NAME _______________________________________________________ PERIOD ______________________________

AREA AND CIRCUMFERENCE OF CIRCLES

Diameter Radius Circumference Area Center Pi

Circles C = ________ or ________ A= _________ or _________

Find area and circumference of

figure.

Find area and circumference of figure.

Find area and circumference of figure.

A = ___________ C = ___________

A = ___________ C = ___________

A = ___________ C = ___________

Find area and circumference of figure.

A = ___________ C = ___________

Find area and circumference of figure.

A = ___________ C = ___________

Find area and circumference of figure.

A = ___________ C = ___________

Jimmy’s dog, Barky was on a leash that anchored in the ground. If the leash was 9 feet long, how much space did Barky have to play in? Round your answer to the nearest tenth?

In England, many crop circles appear in the fields mysteriously. Some circles have a diameter of 150 meters. What is the distance around such a circle? A 70,650 m

Martha has a round swimming pool in her backyard. The distance from one side of the pool to the other side is 14 feet. To protect the pool in winter, Martha wants to buy a pool cover. About how many

A 28.3 sq ft B 88.7 sq ft C 254.3 sq ft D 35.6 sq ft

B 70,650 sq m C 471 sq m D 471 m

square feet should the pool cover be? A 615 sq ft B 154 sq ft C 79 sq ft D 22 sq ft

Mrs. Thompson has a piece of lace that is 4.2 meters long. She wants to use it as the border for a circular tablecloth. What is the approximate diameter of the tablecloth? (use 휋 ≈ 3) A 1.1 m B 1.4 m C 1.9 m D. 3.0 m

Mrs. Martin’s garden is shaped like a semi-circle. If the diameter is 8 ft. About how many square feet is Mrs. Martin’s garden? (use 휋 ≈ 3.14)

A 100 sq ft B 50 sq ft C 25 sq ft D 5 sq ft

Clay jogged around a circular track with a radius of 70 meters. If clay made 2 laps around the track, about how far did he run? (use 휋 ≈ 3.14) A 880 m B 640 m C 440 m D 280 m

Find area and circumference of figure.

A = ___________ C = ___________

Find area and circumference of figure.

A = ___________ C = ___________

Find area and circumference of figure.

A = ___________ C = ___________

NAME ______________________________________________________ PERIOD _______________________________

AREA AND PERIMETER OF TRIANGLES AND QUADRILATERALS

(write the formula and find the area and perimeter of each shape)

Squares P = _________ or

_________ A= _________ or

_________

Rectangles P = _________ or

_________ A= _________ or

_________

Parallelograms P = _________ or

_________ A= _________ or

_________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

Triangles P = ____________________ A= _________ or _________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

Trapezoids P = ____________________ A= _________ or _________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

INDEPENDENT PRACTICE

(write the formula and find the area and perimeter of each shape)

A = ___________ p =

___________

A = ___________ p =

___________

A = ___________ p =

___________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

A = ___________ p = ___________

NAME __________________________________________________ DATE _____________________________________

SUPPLEMENTARY AND COMPLEMENTARY ANGLES

Complementary angles: ____ angles with the sum of _____ degrees. Complementary angles make a ______ angle, but they do not have to be together (look at Example C). Example A:

Example B:

Supplementary angles: ____ angles with the sum of _____ degrees. Supplementary angles make a ______ angle, but they do not have to be together (look at Example D). Example C:

Example D:

Way to remember complementary angles:

Way to remember supplementary angles:

C

C can turn into a 9..helps to remember 90 degrees!!!

S S can turn into a 8..helps to remember 180 degrees!!!

The measure of angle J is 30.5 degrees. What is the measure of its supplement? A 59.5 degrees B 69.5 degrees C 149. 5 degrees D 169.5 degrees

The measure of angle M is 53 degrees. What is the measure of its complement? A 37 degrees B 47 degrees C 127 degrees D 137 degrees

How many degrees are in an angle If an angle measures 58 degrees, which

that is complementary to a 72 degree angle?

angle would be its complement?

Which of the following is a supplement of a right angle? A an acute angle B an obtuse angle C a right angle D a straight angle

Which of the following is a complement of an acute angle? A an acute angle B an obtuse angle C a right angle D a straight angle

Which of the following is a supplement of an acute angle? A an acute angle B an obtuse angle C a right angle D a straight angle

Which of the following is a supplement of an obtuse angle? A an acute angle B an obtuse angle C a right angle D a straight angle

One of the two supplementary angles is 5 times the size of the other. One of the angles is 150 degrees. What is the measure of the other angle? A 35 degrees B 30 degrees C 90 degrees D 180 degrees

The smaller of two complementary angles is 50 degrees less than the larger angle. The larger angle is 70 degrees, what is the measure of the smaller angle? A 20 degrees B 90 degrees C 115 degrees D 180 degrees

Of the 273 students in a school, 95 volunteered to work the book sale. About what percent of the students did not volunteer?

55% 65% 70% 75%

Mary pays $ 3.50 for her breakfast and $ 1.50 for a glass of orange juice. If she pays 6 % Tax sale. How much did she pay in Tax?

30 cents 70 cents 5.30 Not here

A customer at a restaurant leaves a tip of $ 2.70 This amount is 15 % of the total bill. What was the total bill of the meal?

80% 20% 35% Not here

Mary pays $ 3.50 for her breakfast and $ 1.50 for a glass of orange juice. If she pays 6% tax sale. How much did she pay for her breakfast after tax?

A Machinist used a caliper to find a diameter. The length was 0.375. What is another way to express the length?

3/32 1/8

3/16 3/8

The sizes of 4 drill bits are

3/32 in; 1/8 inch; 1/16 inch and ¼ inch. Order from greatest to least.

Tim is training for a marathon. He ran 26 ¼ miles in 5 days. If He ran the same distance each day, how far did He run per day?

1. 5 ¼ miles 2. 5 2/5 miles 3. 5 3/8 miles 4. Not here

PROPORTIONS It takes Mr. Adams ¾ of an hour to drive 45 miles. If he is driving 135 miles, how long will it take him

PROPORTIONS Kelly buys ½ pound of coffee for $3.50 at Sack Saver’s Grocery Store. She later goes back and

to get there? A 1 ½ hours B 2 ½ hours C 2 ¼ hours D 1 ¼ hours

buys 1 ¼ pounds of coffee. How much did she pay the second time? A $8.75 B $10.50 C $7.88 D $8.50

PROPORTIONS The regular price of a portable DVD player is $150. What is the cost of the DVD player if it is marked 25% off? A $37.50 B $75.00 C $112.50 D $187.50

PROPORTIONS Jackie bought a coat for $48. This amount was 60% of the regular price of the jacket. What did the coat regularly sell for? A $160.00 B $80.00 C $28.80 D $27.12

PROPORTIONS At a recent school dance the ratio of girls to boys was 3:2. If there are 120 girls at the dance, how many boys were at the dance? A 40 boys B 60 boys C 80 boys D 180 boys

In band, 2 out of 5 girls play the flute. If there are 75 girls in the band, which of these proportions could be used to find x, the number of girls who play the flute? A 2/5 = 75/x B 5/2 = x/75 C 2/5 = x 75 D 2/x = 5/75

PROPORTIONS Linda and her friends decided to combine the Skittles in their bags that contained 63, 73, 65, and 74 Skittles. The combined amount contained 15% red, 36% yellow, 22% purple, and 27% green Skittles. Which proportion can be used to find r, the total number of red Skittles?

CENTRAL TENDENCY A local high school decided to survey students in order to select a prom theme. Which statistical measure best represents the collected data? A mean B median C mode D range

CENTRAL TENDENCY Five basketball players try to make as many points as possible in each game. They have a mean of 12 points per game. If the first four players score 8,16,18 and 10 points each, how many points must the fifth player have made? A 20 B 8 C 12 D 10

In the past seven years, the high school has had the following number of students vote for student elections: 175, 164, 41, 181, 190, 168, 171 Which of the following statistical measures best summarizes and compare the number of students who have voted in student elections? A mean

B median C mode D range

NAME _________________________________________________________ DATE ___________________________

CENTRAL TENDENCY

1)When Joseph’s height is added to this data set, the mean height will bee 66 inches. What is Joseph’s height?

Name Height (inches) Neda 70 Marisol 62 Jamal 67 Joseph ??

a)64 inches b)66 inches c)65 inches d)67 inches

Show Work Here. Use answer choices: Use equation:

2)Alma wants to make an A average in Math class. If she already has an 88, 75, 96, and 95. What does she need to make on her next assignment in order to make an A (90 or above) a)94 b)90 c)88 d)96

Show Work Here. Use answer choices: Use equation:

3)Mary Jo wants to make at least an average grade of an 80 on her report card for Science class. She already made an 89,87,94,and 73 on her last report cards. What is the lowest grade she can make on this six weeks report card in order to keep an 80 average?

Show Work Here. Use equation:

a)57 b)85 c)76 d)81

4)The Greiner basketball team wants to make an average 60 points per game. So far they scored 54 points, 70 points, 13 points, and 85 points in their first 4 games. What do they need to make in this next game to get an average of 60 points per game?

Show Work Here. Use equation:

5)If Maggie always makes A’s on her homework assignments, but then one day her dog “really” eats half of her homework! If she makes a 98, 100, 100, 100, 99, 100, 99, 97 on all eight of the homeworks she turned in and a 50 on the one her dog ate. What does she need to make on the 10th homework assignment in order to keep her 90 average?

Show Work Here. Use equation:

6)Loralei wants a typing speed of 60 words per minute. She has taken three tests so far. Her computer teacher said she will average her first four typing tests before determining Loralei’s final typing speed. Her first three tests were 50 wpm, 68, wpm, and 70 wpm. What does Loralei need to make on this final typing test in order to get her average of 60 wpm?

Show Work Here. Use equation:

7)Mr. Pinilla wants all his classes to make an average of 85 or higher on their TAKS test. His first four periods had averages of 90, 80, 85, 93. What does his last class have to average in order to make his goal of 85?

Show Work Here. Use equation:

8)The Perez family must drive an average of 250 miles per day to complete their vacation time. On the first five days, they travel 220 miles, 300 miles, 210 miles, 275 miles and 240 miles. How many miles must they travel on the sixth day in order to finish their vacation time?

Show Work Here. Use equation:

NAME_______________________________________________ DATE _________________________________________

PERIMETER AND AREA

(Draw a picture of shape, label the dimensions and measurements, and use the correct formula/equation to solve questions)

The width of a rectangle is 28 m, and the perimeter is 196 m. What is the length? Now that you found the length, what is the area of

The length of a rectangle is 4 yd more than 3 times the width. The perimeter is 32 yd. What is the length and the width? Now that you found the length and width, what is

the rectangle?

the area of the rectangle?

The lengths of two sides of a triangle are 48 m and 42 m, and the perimeter is 126 m. What is the third side of the triangle?

The base of an isosceles triangle is 30 m, and the perimeter is 84 m. What is the length of each leg?

The width of a rectangle is on half the length. The length of the rectangle is 40 in and the perimeter is 120 in. Find the width. Now that you found the width, what is the area of the rectangle?

A square garden has a perimeter of 100 m, what is the measurement of each side? Now that you know the length and the width, what is the area of the square?

The lengths of two sides are 16 cm and 14 cm, and the perimeter is 38 cm. What is the length of the third side of the triangle?

A square table has an perimeter of 24, what is area of the square?

NAME ___________________________________________________________________ PERIOD __________________

QUADRILATERALS

PARALLELOGRAM (attributes) PARRALLELOGRAM (picture)

Has ____ pair(s) of parallel sides. ___________ sides are equal in length. Has ____ pair(s) of congruent sides. Can a rectangle, square, and rhombus

be a parallelogram? (y/n) ______ Can a trapezoid be a parallelogram?

(y/n) _____ Why or why not? _____ _____________________________ _____________________________

RHOMBUS (attributes) Has ____ congruent sides. Can a rhombus be a parallelogram?

(y/n) _____. Why or why not?_____ _____________________________ _____________________________

Can a square be a rhombus? (y/n) ___ Why or why not? _________________ _______________________________ _______________________________

RHOMBUS (picture)

RECTANGLE (attributes) Has ____ right angles. Can a rectangle be a parallelogram? (y/n) _____. Why or why not?_____

_____________________________ _____________________________

Can a rectangle be a square? (y/n)_____. Why or why not?_____ _____________________________ _____________________________

RECTANGLE (picture)

SQUARE (attributes) Has ____ right angles. Has ____ pair(s) of equal sides. Has ____ congruent sides. Can a square be a rectangle?

y/n)_____. Why or why not?_____ _____________________________ _____________________________

SQUARE (picture)

TRAPEZOID (attributes) Has ____ pair(s) of parallel sides. Can a trapezoid have right angles?

(y/n)________ If yes, how many? ____ Can a trapezoid have congruent sides?

(y/n)________ If yes, how many? ____ Can a trapezoid be a parallelogram? (y/n) _____. Why or why not?_____

_____________________________ _____________________________

TRAPEZOID(picture)

POLYGONS

SHAPE PICTURE # of SIDES # of ANGLES SUM OF ANGLES

TRIANGLE

QUADRILATERAL

PENTAGON

HEXAGON

HECTOGON

OCTOGON

Can you figure out the pattern or relationship between the polygon’s number of angles and sum of angle measurements?___________________________________________________

NAME ___________________________________________________________________ PERIOD __________________

QUADRILATERALS

PARALLELOGRAM (attributes) Has ____ pair(s) of parallel sides. ___________ sides are equal in length. Has ____ pair(s) of congruent sides. Can a rectangle, square, and rhombus

be a parallelogram? (y/n) ______ Can a trapezoid be a parallelogram?

(y/n) _____ Why or why not? _____ _____________________________ _____________________________

PARRALLELOGRAM (picture)

RHOMBUS (attributes) Has ____ congruent sides. Can a rhombus be a parallelogram?

(y/n) _____. Why or why not?_____ _____________________________ _____________________________

Can a square be a rhombus? (y/n) ___ Why or why not? _________________ _______________________________ _______________________________

RHOMBUS (picture)

RECTANGLE (attributes) Has ____ right angles. Can a rectangle be a parallelogram?

RECTANGLE (picture)

(y/n) _____. Why or why not?_____ _____________________________ _____________________________

Can a rectangle be a square? (y/n)_____. Why or why not?_____ _____________________________ _____________________________

SQUARE (attributes) Has ____ right angles. Has ____ pair(s) of equal sides. Has ____ congruent sides. Can a square be a rectangle?

y/n)_____. Why or why not?_____ _____________________________ _____________________________

SQUARE (picture)

TRAPEZOID (attributes) Has ____ pair(s) of parallel sides. Can a trapezoid have right angles?

(y/n)________ If yes, how many? ____ Can a trapezoid have congruent sides?

(y/n)________ If yes, how many? ____ Can a trapezoid be a parallelogram? (y/n) _____. Why or why not?_____

_____________________________ _____________________________

TRAPEZOID(picture)

POLYGONS

SHAPE PICTURE # of SIDES # of ANGLES SUM OF ANGLES

TRIANGLE

QUADRILATERAL

PENTAGON

HEXAGON

HECTOGON

OCTOGON

Can you figure out the pattern or relationship between the polygon’s number of angles and sum of angle measurements?___________________________________________________

NAME ________________________________________________ DATE _______________________________________

UNIT RATES, RATIOS, PROPORTIONS, AND PERCENTS REVIEW

1)Rosa has $300 dollars. If she spent 40% of her money. How much did she spend?

2)A book has 500 pages. Joseph read 30% of the book. How many pages did Joseph read already?

3)A class has 200 students. 60% of those students are Girls. How many students are boys?

4)A test has 20 questions, if 5 questions were missed then what did percentage did the student get correct?

5)A car traveled a distance of 195 miles in 3 hours and 15 minutes. What is the unit rate?

6) Maggie bought 1 dozen roses for $3.64. About how much did each rose cost?

7) There are 13 boys and 14 girls in Ms. Nahvipour’s class. If three of the students are absent today, what is the ratio of students absent to students present?

a) 1:8 b) 1:9 c) 1:10 d) Not Here

8)Daniella paid $45.99 for 12 gallons of gasoline for her Toyota. How much was each gallon of gas (round to the nearest cent.)?

9)A box of trash bags is sold in 4 different sizes. Which size has the lowest unit price? a) 10 count for $1.29 b)25 count for $3.09 c)45 count for $5.99 d)85 count for $10.79

10)The table below shows the reading speeds of four students. Who had the fastest rate?

STUDENT READING SPEED Katelyn 364 words in 7 minutes Bonnie 333 words in 6 minutes Osvaldo 265 words in 5 minutes Karen 420 words in 8 minutes

11)Mario can ride his bike 5 miles in a half hour. How far can he ride in 3 hours?

12) Camilla can buy 20 stickers for $2. How many stickers can Camilla buy with $5?

13)Five pounds of peanuts cost $7.00. How 14) Walking 10 blocks will consume approximately

much will 3 pounds cost?

75 calories. Approximately how many calories will be consumed if 25 blocks are walked?

15)A model airplane is built to scale, and is 10 inches long and 9 inches wide. If the real airplane is 40 feet long, how wide is it?

16) Mr. Ruiz has a business card that is 2 inches high by 3 inches wide. If he wants to scale the card to a billboard that is 18 feet high, how wide will it be?

17) 18) What is the value of segment EC?

NAME _________________________________________________ DATE ______________________________

ORDER OF OPERATIONS, INTEGERS, SEQUENCES, AND EQUATIONS

1) 2)

3)

4)

5) The number line below models which expression?

6)

7)

8)

9)

10)

11) 12)

13)What is the value of x?

14)What is the value of x?

15)What is the value of x?

16)What is the value of a?

17)What is the value of z?

5z – 2 = 3z + 12 18)What is the value of x?

6x + 3 = x - 28

19) What is the value of x?

3x + 2 = 2x + 5

20) What is the value of y? 4y + 4 = 2y + 24

NAME _________________________________________________ DATE ______________________________

FRACTIONS, DECIMALS, AND PERCENTS

Write 13/20 has a decimal and a percent? Draw a picture to represent 13/20.

Convert 7/8 into a decimal and a percent? Draw a picture to represent 7/8.

Jody bought a package of 18 muffins for $6.84. How much did each muffin cost? A $0.28 B $0.38 C $0.43 D Not Here

Karen bought 20 roses for $50.80, tax included. How much did each rose cost? A $2.44 B $2.54 C $2.74 D $3.54

How much of this picture is shaded as a percent?

How much of this picture is not shaded as a percent?

NAME ____________________________________________ DATE ___________________________

THE SKINNY ON OAKCLIFF ZIP CODE 75208 (population approximately 36,000)

(data taken from www.zipskinny.com)

Educational Achievement

(over the age of 25)

< than 9th grade 30% 9th - 12th non-grad 18% high school 16% some college 15% associate degree 3% bachelors degree 10%

graduate/professional 8% 1)If 55% of Oakcliff’s population is over the age of 25, approximately how many people are over the age of 25?

2)If 30% of the population that is over 25 have less than a 9th grade education, approximately how many people would that be?

3) How many people have a high school diploma or more?

3)How many people have been to college?

Marital Status (over the age of 16)

Never married 30% Married 50% Seperated 4% Widowed 6% Divorced 8%

1)If 70 percent of Oakcliff’s population is over the age of 16, approximately how many people are over the age of 16?

2)If 50% of the Oakcliff population is married, then approximately how many are married?

3) In total, how many people in Oakcliff are widowed, separated, or divorced?

4)How many people in Oakcliff have never been married?

Occupation (over the age of 16)

Mgt/Proffessional 24% Service 13.5% Sales/Office 24% Farm/Fishing/Forestry 0.5% Construction/Extraction/Maint. 19% Production/Transportation 19%

1)How many people in Oakcliff work in the farming/fishing/forestry industry?

2)Why do you think not that many people work in the farming/fishing/forestry industry in this area?

3)How many people work in management/professional fields?

4)How many work in the sales/office industry?

5)How many people work in the construction/extraction or production/transportation fields?

6)What industry do you think teachers, nurses, and police officers would be in?

1. In Buffalo, New York, the temperature was -14°F in the morning. If the temperature dropped 7°F, what is the temperature now? (Draw a number line)

2. A submarine was situated 800 feet below sea level. If it ascends 250 feet, what is its new position?

3. Roman Civilization began in 509 B.C. and ended in 476 A.D. How long did Roman Civilization last?

4. A submarine was situated 450 feet below sea level. If it descends 300 feet, what is its new position?

5. The Punic Wars began in 264 B.C. and ended in 146 B.C. How long did the Punic Wars last?

6. The temperature in Dallas was 65 degrees at 7:00 A.M. Three hours later the temperature increased 8 degrees. By noon the temperature drops 3 degrees. What is the new temperature in Dallas?

1) Ken worked 6.5 hours Monday and 5 hours Tuesday. He was paid $ 143.75 for the two days. What is Ken’s hourly wage? a) $ 28.75 b) $ 22.11 c) $ 12.50 d) $ 11.50

2) Shelly spent $ 24.49 at the gas station to fill the tank of her car. She pumped 15.4 gallons of gas. How much did the gas cost per gallon? a) $ 15.40 b) $ 10.60 c) $ 1.59 d) $ 1.06

3) Which statement is not true

a) .72 > 74/100 b) Seven tenths = 7/ 10 c) .27 < seventy two hundredths d) 7½ = 7.12

4) What is the value of the expression 20 ­ ( 2 + 3² ) (-10)

a) -90 b) -100 c) -130 d) 130 e) Not here

5) What are the first six term of the sequence 10 ( n-1) ?

a) 0,10,20,30,40,60… b) 0,10,20,40,50,60… c) 20,30,40,50,60,70… d) 0,10,20,30,40,50,60….

e) Randy drives 34.5 miles to grandma's house. His brother,

Mike, drives 72.3 miles. How much farther does Mike drive?

f) A wool scarf that was 3.2 feet long before the wash is now 2.8 feet long. How much did the scarf shrink?

g) Zech was 21 pounds at three months. He was 7.3 pounds at birth. How much weight did he gain in three months?

h) Eight swim lessons cost $12.85 for members of the club and $16.50 for non-members. How much more do non-members pay for eight lessons

i) A triangular frame is 36.8 inches around. Two sides measure 9.45 inches and 13 inches. What is the measure of the last side?