is expected to describe the
resulting effects on perimeter and area
when dimensions of a shape are
changed proportionally.
8.10A
Describe the effect on the area of a circle
when the radius is doubled.
A. The area is reduced by 1/2.
B. The area remains constant.
C. The area is doubled.
D. The area is increased four times.
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8.10A
Tony and Edwin each built a rectangular
garden. Tony’s garden is twice as long and
twice as wide as Edwin’s garden. If the area
of Edwin’s garden is 600 square feet, what is
the area of Tony’s garden?
A. 1200 ft2
B. 2400 ft2
C. 3600 ft2
D. 4800 ft2
L3
8.10A
The scale factor of two similar polygons is
2:3. The perimeter of the larger polygon is
150 centimeters. What is the perimeter of the
smaller polygon?
A.
B.
C.
D.
100 cm
75 cm
50 cm
150 cm
L1
8.10A
If the dimensions of a rectangle are doubled,
which of the following best describes an effect
on the rectangle?
A. The new area will be 2 times as large as
the original area.
B. The new area will be 8 times as large as
the original area.
C. The new perimeter will be 4 times as
large as the original perimeter.
D. The new perimeter will be 2 times as
large as the original perimeter.
L3
8.10B
The student is expected to describe the
resulting effects on volume when
dimensions of a solid are changed
proportionally.
8.10B
A cylindrical fruit-juice can has a volume of
64 fluid ounces. A second cylindrical can
has dimensions that are ¾ the size of the
larger can. Which is closest to the volume
of the smaller can?
A. 20 fl oz
C. 36 fl oz
B. 27 fl oz
D. 48 fl oz
L1