Transcript Slide 1

GOAL 4 CLASSWORK/HOMEWORK
What is the central angle for clothing?
What is the interquartile range for the
box-and-whisker plot?
What is the interquartile range for the 1st
Set?
What is the interquartile range for the 2nd
Set?
What is the range of the data?
What is the range of the data?
Which set has a greater median?
How many teams had a score of 50 or
above?
What is the median for the set of data?
GOAL 2 CLASSWORK/HOMEWORK
GOAL 1 CLASSROOM
In a group of 20 students, there are
11 girls. What is the ratio of boys to
girls.
A. 9:11
B. 9:20
C. 11:9
D. 11:20
The manufacture’s price for a tent is
$28.50 A camping store that bought
The tents sells them for $40.76.
Approximately what was the percent of
increase in the price of the tents?
A city’s daily temperatures in January
fluctuated between -7oF and 2oF. What
was the temperature range?
A. 2oF
B. 5oF
C. 7oF
D. 9oF
Two numbers are represented by the
points S and R on the number line.
S
R
•
•
Which statement is true?
A. 43%
B. 57%
C. 75%
D. 76%
Larry spent $34.00 for 12 gallons of
Gasoline. At the same price per gallon,
how many gallons could he buy for
$51.00?
According to the 1998 Census Bureau
Data, New York City was ranked
number 11 in population with a
population of approximately 7.3 x 106
people. Los Angeles ranked number 2
with a population of slight less than
half that of New York City. Which of
the following is the appropriate
population of Los Angeles?
A. S ÷ R > 0
B. S – R > 0
C. S • R < 0
D. S + R < 0
A 20-foot piece of rope will be cut into
as many 1 1/2 foot sections as
possible. How much rope will be left
over?
A. 17 Gallons
B. 18 Gallons
A. 6 inches
B. 6 2/3 inches
C. 29 Gallons
D. 30 Gallons
C. 10 Inches
D. 13 1/3 inches
A. 135,000
B. 3,500,000
C. 3,900,000
D. 14,700,000
A truck has traveled 75 miles in 1.5
hours of driving. At the same speed,
which proportion can be used to
determine how long, T (in hours), it
would take the truck to travel 325
miles?
1.5
75
A. ——— = ——
325
T
325
75
B. ——— = ——
1.5
T
325
1.5
C. ——— = ——
75
T
75
1.5
D. ——— = ——
325
T
GOAL 1 CLASSROOM CONTINUED
Chris is making pancakes. The recipe
makes four servings.
PANCAKE RECIPE
4 SERVINGS
3/4 cups flour
1/2 cup milk
1 egg
1 tablespoon oil
He wants to make enough for six
servings. How much flour does he
need?
A. 1 1/2 cups
B. 1 1/8 cups
C. 1 cup
D. 3/16 cup
Macey spent 2/3 of her money on a
book. She has $6.50 left. How much
did she spend on the book?
A. $3.25
B. $9.75
C. $13.00
D. 19.50
A copying machine reduces a 12-inch
line segment to 10.5 inches. At this
setting, what would a 16-inch line
segment become?
A. 12 inches
Help! I only have $6.21 left after
shopping. I think I should have more.
I purchase 3 pairs of earrings for $4.95
each, two necklaces for $7.95 each and
a new purse for $5.50. Sales tax would
be 7% on these purchases. I began
shopping with $50.00. How much
change should I have?
B. 14 inches
C. 16 inches
D. 18 inches
Mr. Boyd purchased a CD player for
$97.19 including tax. The CD player
Had a sticker price of $89.99. About
what percent sales tax did he pay?
A. 6%
B. 7% C. 8% D. 9%
A 6-ounce box of strawberry gelatin
costs $0.90 and a 3-ounce box costs
$0.42. What is the difference in cost
per ounce between the larger and the
smaller boxes?
A. $0.48 B. $0.04 C. $0.03 D. $0.01
Harvey Christopher wants to fence in
his rectangular yard that measures 10
1/2 yards by 20 3/4 yards. If fence
material costs $2.25 per yard, how
much will Harvey Christopher spend to
fence in his entire yard?
From a bolt of cloth measuring 20 2/3
yards, Madison cut a 5 3/4 yard piece
and a 11.5 yard piece. How much
material is left on the bolt?
GOAL 1 CLASSROOM CONTINUED
Asiana bought a pair of $59.00 jeans at
10% off. Bianca found the same pair of
$59.00 jeans on sale for $54.00. Nancy
bought two pair of the same $59.00
jeans for $105.00.
How much did Asiana pay for her
jeans?
Mr. Hamilton and Ms. Loh gave the
same test to the 7th grade math
classes. In Mr. Hamilton’s class, 20 out
of 25 students passed the test, and in
Ms. Loh’s class, 24 out of 30 passed
the test.
What percentage passed in Mr.
Hamilton’s class?
What is the percent of decrease on the
pair of jeans that Bianca bought.
Calculate the percent of decrease for
one pair of Nancy’s jeans using $59.00
as the original price.
What is the average percent of
decrease?
A new home was built in 1990. In 1995,
the home was appraised and its value
increased 15%. In 2000, the home was
again appraised and its value
increased 10% over the 1995 amount.
If a 5% increase in value occurs in the
next 5 years, what is the net increase in
value based on the value of the home
in 1990?
What percentage passed in Ms. Loh’s
class?
Jamie is a realtor for a local real estate
company and receives a commission
of 4.5% on the selling price of the
home she sells. The selling prices of
three homes she sold during the
month of June were $98,500; $155,000;
and $225,000. What was the
commission she received for the
month of June?
You have a 15% discount coupon for
the most popular shoe store in the
mall. You would like to use your
coupon to purchase the newest
athletic shoes available. The store
advertises the price of these shoes at
$179. Determine what you will pay for
the shoes including 7% sales tax.
GOAL 1 HOMEWORK CONTINUED
Caitlyn’s family drove 329.44 miles.
Caitlyn determined the car average
28.4 miles per gallon of gasoline.
About how many gallons of gasoline
did the car use?
A certain machine produces 300 nails
per minute. At this rate, how long will
it take the machine to produce enough
nails to fill 5 boxes of nails if each box
will contain 250 nails?
Barney has cows and pigs in his
barnyard. The ratio of cows to pigs is
2 to 3. If there are 100 animals in the
barnyard, how many of each are there?
Marquisha plans to place a border
around the quilt she and her
grandmother made together. The
dimensions of the quilt are 8 ft by 4 1/2
ft. If she purchases 8 yards of material
for the borders, how much more
material does she need to buy (in yards
and in feet)?
At La Cantina Italian Grill 12 girls
shared 5 pizzas equally and eight boys
shared three large pizzas equally. Who
ate more pizza, a boy or a girl?
What percent did each girl eat?
What percent did each boy eat?
Yards _________Feet
Jody, Blaine and Billy are best friends.
Unfortunately, they were placed on
each of the three seventh grade teams
at their school. Each of their math
teachers gave the same test last week
but their grading methods were
different. Blaine said he received a
score of 25/30. Billy reported a score
of 75%. Jody explained that his
teacher records scores as a ratio of the
number of problems correct to the
number of problems incorrect and that
he received a score of 24:6. Give the
friends’ performance in ascending
(lowest to highest) order.
_________
Brendan started a new exercise
program that requires him to run 10
miles a week. On Monday he ran 2 1/2
miles and on Tuesday he ran 1 3/4
miles. If he chooses not to run on
Wednesday or Thursday, how many
miles must he run on each of the
remaining days?
Tyler mixed 6 ounces of cherry syrup
with 53 ounces of water to make a
cherry flavored drink. Mark mixed 5
ounces of the same cherry syrup with
42 ounces of water. Who made the
drink with the stronger cherry flavor
and by what amount?
GOAL 1 HOMEWORK CONTINUED
A sporting goods store purchases
snowboards, skis, and sleds for the
wholesale prices listed in the chart.
These are the prices paid by the
sporting goods store to the various
distributors. Based on the indicated
markup given in the chart, find the
retail price for each item.
Item
Wholesale Price
Mr. Chavis gets a monthly statement
on his investments from his financial
adviser. The change in the value of his
investments for the last six months
was:
+$327.50, +$98.85, -$63.77, -$38.23,
+$22.97 Estimate the net change over
the last six months.
$78
125%
$54
110%
Skis
$189
105%
Brianna has invested money in some
stock and keeps track of the loss or
gain per share on a daily basis. On
Friday of last week, the value of a
share of the stock was $36.71 when the
stock exchange closed for the day. If
the net change for Wednesday was
-0.15, for Thursday +1.23, and for
Friday -0.03, what was the value of a
share of the stock when the stock
exchange closed last Tuesday?
Snowboard __________________
Sled ____________________
Skis ____________________________
D
-1
C
0
A
1
B
For each of the following, insert the
symbol <,>, or = to make a true
statement.
Markup
Snowboard
Sleds
The numbers 0, 1, -1, A, B, C, D are
located on the number line below:
A. A ______B
B. C – D ______ 1
C. B + C ___0
D. C • B _____ 0
E. D + C ___ 0
F. B + A ____ 0
G. C • A ___-1
H. C • C ____ 0
The recipe for a cake calls for twothirds of a cup of oil, three and a half
cups of flour and one cup of milk. The
bowl Damien wants to use to mix the
cake holds three quarts. Is it sufficient
for the task?
GOAL 2 CLASSROOM
On a map, 1 cm represents 3 km. The
distance between the airport and the
bus station on the map is 5.4 cm.
What is the actual distance between
the airport and the bus station.
ROAD
Lot 21 is a trapezoid with the two bases A rectangular piece of land will be
perpendicular to the road. The scale
divided diagonally into two congruent
drawing below uses the scale
triangular sections. One section will be
1/2 inch = 40 feet.
covered with grass and the other
section will be paved. The blueprint
3 1/2 IN
measurements for the piece of land are
5 inches wide by 12 inches long. The
LOT 21
4 IN
blueprint scale is 1/4 inch = 10 feet.
How much area will be paved?
5 IN
A. 16.2 km
B. 8.4 km
C. 2.4 km
D. 1.8km
A. 2,400 ft2
B. 9,600 ft2
C. 48,000 ft2
D. 96,000 ft2
Aries has a cube that measures 7 cm
on each edge.
A. 1/2 acre
B. 2 acres
C. 2 1/2 acres
D. 3 acres
7 CM
A drawing of a deck has a scale of
1 inch equal to 5 feet. The actual deck
is 18 feet long. How long is the deck
in the scale drawing?
What is the approximate area of Lot 21?
{A= 1/2 h (b1 + b2)}
(1 acre = 43,560 Square Feet)
What is the
surface area of the
cube?
What is the approximate volume of a
cylinder with a radius of 4 feet and a
height of 15 feet?
A. 5.0 in
B. 3.6 in
c. 1.3 in
D. 0.3 in
A. 189 ft3
B. 377 ft3
A. 343 cm2
B. 294 cm2
C. 754 ft3
D. 1,508 ft3
C. 49 cm2
D. 21 cm2
GOAL 2 CLASSROOM CONTINUED
Snake needs to buy sand for this box.
He wants to nearly fill the box, leaving
only 6 inches empty at the top.
Find the lateral surface.
3 feet
A swimming pool is 50 meters long,
25 meters wide, and 3 meters deep. A
liter is the same as 0.001 cubic meter.
How many liters of water are need to
fill the pool?
2 feet
A. 375 L.
B. 3,750 L
C. 375,000 L
D. 3,750,000 L
The formula for the area of a trapezoid
is A= 0.5h (b1 +b2). If b1 + b2 = 25 cm
and the area is 25 cm2. find the value
of h.
A can of cola drink has a diameter of
65 mm and a height of 15 cm.
Compute the volume!
How much sand does Snake need?
A. 60 ft3
B. 66 ft3
C. 72 ft3
D. 84 ft3
Ronnisha covered a box with stickybacked decorating paper. The paper
costs 3¢ per square inch. How much
money will Ronnisha need to spend on
paper?
h = 9 in
w = 3 in
l = 7 in
A can of cola drink has a diameter of
65 mm and a height of 15 cm.
Compute the surface Area!
GOAL 3 CLASSROOM
How would this block model look
from the top?
What is the least number of cubes
Needed to form a three-dimensional
Figure with the given left side, front
and top views?
Haley has 4 congruent isosceles
triangles and a square. The sides of
the square are congruent to the base
of each triangle. What 3-dimensional
figure can Haley make using all of
these shapes?
A. Square prism
A.
B. Square pyramid
Left side
B.
A. 4
Front
Top
B. 6 C. 7 D. 10
C.
∆STU ~ ∆XYZ. Which statement
must be true?
D.
A. The measure of STU is half
the measure of XYZ.
∆XYZ has side lengths of 15m, 20m and
25m. What could be the side lengths of
a triangle similar to ∆XYZ?
A. 5m, 6m, and 7m
B. 3m, 4m, and 5m
C. 5 cm, 10cm, and 15cm
D. 30mm, 40mm, and 55mm
B. The measure of STU is equal
the measure of XYZ.
C. Triangular prism
D. Triangular pyramid
Which plane figures are similar?
A.
B.
C. The measure of STU is double
the measure of XYZ.
D. The measure of STU is
complementary to the measure
of XYZ.
C.
D.
GOAL 3 CLASSROOM CONTINUED
Micaela used similar triangles to find a
relationship between the width of the
river and the distance MN. ∆LMN is
similar to ∆LKT. The measure of
angle N is 62o.
∆RST is an isosceles triangle with
RS ~
= RT.
L
18m
R
What is the value of x?
S
K
N
Which angle has the same measure
as angle N?
B. ‫ﮮ‬NLM
C. ‫ﮮ‬NML
D. ‫ﮮ‬LTK
x
T
M
4.5
N
A. 12m B. 13m C. 18m D. 27m
If ∆RST is similar to ∆LMN, what is the
value of x?
A. 2
A. ‫ﮮ‬LKT
10m
6
RIVER
L
x
13.5
T
M
The two polygons are similar.
15m
B. 3
C. 4
D. 5
In the figure below, GH is parallel to JK,
so the two triangles are similar.
G
What is the value of x?
The ratio of the dimensions of a
rectangular picture is 5 : 4. The shorter
dimension is 6 1/2 inches. What is the
longer dimension?
A. 4.0 B. 5.3
x
C. 9.0 D. 10.2
A. 5 1/4 B. 7 1/2 C. 7 3/4 D. 8 1/8
Rug P and Rug Q are two similar
rectangular rugs. The dimensions of
Rug P are 4 feet wide by 5 feet long.
Rug Q is 8 feet wide. What is the
length of Rug Q?
A. 15 feet
B. 10 feet
C. 8 feet
D. 2 1/2 feet
5
I
H
J
6
8.5
7.5
K
GOAL 3 HOMEWORK CONTINUED
If a cone is cut parallel to its base,
what do the cross-sections look like?
If the above hemisphere is sliced parallel to
line l what would the cross-sections look like?
12.5 cm
Is triangle LMN similar to triangle
PQR? Explain.
M
10 m
7m
R
P
10 m
L
If a cone is cut perpendicular to its base,
what do the cross-sections look like?
45o
l
Q
N
If this hemisphere is sliced perpendicular
to line l, what do the cross-sections look
like?
12.5 cm
Is rectangle QRST similar to rectangle Zaria’s dad wants to build a dining room
UVWX? Explain.
Table for the family that is similar to the
one in Zaria’s doll house. The doll house
Q
12 cm
R
table top measures 1 1/2 inches by
4 1/2 inches. If the length of the table
5 cm
needs to be 6 feet, how wide should the
table be?
T
U
S
18 cm
V
8 cm
X
W
GOAL 3 HOMEWORK
Quadrilateral EFGH is similar to
quadrilateral MNOP.
If a rectangular prism is sliced diagonally
from segment AB to segment GH,
Describe the results.
C
B
Compare the two similar triangles
below.
S
G
2 cm
C
3 cm
F
1 cm
10 in
E
D
F
12.9 in
H
5 cm
A
G
7 in
O
R
100o
T
100o 50o
B
E
H
D
What is the measure of segment CD?
N
What is the top view of a globe (sphere)
cut just below the north pole?
M
10 cm
P
What is the perimeter of MNOP?
What is the measure of Angle T? _______
A. 19 cm
What is the measure of Angle C? ______
B. 22 cm C. 25 cm D. 31 cm
If this cylinder is cut parallel to the base, If this cylinder is cut perpendicular to the
describe the cross-sectional view.
base, describe the cross-sectional view. What is the top view of a globe (sphere)
cut at the equator?
GOAL 4 CLASSROOM
A company kept track of how many
toys it made each day.
Daily Toy Production
7
Mr. Hamilton created a box-andwhisker plot from his students’ test
grades shown in the stem-and-leaf
plot.
8
89
9
1335
7
01449
10
0
8
1113688
9
023366
B.
•
Daily Toy Production
•
C.
•
Daily Toy Production
•
•
D.
Daily Toy Production
•
•
28
Which number is the lower quartile for
this data set?
6
Daily Toy Production
•
15, 24, 17, 19, 21, 38, 25, 39
Students’ Test Grades
9
11 3 7
Which box and whisker plot represents
The data in this stem-and-leaf plot?
A.
A team scored the following numbers
of points in its last eight games.
92oF, 89oF, 90oF, 78oF, 83oF, 90oF, 88oF
Students’ Test Grades
•
A. 31 B. 23 C. 18
D. 17
What is the approximate mean for this
set of temperatures?
•
Jessica was absent on the day the test
was given. When she took the test, her
grade was 51. How will Jessica’s
grade change the box-and-whisker plot
for the test grades?
A. The median will increase.
B. The range will decrease.
C. The Upper Quartile will increase.
D. The lower quartile will decrease.
A. 86.7oF
B. 87.1oF
C. 87.4oF
D. 88.7oF
Which statement is true about this set
of data?
15, 21, 12, 8, 25, 20, 18, 15, 11, 15
A. The range is 15.
B. The mean is 160
C. The median is 25.
D. The mode is 15.
GOAL 4 CLASSROOM
Hi-Keem surveyed the students at his
school to determine each student’s
favorite sport. He made a bar graph to
show the results.
Favorite Sport
The graph below shows the results of a
survey of 390 families.
80
160
Jordan’s Math
Grades
70
Number of Families
140
Number of students
Number of Children
Per Family
Jordan and Dajae’ are working together
on a math project and will receive the
same grade. Their individual grades
before the project are listed below.
120
100
80
60
Dajae’s Math
Grades
100
85
86
95
50
91
65
40
85
100
88
75
60
30
20
40
10
20
0
0
0
Soccer Volley- Basket- Other
ball
ball
Sport
What percent of the students selected
Soccer?
B. 30%
C. 40%
D. 60%
7
How many of the families in the survey
have more than three children?
A. 120
A. 20%
1 2 3 4
5
6
Number of Children
What grade could they receive that will
keep Jordan’s average the same, but
improve Dajae’s average by one point?
B. 130
C. 140
D 260
A. 83
B. 85
C. 87
D. 90
GOAL 4 CLASSROOM
Corey created a box-and –whisker plot
showing the miles he traveled on ten
trips.
Miles Traveled
•
•
Jake also created a box-and-whisker
plot of the miles he traveled on ten
trips. His data set has the same
median, but its interquartile range is 8.
Which statement must be true?
A. Corey’s plot must have a larger
box..
There were two teams for a math
challenge game. The Green Team had
these scores: 21, 21, 24, 24, and 25.
The Purple Team had these scores:
15, 18, 19, 19, 24. The winning team
was the team with the greatest
average. What team won and what was
the average of the scores of the
winning team.
Alex and Patrick are playing darts. The
winner will be the one with the highest
average score after 6 games. Alex has
completed 6 games and has an
average score of 190. So far, Patrick
has played 5 games and has an
average score of 183. What score does
Patrick need in his final game to have
the same average as Alex?
A. Green Team: 23
B. Green Team: 24
C. Purple Team: 25
A. 190 Points
B. 197 Points
B. Jake’s plot must have a larger box.
C. Corey’s plot must have a greater
range.
D. Jake’s plot must have a greater
range.
What number is the outlier for the
given data?
C. 225 Points
D. 270 Points
D. Purple Team: 21
Courtney collected canned goods at her school for 12 weeks to help a local charity.
This table shows the number of cans she collected each week.
Courtney’s Food Drive
Week
1 2 3 4 5 6 7 8 9 10 11 12
Number of
25 19 21 2 18 23 26 22 25 19 58 23
Cans Collected
Which weeks represent outliers for this set of data.?
A. Week 1 and Week 12
B. Week 2 and Week 10
C. Week 6 and Week12
D. Week 4 and Week 11
178, 216, 206, 380, 182, 164, 188, 196
A. 380 B. 216
C. 178
D. 164
GOAL 4 CLASSROOM
Use the box plots below to answer the following question. How does the
median skateboard cost compared to the median roller blade cost?
Prices of Roller Blades and Skateboards
(40 of each)
John received the following grades on
the first five tests of the grading
period: 84, 92, 84, 75, 70. What is the
minimum grade he needs to receive
on the next test in order to have a C
(84) average on his tests?
Roller Blades
Skateboards
What is the range of these six grades?
Use the box plots below to answer the following question. What percent of
skateboards cost $60 or more?
Prices of Roller Blades and Skateboards
(40 of each)
Roller Blades
Skateboards
If the Rahman Family make $800 a
week, how much do they spend on
meals?
GOAL 4 CLASSROOM
Use the box plots below to answer the following question. What percent of the
roller blades and skateboards cost $100 or more?
Prices of Roller Blades and Skateboards
(40 of each)
Roller Blades
Skateboards
The yearly salaries of the five top
executives at the Bigwig Corporation
are $1,000,000; $250,000; $130,000;
$90,000; and $90,000. If you calculate
the mean, median and mode for these
salaries and place these values in
order from highest to lowest, the
order would be:
A. Mean, median, mode
B. Mode, median, mean
Use the box plots below to answer the following question. What percent of the
rollerblades cost between $50 and $100?
C. Median, mean, mode
D. Mean, mode, median
Prices of Roller Blades and Skateboards
(40 of each)
Roller Blades
What is the range for this set of data?
15, 20, 11, 32, 25, 27, 29, 14, 16, 27
What is the mode for this set of data?
Skateboards
15, 20, 11, 32, 25, 27, 29, 14, 16, 27
GOAL 4 CLASSROOM
Farmer Brown raises pumpkins and
recorded the following weights (in
pounds) for the pumpkins he
harvested:
29, 15, 40, 32, 15, 250, 33, 15, 39,
25, 16, 19, 30, 28, 28, 30, 32, 33,
31,25, 29, 30, 10, 24
Calculate the mean, median, mode, and
range for the above weights.
A group of seventh grade students
took a test and these scores were
recorded:
Find the range.
22, 19, 27, 8, 19, and 19
Score Students
95
85
75
65
27
34
21
18
Find the mode.
22, 19, 27, 8, 19, and 19
Find the mean, median, mode and range
for this set of data.
What do you think will be the daily use
of petroleum in the U.S. in 2005?
Mean _________Median ________
Mode _________Range _________
Should Farmer Brown use the mean,
median, mode or range to accurately
describe his crop.
Why?
Identify the outlier. ________________
What effect does the outlier when used
have on each of the following?
Mean _________Median _______
Mean _________Median _______
Mode ________Range ________
Mode ________Range ________
GOAL 5 CLASSROOM
Which rule describes the ordered pairs
in this table?
x
y
1
1
2
3
What is the relationship between x and
Smith’s Video Store charged $2.40 for
y For the points on the line graphed
each video rented plus a $1.00
below?
surcharge. The store decided to lower
the surcharge to $0.50. Which equation
represents the new cost of renting m
videos?
A. P = 1.90m + 1.00
B. P = 1.90m + 0.50
3
5
4
7
C. P = 2.40m + 0.50
D. P = 2.40m + 1.50
A. y = 2x – 1
B. y = x/2 =2
C. x = 3y – 2
D. x = y-1
Simplify 6(a – 2b) + 3 (4a + b)
A. y = 2x
Which set contains only ordered pairs
that satisfy y = 2x + 3?
B. y = 2x + 2
A. (0, 2), (1, 3), (2,4)
C. y = 3x – 4
D. y = 4x -7
B. (0, 2), (1, 5), (2, 8)
A. 18a – 15b
C. (0,3), (1, 4), (2, 5)
B. 18a – 11b
D. (0, 3), (1, 5), (2, 7)
C. 18a – 9b
D. 18a – b
GOAL 5 CLASSROOM CONTINUED
For the animal shelter, Elsy purchased
five dog leashes for $9.98 each, five
bags of dog food for $24.99 each and
five dog crates for x dollars each.
Which equation could be used to
determine Elsy’s total cost, T?
A. 5 + $9.98 + 5 + $24.99 = T
In the summer, India earns $6.00 an
hour taking care of children. She
works from 8:00 a.m. until 11:00 a.m.
on Wednesday and Thursday and from
7:00 a.m. until 9:00 a.m. on Friday and
Saturday. Which number sentence can
be used to find the total amount of
money (m, in dollars) India earns per
week?
Tiymon is using the linear equation
x+y=2 to plot a line on graph paper. If
(x, -4) are the coordinates of a point on
the line, what is the value of x?
A. -4
B. -3
C. 5
D. 6
What is the solution for this inequality?
$9.98 + $24.99
B. ——————————— = T
5
A. (3 + 2) x 6 = m
C. ($9.98 + $24.99 + x) 5 = T
C. (6 + 3) x (6 + 2) = m
D. 5 + ($9.98 + $24.99 + x) = T
D. (8 + 11 + 7 + 9) x 6 = m
Chue walks at a rate of 1.5 meters per
second. Which equation can be used to
find how much time, t, in seconds it
will take Chue to walk 2.7 kilometers?
Melanie divided 5 dozen flowers into 3 C. w ≥ -5
D. w ≤ -5
baskets to give as presents. The first
basket had (x + 8) flowers, the second Which ordered pair, (x,y), makes the
basket had (2x) flowers and the third
equation y = x + 3 true?
basket had (x + 12) flowers. How many
flowers were in the basket that had the
most flowers?
A. 2.7 ÷ 1.5 = t
-3w + 3 ≥ 18
B. 6 x (3 + 3 + 2 + 2) = m
A. w ≥ -7
B. w ≤ -7
B. 1.5 x t = 2,700
C. 2,700 – 1.5 = t
D. 1.5 ÷ t = 2.7
A. 20
B. 22
C. 32
D. 40
A. (3, 0)
B. (4, 1)
C. (2, 5)
D. (6, 4)
GOAL 5 CLASSWORK (TWO)
A cylindrical can has a 7-in wide label
that wraps around the can. The can
has a radius of 3 in.
What is the approximate volume of a
cone with a radius of 6 inches and a
height of 9 inches? V = 1/3 πr2h
3 in
What is the
approximate area of
the label?
The local bookstore is having a oneday sale on all children’s books.
Brianna decides she will spend at least
$25.00 but no more than $40.00 on
books. If all sale books are priced at
$3.75, write an inequality that
expresses the number of books, b, that
she can purchase.
7 in
A. 33.0 square inches
B. 66.0 square inches
C. 131.9 square inches
A. 113.04 in3
B. 339.29 in3
C. 1,017.88 in3
D. 1,356.48 in3
The formula F = 1.8C + 32 can be used
to convert temperatures from degrees
Celsius (C) to degrees Fahrenheit (F).
What Fahrenheit temperature is
equivalent to -45 degrees Celsius?
Simplify:
-3xy + 10 • 2xy - 4 - 32xy ÷ (- 2)4
d. 197.9 square inches
The set of data represented in the table
below represents a linear function. Write
the equation for this function.
x
y
-4
-14
-1
-5
0
-2
2
4
5
13
A. -49oF
B. -43oF
C. 7.2oF
D. 113oF
Simplify:
6xy • 3 ÷ (-9) - 1
The formula F = n/4 + 37 can be used to
determine the temperature in degrees
Fahrenheit, F, when n is the number of
chirps per minute. If a cricket chirps 126
times per minute, determine the
temperature.
GOAL 5 CLASSWORK TWO CONTINUED
What are the degree measures of each
of the angles?
6xo
(4x+13)o
A
B
D
C
(2x-8)o
E
(x+9)o
If the perimeter of the triangle below
is 63 centimeters, what are the
lengths of the sides of the triangle?
(x + 5) cm
(x + 5) cm
David received a letter from a pen pal
who mentioned that the weather had
turned quite cold and the average low
temperature reading for the week was
-20o Celsius. Using the formula F =
9/5 C +32, find the equivalent
Fahrenheit reading.
(2x - 7) cm
(4x-1)o
Simplify:
8x - 12y - 15x + 3y
Angle A __________
Angle B __________
Angle C __________
Angle D __________
Angle E __________
Mr. Hamilton baked cookies for the fair.
He sold three-fifths of them to the
soccer team and one-fourth of the rest
to the cheerleaders. If he had 36
cookies left, how many did he bake?
Simplify:
10y ÷ 2 • (-6) + 4y
Chastity spent two-fifths of her salary
on a scarf and a hat. The hat costs 3
times as much as the scarf. If she has
$36.00 left, how much did the scarf
cost?
GOAL 5 CLASSWORK (THREE) CONTINUED
Find x.
Three-fifths of the books on a shelf are
mystery stories. The rest of the books
are science fiction. If 68 books are
science fiction, write an equation to
determine how many books are on the
shelf.
Quatisha, Ciara and Garicia shared
some peanuts in the ratio of 2:3:5. If
Ciara had 36 peanuts, write an
equation to determine how many
peanuts were shared.
How many peanuts did each girl get?
How many books are mystery books?
Quatisha _____________
Ciara ______________
Garicia ____________
The area of a rectangular garden plot
is 56 square yards. If the length of the
garden is seven yards, write an
equation to determine how many feet
of fencing will be needed to enclose
the garden.
The area of a rectangular garden plot
is 56 square yards. If the length of the
garden is seven yards, how many
feet of fencing are needed?
A bottle has a mass of 1.5 kg when it is
one-third full of syrup and a mass of
2.5 kg when it is two-thirds full of
syrup. What is the mass of the empty
bottle?
GOAL 5 CLASSWORK (THREE) CONTINUED
The Party Shoppe is advertising a
special sale on balloons. They have two
sizes available, 9-inch diameter and
12-inch diameter. Using the formula
for the volume of a sphere, V=4πr2,
determine the surface area of to each of
the balloons.
The Party Shoppe is advertising a
special sale on balloons. They have two
sizes available, 9-inch diameter and
12-inch diameter. How much larger is
the circumference of the 12-inch
balloon?
The Party Shoppe is advertising a
special sale on balloons. They have two
sizes available, 9-inch diameter and
12-inch diameter. Using the formula
for the volume of a sphere, V=4/3πr3,
determine the amount of helium needed
to fill each of the balloons.
Ms. Silawan is going to invest $700 in a
Certificate of Deposit (CD) at her bank for
5 years at an annual rate of 3 1/2%
compounded annually. What will be the
value, A, at the end of the 5 year period?
Use the formula A=p(1+r)t where A is
the final amount (value), p is the
initial amount invested, r is the annual
interest rate, and t is the time in years.
Ms. Silawan is going to invest $700 in a Ms. Silawan is going to invest $700 in a
Certificate of Deposit (CD) at her bank for Certificate of Deposit (CD) at her bank for
5 years at an annual rate of 3 1/2%
5 years at an annual rate of 3 1/2%
simple interest. How much interest
simple interest. How much money
will she earn at the end of the 5 year
will she have at the end of the 5 year
period?
period?
GOAL 5 HOMEWORK
Fill in the missing numbers for the linear
relations and give the equation that
identifies the relation. Make a graph of
the equation.
Fill in the missing numbers for the linear
relations and give the equation that
identifies the relation. Make a graph of
the equation.
Consider the “stairstep” diagrams
below. Find the perimeter for each
figure.
Perimeter
X
1
2
3
4
Y
3
6
9
12
5
6
C
1
2
3
4
D
-1
3
7
11
5
6
________________
Perimeter
________________
EQUATION: _____________________
EQUATION: _____________________
Perimeter
________________
Perimeter
____________
Graph 1st two only.
Graph 1st two only.
GOAL 5 HOMEWORK CONTINUED
The selling price of a car, $18,560, was
determined by calculating an 8%
markup from the dealer’s cost. Write
the algebraic equations (proportion)
that describes the situation.
Find x.
Find x.
What did the dealer pay for the car?
The local bookstore is having a oneday sale on all children’s books.
Gloria decides she will spend at least
$25.00 but no more than $40.00 on
books. If all sale books are priced
at $3.75, write an inequality that
Expresses the number of books, b,
that she can purchase.
Bianca has a cell-phone and the monthlyBianca has a cell-phone and the monthly
plan she has charges $39.99 for the first plan she has charges $39.99 for the first
400 minutes and $0.42 for each
400 minutes and $0.42 for each
additional minute. Her bill last month
additional minute. Her bill last month
was $93.33 before taxes and surcharges was $93.33 before taxes and surcharges
were added. Write an equation that can were added. Solve the equation.
be used to calculate the number of
minutes, m, that she used the cell phone
last month.
EOG (ALL GOALS) REVIEW 1
A model of Glaswick Park was drawn
Triangle ABC is similar to Triangle DEF.
park was drawn for the town council to side AB is 12 ft long
consider.
side BC is 8 ft long
2
feet
m‫ﮮ‬B is 50o
A
B
side DF is 130 ft long
side DE is 180 ft long
2 feet
m‫ﮮ‬F is 70o
4 feet
Find the measures of
C
D
3 feet
‫ﮮ‬A _________ ‫ﮮ‬C________ ‫ﮮ‬D_______
If the park’s longest side is 360 yards
long, and the model is a scale drawing ‫ﮮ‬E _________ side AC _________
D
of the actual park, what are the
side
EF
_______________
dimensions of the other sides?
A
AD ___________ AB ____________
180
130
BC ___________ CD _____________
12
70o
F
Your social studies teacher has asked
o
50
you to draw a map of North Carolina.
C E
8
B
You decide that the scale you will use
is 1 inch = 30 miles. The actual
In the phrase “number sense”,
distance from Charlotte to Raleigh
is 144 miles. How far apart should the what is the ratio of vowels to
consonants?
cities be on a map?
A quadrilateral, LMNO, has two
congruent angles, a third angle that
measures 44o and the fourth angle
that measures 120o. Write an
equation that can be used to find the
measures of the missing angles.
What is the measurements of the
missing angles?
The dimensions of an aquarium in a
local restaurant are 3.5 feet by 2.5 feet
by 2 feet. How many cubic inches of
water does the aquarium hold?
In the phrase “number sense”,
what is the ratio of consonants to
vowels?
EOG (ALL GOALS) REVIEW 1
Karlee purchased a box of crackers
from the deli. The box is in the shape
of a triangular prism. If the volume of
the box is 3240 cubic centimeters,
what is the height of the triangular
prism?
Karlee purchased a box of crackers
from the deli. The box is in the shape
of a triangular prism. If the volume of
the box is 3240 cubic centimeters, and
you have determine the height, how
much packaging material was used to
construct the cracker box?
When Jordyn designed her dream
house, she used a scale of 1/4 inch = 2
feet. She plans to purchase carpet for
the actual living room with dimension
1 1/4 inches by 1 1/2 inches in her
model. The carpet sells for $5.95 per
square foot. How much will it cost
Jordyn to carpet her living room.
15 cm
15 cm
15 cm
15 cm
30 cm
30 cm
18 cm
18 cm
What is the percent of decrease from
80 to 50?
What is the percent of increase from
50 to 80?
At the Wholesale Club a family bought a
package of 14 individual pan pizzas for
$29.96. Brandon, the oldest child, ate
3 pizzas. Mom, Dad, Kayla, Jordan, and
Jennifer ate two pizzas and Bradley ate
one pizza. How much does it cost to
feed Brandon and Bradley?
EOG (ALL GOALS) REVIEW 2
Carlos and Jaquan are building scale
models of different vehicles for a class
project. They just completed a 4 inch
long model of a car that is 15 feet in
length. If they use the same scale,
what will be the length of a scale
model of a truck that is 31.5 feet long?
A calculator sells for $9.99 in a certain
state. The purchase price including
tax is $10.69. To the nearest whole
percent, what is the sales tax in the
state?
A set of coins has a value of $2.75.
There are twice as many dimes as
nickels, no pennies and four quarters.
Write an equation to determine how
many cons there are in all.
How many are there?
Nickels __________
Ms. Ollis’ chorus has 36 members. If
the ratio of girls to boys is 4:5, how
many girls are in the chorus?
Ms. Ollis’ chorus has 36 members. If
the ratio of girls to boys is 4:5, what
percent of the chorus is boys?
One out of every three M&MsTM is red.
If a bag contains approximately
65 M&MsTM, how many would you
expect to be red?
Kivana is mixing punch for 18 people.
Her recipe which calls for 2 1/2 cups of
sugar, serves 12. How much sugar
will she use if she adjusts the recipe to
serve 18?
Dimes ___________
Quarters _________
The speed limit along a particular
highway increased from 55 mph to
65 mph. How much time will be saved
on a 100 mile trip?
EOG (ALL GOALS) REVIEW 2
An advertising agent for a shoe
company placed ads in several
newspapers throughout the state.
Each newspaper charges $18 per
column inch. The ads were 4 1/2
column inches, 3 3/4 column inches,
3 1/2 column inches, 2 1/4 column
inches, and 4 column inches. What is
the total cost of these ads?
Hunter and Taylor each purchased a
pair of shoes during the annual sale at
the Shoe Factory. All shoes were
priced at 40% off the original price. If
Hunter paid $35 for his shoes, what
was the original price?
What is the percent of decrease from
40 to 20?
What is the percent of increase from
120 to 180?
A cabinet 30 inches high must have a
4-inch tick base and 1 1/2 – inch thick
top. Four equal sized drawers must fit
in the remaining space with 3/4 inch
between each drawer. What is the
height of each drawer?
Hunter and Taylor each purchased a
pair of shoes during the annual sale at
the Shoe Factory. All shoes were
priced at 40% off the original price. If
Taylor paid $79 for her shoes, what
was the original price?
84 is what percent of 336?
17 is what % of 85?
Integer Review
Mt. Everest, the highest elevation in
Asia, is 29,028 feet above sea level.
The Dead Sea, the lowest elevation, is
1,312 feet below sea level. What is the
difference between these two
elevations?
In Buffalo, New York, the temperature
was -14°F in the morning. If the
temperature dropped 7°F, what is the
temperature now?
3. A submarine was situated 800 feet
below sea level. If it ascends 250 feet,
what is its new position?
Jennifer owes the candy store $35.
Each of 5 friends will help her pay off
her debt. How much will each friend
pay?
Roman Civilization began in 509 B.C.
and ended in 476 A.D. How long did
Roman Civilization last?
A submarine was situated 450 feet
below sea level. If it descends 300
feet, what is its new position?
In the Sahara Desert one day it was
136°F. In the Gobi Desert a
temperature of -50°F was recorded.
What is the difference between these
two temperatures?
The Punic Wars began in 264 B.C. and
ended in 146 B.C. How long did the
Punic Wars last?
Metal mercury at room temperature is
a liquid. Its melting point is -39°C. The
freezing point of alcohol is -114°C.
How much warmer is the melting
point of mercury than the freezing
point of alcohol?
Integer Review Classwork/Homework
Integer Review Classwork/Homework
FRACTION/DECIMAL REVIEW
52.8 ÷ 5.5
7 + 11.92873
Write into Scientific Notation
762,000
Write in Standard Form
7 x 0.38
30.84 + 6.2
4.6 x 109
Write into Scientific Notation
72,000,000
1.02 x 6.0004
22 + 21.2
Write into Standard Form
8 x 105
25.5 + 17
Write into Scientific Notation
14.9 - 11
40,000
14.4 ÷ 3.2
Write into Standard Form
3.16 x 104
FRACTION/DECIMAL REVIEW
Although playing chess doesn't
Intrigue Benjamin, he agreed to
play a few games with Anthony.
Anthony has a real knack for the
game and easily defeated
Benjamin every time they played.
The first game lasted two-fifths
of an hour. The second game
took two-fifths of an hour and
the third game was over in one
and a half hours. How long did it
take Anthony to defeat Benjamin
all three times?
The clasp on Jessika's purse was
broken. She decided to go downtown to have it repaired. She told
her mother that she would be back
in three and a half hours. As she
began her descent of the stairs
she looked at her watch. It was
11:48 a.m. What time should she
be back at home?