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GOAL 4 CLASSWORK/HOMEWORK

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Title: GOAL 4 CLASSWORK/HOMEWORK


1
GOAL 4 CLASSWORK/HOMEWORK
What is the central angle for clothing? How many teams had a score of 50 or above? What is the interquartile range for the box-and-whisker plot? What is the range of the data? Which set has a greater median? 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 median for the set of data?
2
GOAL 2 CLASSWORK/HOMEWORK

3
GOAL 1 CLASSROOM
In a group of 20 students, there are 11 girls. What is the ratio of boys to girls. A. 911 B. 920 C. 119 D. 1120 The manufactures 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. 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? A. 17 Gallons B. 18 Gallons C. 29 Gallons D. 30 Gallons A citys 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. Which statement is true? A. S R gt 0 B. S R gt 0 C. S R lt 0 D. S R lt 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. 6 inches B. 6 2/3 inches C. 10 Inches D. 13 1/3 inches 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. 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 1.5 C. 75 T
325 75 B. 1.5
T
75 1.5 D. 325
T
4
GOAL 1 CLASSROOM CONTINUED
Chris is making pancakes. The recipe makes four servings. 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 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 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? 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?
PANCAKE RECIPE 4 SERVINGS 3/4 cups flour 1/2 cup
milk 1 egg 1 tablespoon oil
5
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? What is the percent of decrease on the pair of jeans that Bianca bought. Calculate the percent of decrease for one pair of Nancys jeans using 59.00 as the original price. What is the average percent of decrease? Mr. Hamilton and Ms. Loh gave the same test to the 7th grade math classes. In Mr. Hamiltons class, 20 out of 25 students passed the test, and in Ms. Lohs class, 24 out of 30 passed the test. What percentage passed in Mr. Hamiltons class? What percentage passed in Ms. Lohs 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? 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? 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.
6
GOAL 1 HOMEWORK CONTINUED
Caitlyns 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? 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? 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? 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? 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)? Yards _________Feet _________ 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? 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 246. Give the friends performance in ascending (lowest to highest) order. 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?
7
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. Snowboard __________________ Sled ____________________ Skis ____________________________ 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. 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? The numbers 0, 1, -1, A, B, C, D are located on the number line below For each of the following, insert the symbol lt,gt, or to make a true statement. 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 two-thirds 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?
8
GOAL 2 CLASSROOM
Lot 21 is a trapezoid with the two
bases perpendicular to the road. The
scale drawing below uses the scale 1/2 inch 40
feet.
A rectangular piece of land will be divided
diagonally into two congruent triangular
sections. One section will be covered with
grass and the other section will be paved. The
blueprint measurements for the piece of land
are 5 inches wide by 12 inches long. The
blueprint scale is 1/4 inch 10 feet. How much
area will be paved? A. 2,400 ft2
B. 9,600 ft2 C. 48,000 ft2 D.
96,000 ft2

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. A. 16.2 km B. 8.4
km C. 2.4 km D. 1.8km
What is the approximate area of Lot 21?
A 1/2 h (b1 b2) (1 acre 43,560
Square Feet)
Aries has a cube that measures 7 cm on each edge.
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? A.
5.0 in B. 3.6 in c. 1.3 in D.
0.3 in
What is the surface area of the cube?
A. 1/2 acre B. 2 acres C. 2 1/2
acres D. 3 acres
What is the approximate volume of a cylinder with
a radius of 4 feet and a height of 15
feet? A. 189 ft3 B. 377
ft3 C. 754 ft3 D. 1,508 ft3
A. 343 cm2 B. 294 cm2 C. 49
cm2 D. 21 cm2
9
GOAL 2 CLASSROOM CONTINUED
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? A. 375 L.
B. 3,750 L C. 375,000 L D.
3,750,000 L
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.
How much sand does Snake need? A. 60 ft3
B. 66 ft3 C. 72 ft3
D. 84 ft3
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.
Ronnisha covered a box with sticky- backed
decorating paper. The paper costs 3 per square
inch. How much money will Ronnisha need to
spend on paper?
A can of cola drink has a diameter of 65 mm and
a height of 15 cm. Compute the surface Area!
A can of cola drink has a diameter of 65 mm and
a height of 15 cm. Compute the volume!
10
GOAL 3 CLASSROOM
What is the least number of cubes Needed to form a three-dimensional Figure with the given left side, front and top views?
How would this block model look from the top?
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 B. Square
pyramid C. Triangular prism D. Triangular
pyramid
A.
B.
A. 4 B. 6 C. 7 D. 10
Which plane figures are similar?
?STU ?XYZ. Which statement must be true? A.
The measure of STU is half the measure of
XYZ.
C.
D.
B. The measure of STU is equal 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
C. The measure of STU is double the measure
of XYZ.
D. The measure of STU is complementary to
the measure of XYZ.
11
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. The two polygons are similar.
?RST is an isosceles triangle with RS RT.

L
13.5
RIVER
What is the value of x? A. 12m B. 13m C.
18m D. 27m
M
N
4.5
If ?RST is similar to ?LMN, what is the value of
x? A. 2 B. 3 C. 4 D. 5
In the figure below, GH is parallel to JK, so the
two triangles are similar.
What is the value of x? A. 4.0 B. 5.3 C.
9.0 D. 10.2
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. 5
1/4 B. 7 1/2 C. 7 3/4 D. 8 1/8
Which angle has the same measure as angle N? A.
?LKT B. ?NLM C. ?NML D. ?LTK
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
12
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?
Is triangle LMN similar to triangle PQR? Explain.
If a cone is cut perpendicular to its base, what
do the cross-sections look like?
l
Is rectangle QRST similar to rectangle UVWX?
Explain.
Zarias dad wants to build a dining room Table
for the family that is similar to the one in
Zarias doll house. The doll house table top
measures 1 1/2 inches by 4 1/2 inches. If the
length of the table needs to be 6 feet, how
wide should the table be?
If this hemisphere is sliced perpendicular to
line l, what do the cross-sections look like?
13
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.
Compare the two similar triangles below.
What is the measure of segment CD?
What is the top view of a globe (sphere) cut
just below the north pole?
What is the measure of Angle T? _______ What is
the measure of Angle C? ______
What is the perimeter of MNOP? A. 19 cm B.
22 cm C. 25 cm D. 31 cm
If this cylinder is cut parallel to the base,
describe the cross-sectional view.
If this cylinder is cut perpendicular to the
base, describe the cross-sectional view.
What is the top view of a globe (sphere) cut at
the equator?
14
GOAL 4 CLASSROOM
A company kept track of how many toys it made each day. Which box and whisker plot represents The data in this stem-and-leaf plot? Mr. Hamilton created a box-and-whisker plot from his students test grades shown in the stem-and-leaf plot. Jessica was absent on the day the test was given. When she took the test, her grade was 51. How will Jessicas 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 team scored the following numbers of points in its last eight games. 15, 24, 17, 19, 21, 38, 25, 39 Which number is the lower quartile for this data set? A. 31 B. 23 C. 18 D. 17 What is the approximate mean for this set of temperatures? 92oF, 89oF, 90oF, 78oF, 83oF, 90oF, 88oF 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.
15
GOAL 4 CLASSROOM
Hi-Keem surveyed the students at his school to determine each students favorite sport. He made a bar graph to show the results. What percent of the students selected Soccer? A. 20 B. 30 C. 40 D. 60 The graph below shows the results of a survey of 390 families. How many of the families in the survey have more than three children? A. 120 B. 130 C. 140 D 260 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. What grade could they receive that will keep Jordans average the same, but improve Dajaes average by one point? A. 83 B. 85 C. 87 D. 90
16
GOAL 4 CLASSROOM
Corey created a box-and whisker plot showing the miles he traveled on ten trips. 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. Coreys plot must have a larger box.. B. Jakes plot must have a larger box. C. Coreys plot must have a greater range. D. Jakes plot must have a greater range. What number is the outlier for the given data? 178, 216, 206, 380, 182, 164, 188, 196 A. 380 B. 216 C. 178 D. 164 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. A. Green Team 23 B. Green Team 24 C. Purple Team 25 D. Purple Team 21 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. 190 Points B. 197 Points C. 225 Points D. 270 Points
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.
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
17
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? Use the box plots below to answer the following question. What percent of skateboards cost 60 or more? 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? What is the range of these six grades? If the Rahman Family make 800 a week, how much do they spend on meals?
Roller Blades
Skateboards
Roller Blades
Skateboards
18
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? Use the box plots below to answer the following question. What percent of the rollerblades cost between 50 and 100? 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 C. Median, mean, mode D. Mean, mode, median 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? 15, 20, 11, 32, 25, 27, 29, 14, 16, 27
Roller Blades
Skateboards
Roller Blades
Skateboards
19
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. 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 _______ Mode ________Range ________ A group of seventh grade students took a test and these scores were recorded Find the range. 22, 19, 27, 8, 19, and 19 Find the mode. 22, 19, 27, 8, 19, and 19 What do you think will be the daily use of petroleum in the U.S. in 2005?
Find the mean, median, mode and range for this
set of data.
Mean _________Median _______ Mode ________Range
________
20
GOAL 5 CLASSROOM
What is the relationship between x and y For the points on the line graphed below?
Which rule describes the ordered pairs in this
table?
Smiths Video Store charged 2.40 for each video
rented plus a 1.00 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 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. 18a
15b B. 18a 11b C. 18a 9b D. 18a b
A. y 2x B. y 2x 2 C. y 3x 4 D. y
4x -7
Which set contains only ordered pairs that
satisfy y 2x 3? A. (0, 2), (1, 3),
(2,4) B. (0, 2), (1, 5), (2, 8) C. (0,3), (1,
4), (2, 5) D. (0, 3), (1, 5), (2, 7)
21
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 Elsys total cost, T? A. 5 9.98 5 24.99 T 9.98 24.99 B. T 5 C. (9.98 24.99 x) 5 T D. 5 (9.98 24.99 x) T In the summer, India earns 6.00 an hour taking care of children. She works from 800 a.m. until 1100 a.m. on Wednesday and Thursday and from 700 a.m. until 900 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? A. (3 2) x 6 m B. 6 x (3 3 2 2) m C. (6 3) x (6 2) m D. (8 11 7 9) x 6 m Tiymon is using the linear equation xy2 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?
-3w 3 18 A. w -7
B. w -7 C. w -5 D. w -5
Melanie divided 5 dozen flowers into 3 baskets to
give as presents. The first basket had (x 8)
flowers, the second basket had (2x) flowers and
the third basket had (x 12) flowers. How
many flowers were in the basket that had the
most flowers? A. 20 B. 22
C. 32 D. 40
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? A. 2.7 1.5 t B. 1.5 x t
2,700 C. 2,700 1.5 t D. 1.5 t 2.7
Which ordered pair, (x,y), makes the equation y
x 3 true? A. (3, 0)
B. (4, 1) C. (2, 5) D. (6, 4)
22
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 pr2h A. 113.04 in3 B. 339.29 in3 C. 1,017.88 in3 D. 1,356.48 in3 The local bookstore is having a one-day sale on all childrens 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.
What is the approximate area of the label?
A. 33.0 square inches B. 66.0 square
inches C. 131.9 square inches d. 197.9 square
inches
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? A. -49oF
B. -43oF C. 7.2oF
D. 113oF
Simplify -3xy 10 2xy - 4 - 32xy (- 2)4
The set of data represented in the table below
represents a linear function. Write the
equation for this function.
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.
x y
-4 -14
-1 -5
0 -2
2 4
5 13
Simplify 6xy 3 (-9) - 1
23
GOAL 5 CLASSWORK TWO CONTINUED
What are the degree measures of each of the angles? If the perimeter of the triangle below is 63 centimeters, what are the lengths of the sides of the triangle? 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.
Simplify 8x - 12y - 15x 3y
Simplify 10y 2 (-6) 4y
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?
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?
Angle A __________ Angle B __________ Angle C
__________ Angle D __________ Angle E
__________
24
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. How many books are mystery books? Quatisha, Ciara and Garicia shared some peanuts in the ratio of 235. If Ciara had 36 peanuts, write an equation to determine how many peanuts were shared. How many peanuts did each girl get? Quatisha _____________ Ciara ______________ Garicia ____________
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?
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?
25
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,
V4pr2, 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,
V4/3pr3, 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 simple
interest. How much interest will she earn at
the end of the 5 year period?
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 simple
interest. How much money will she have at the
end of the 5 year period?
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 Ap(1r)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.
26
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 ________________
Perimeter ________________
EQUATION _____________________
EQUATION _____________________
Perimeter ________________
Perimeter ____________
Graph 1st two only.
Graph 1st two only.
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GOAL 5 HOMEWORK CONTINUED
The selling price of a car, 18,560, was determined by calculating an 8 markup from the dealers cost. Write the algebraic equations (proportion) that describes the situation. What did the dealer pay for the car? Find x.
Find x.
The local bookstore is having a one- day sale on
all childrens 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 monthly plan she
has charges 39.99 for the first 400 minutes and
0.42 for each additional minute. Her bill last
month was 93.33 before taxes and surcharges were
added. Write an equation that can be used to
calculate the number of minutes, m, that she
used the cell phone last month.
Bianca has a cell-phone and the monthly plan she
has charges 39.99 for the first 400 minutes and
0.42 for each additional minute. Her bill last
month was 93.33 before taxes and surcharges were
added. Solve the equation.
28
EOG (ALL GOALS) REVIEW 1
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?
A model of Glaswick Park was drawn park was
drawn for the town council to consider.
Triangle ABC is similar to Triangle DEF. side
AB is 12 ft long side BC is 8 ft long m?B
is 50o side DF is 130 ft long side DE is
180 ft long m?F is 70o Find the measures
of ?A _________ ?C________ ?D_______ ?E
_________ side AC _________ side EF
_______________
If the parks longest side is 360 yards long, and
the model is a scale drawing of the actual park,
what are the dimensions of the other sides? AD
___________ AB ____________ BC ___________
CD _____________
Your social studies teacher has asked you to
draw a map of North Carolina. You decide that
the scale you will use is 1 inch 30 miles.
The actual distance from Charlotte to Raleigh
is 144 miles. How far apart should the cities
be on a map?
In the phrase number sense, what is the ratio
of consonants to vowels?
In the phrase number sense, what is the ratio
of vowels to consonants?
29
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.
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?
What is the percent of decrease from 80 to 50?
What is the percent of increase from 50 to 80?
30
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? Ms. Ollis chorus has 36 members. If the ratio of girls to boys is 45, how many girls are in the chorus? Ms. Ollis chorus has 36 members. If the ratio of girls to boys is 45, what percent of the chorus is boys? 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 __________ Dimes ___________ Quarters _________
One out of every three MMsTM is red. If a bag
contains approximately 65 MMsTM, how many would
you expect to be red?
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?
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?
31
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? 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 Hunter paid 35 for his shoes, what was the original price? 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? 17 is what of 85? What is the percent of decrease from 40 to 20? What is the percent of increase from 120 to 180? 84 is what percent of 336?
32
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 -14F in the morning. If the temperature dropped 7F, 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 136F. In the Gobi Desert a temperature of -50F 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 -39C. The freezing point of alcohol is -114C. How much warmer is the melting point of mercury than the freezing point of alcohol?
33
Integer Review Classwork/Homework

34
Integer Review Classwork/Homework

35
FRACTION/DECIMAL REVIEW
52.8    5.5 7  x  0.38 1.02  x  6.0004 14.9  -  11 7    11.92873 30.84    6.2 22    21.2 25.5    17 14.4    3.2 Write into Scientific Notation 762,000 Write in Standard Form 4.6 x 109 Write into Scientific Notation 72,000,000 Write into Standard Form 8 x 105 Write into Scientific Notation 40,000 Write into Standard Form 3.16 x 104
36
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 down- town 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
1148 a.m. What time should she be back at
home?
37
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