gr8_skillsp

7/30/2019 Gr8_SkillsP

1/42

NAME DATE

Skills Practice

Write the opposite of each number.

1 -3

4

8

2 2

5

-

5

3 7

6

4

Graph the integers on a number line. Then write them in order from least to greatest.

7 -2, 1, 5, -4, -3

0-1-2-3-4-5 1 2 3 4 5

9 3, -1, 1, 4, -4

0-1-2-3-4-5 1 2 3 4 5

11 -1, 4, -5, -2, 3

0-1-2-3-4-5 1 2 3 4 5

8 -3, -2, 1, -1, 3

0-1-2-3-4-5 1 2 3 4 5

10 1, -2, 3, -4, 4

0-1-2-3-4-5 1 2 3 4 5

12 -4, -1, 2, -2, -3

0-1-2-3-4-5 1 2 3 4 5

Write in each circle to make a true statement.

13 3 -4

0-1-2-3-4-5 1 2 3 4 5

15 -2 2

0-1-2-3-4-5 1 2 3 4 5

17 4 -5

0-1-2-3-4-5 1 2 3 4 5

14 -2 -7

0-1-2-3-4-5-6-7-8-9-10

16 5 -1

0-1-2-3-4-5-6-7-8-9-10 1 2 3 4 5 6 7 8 9 10

18 -1 -1

0-1-2-3-4-5-6-7-8-9-10 1 2 3 4 5 6 7 8 9 10

Lesson

1-1

Math Triumphs Lesson 1-1 A

CopyrightGlencoe/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,

Inc.


2/42

NAME DATE

Skills Practice

What is the opposite of each number? Write an addition sentence to show

the Inverse Property of Addition.

1 -1

3 9

5 6

7 -12

2 -2

4 10

6 -7

8 8

Find each sum. Use the number line.

9 4 + (-2) =

0-1-2-3-4-5 1 2 3 4 5

11 2 + (-7) =

0-1-2-3-4-5 1 2 3 4 5

13 -3 + (-3) =

0-1-2-3-4-5-6-7-8-9-10

15 -5 + 2 =

0-1-2-3-4-5-6-7-8-9-10

10 -1 + (-3) =

0-1-2-3-4-5 1 2 3 4 5

12 2 + (-3) =

0-1-2-3-4-5 1 2 3 4 5

14 -2 + 2 =

0-1-2-3-4-5 1 2 3 4 5

16 1 + (-3) =

0-1-2-3-4-5 1 2 3 4 5

Find each sum.

17 2 + (-5) =

19 -1 + (-4) =

21 -1 + 5 =

23 2 + (-2) =

18 4 + (-4) =

20 -4 + 0 =

22 -2 + (-8) =

24 1 + (-3) =

Lesson

1-2


Inc.

Math Triumphs Lesson 1-2 A


3/42

NAME DATE

Skills Practice

Find each absolute value.

1 | 8 |=

3

| -4 | =

5 | 15 |=

7 | -11 |=

9 | -7 |=

2 | 2 | =

4

| -6 | =

6 | 9 | =

8 | -1 | =

10 | 14 | =

Find each difference. Use the number line.

11 3 - (-4) =

0-2-4-6-8-10 2 4 6 8 10

13 -2 - 1 =

10-1-2-3-4-5 2 3 4 5

15 -7 - (-3) =

0-2-4-6-8-10 2 4 6 8 10

12 8 - 9 =

0-2-4-6-8-10 2 4 6 8 10

14 -4 - (-2) =

10-1-2-3-4-5-6 2 3 4 5 6

16 -9 - (-3) =

0-2-4-6-8-10 2 4 6 8 10

Find each difference.

17 -5 - (-6) =

19 10 - (-3) =

21 -8 - 4 =

23 2 - (-3) =

25 7 - 11 =

18 -4 - (-7) =

20 -1 - 6 =

22 3 - (-3) =

24 -9 - (-7) =

26 1 - 9 =

Lesson

1-3


Inc.

Math Triumphs Lesson 1-3 A1


4/42

NAME DATE

Skills Practice

10 -7 3 =

12 5 (-5) =

14 -6 4 =

16 -7 (-8) =

18 9 5 =

11 -10 2 =

13 -8 (-8) =

15 2 (-9) =

17 12 3 =

19 -4 11 =

Find each product.

Find the missing number. Name the multiplication property.

1 -8 3 = 3

2 -8(9 + 7) = (-8 ) + (-8 7)

3 -8 =-8

4 (-8 5) (-4) =-8 ( (-4))

5 -8 = 0

Find each product. Use a number line.

6 3 (-6) =

0-2-4-6-8-10-12-14-16-18-20

8 2 (-8) =

0-2-4-6-8-10-12-14-16-18-20

7 4 (-3) =

0-2-4-6-8-10-12-14-16-18-20

9 2 (-5) =

0-2-4-6-8-10-12-14-16-18-20

Lesson

1-4


Inc.



5/42

NAME DATE

Skills Practice

1 10 (-1) 2 10 1

3 -10 (-1) 4 -10 1

5 14 (-2) 6 49___7

7 -55 (-11) 8 28___-4

9 15 (-3) 10 -36 (-6)

11 -9___3 12 81 (-9)

13 56 7 14 -42 (-6)

15 100 (-25) 16 60 5

17 -36 4 18 -16____-4

19 0 (-8) 20 75 5

Find each quotient.

Lesson

1-5


Inc.



6/42

NAME DATE

Skills Practice

Find a rule for each pattern.

1 10, 20, 30, 40

2 100, 85, 70, 55

3 1600, 400, 100, 25

4 25, 50, 100, 200

5 12, 17, 22, 27

In each sequence, find a rule. Then write the next three terms.

6 11, 21, 31, 41

Rule:

Next terms: , ,

7 2,400,000; 240,000; 24,000

Rule:

Next terms: , ,

8 62, 74, 86, 98

Rule:

Next terms: , ,

9 6, 18, 54, 162

Rule:

Next terms: , ,

Write the next three conversions in each pattern.

10 Number of Quarts 1 2 3 4

Number of Pints 2

11 Number of Years 1 2 3 4

Number of Months 12

12 Number of Yards 1 2 3 4

Number of Inches 36

Lesson

2-1

Co

pyrightGlencoe/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,Inc.

A28 Lesson 2-1 Math Triumphs


7/42

NAME DATE

Skills Practice

Write a function and make a function table.

5 TRAVEL Adina can paddle a canoe in still water at an averagespeed of 4 miles per hour. Lety=miles traveled and x= numberof hours.

y =

Number of Hours, x 1 2 3 4 5

Miles Traveled, y

If Adina canoed for 4 hours, how many miles did Adina canoe?

6 FITNESS Kyle began exercising for 25 minutes each day. Eachweek, he increased the time of his workout by 5 minutes. Lety= length of workout in minutes and x= number of weeks.

y=

Number of Weeks, x 1 2 3 4 5 6

Length of Workout, y

What is the length of Kyles daily workout after 6 weeks?

7 BABYSITTING Each Saturday evening, Jaylynn drives across townto babysit for a family with two children. She is paid $5 per hourplus $6 for gas. Lety= amount of money she receives and letx = number of hours she babysits.

y =

Number of Hours Babysitting, x 2 3 4 5 6

Amount of Money Made, y

Jaylynn babysat for 5 hours. How much money did she receive?

Write a function to represent each situation.

1 Chad completed the race in half the time Jared did.

2 Flor is 2 years younger than Hector.

3 Each dining room table comes with 6 chairs.

4 Amanda has $10 more than Meagan.

Lesson

2-2

Co




8/42

NAME DATE

Skills Practice

Name the ordered pair for each point.

1 A

2 B

3 C

4 D

5 E

6 F

7 G

8 H

9 I

10 J

Graph the ordered pairs.

11 Graph the ordered pairs K(3, 1) and L (3, 4).

Then connect the points.

(3, 1) and (3, 4) are on a line parallel to the y-axis becausethey have the same -coordinates.

12 Graph the ordered pairs M (1, 4) and N(3, 4).Then connect the points.

(1, 4) and (-3, 4) are on a line parallel to the x-axis becausethey have the same -coordinates.

13 Graph the ordered pairs:

P (-

2,-

5) Q (-

2, 0)

R (3, 1) S (-5, 2)

T(3, -2) U(-4, -3)

y

x

O 1 2 3 4 5

4

5

3

21

-2

-3

-4

-5

-2-1-3-4-5

A

C

B D

E

y

x

O 1 2 3 4 5

4

5

3

21

-2

-3

-4

-5

-2-1-3-4-5

IJ

G

F

H

y

x

O 1 2 3 4 5

4

5

32

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

32

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

32

1

-2

-3

-4

-5

-2-1-3-4-5

Lesson

2-3

Co




9/42

NAME DATE

Skills Practice

Make a table for each equation.

1 y = x - 3

2 y =x__

2+ 3

Graph each equation.

3 Graph the equation from Exercise 1. 4 Graph the equation from Exercise 2.

5 Graphy=-x__2

+ 1. 6 Graphy=-2x+ 1.

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

45

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

x x- 3 yOrdered

Pair

-2

-1

0

1

2

x x_2+ 3 y Ordered

Pair

-4

-2

0

2

4

Lesson

2-4

Co




10/42

NAME DATE

Skills Practice

Write a function, make a function table, and make a graph.

Is the function linear or nonlinear?

1 INTERIOR DESIGN Kaneesha is putting decorative

tiles on the wall above her kitchen sink. Thenumber of tiles is three times the square of theheight (in decimeters) of the wall where the tilewill go.

y =

Height (in decimeters), x 3 4 5 6 7

Number of Tiles,y

How many tiles are needed for a space with a height of 5 decimeters?

The function is .

2 y = xfunctiontablegraph

3 y =3x -2functiontablegraph

4 y =-2x +1functiontablegraph

5 y = x2functiontablegraph

Match each function with its function table and its graph.

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

x -2 -1 0 1 2

y -8 -5 -2 1 4

x -2 -1 0 1 2

y 4 1 0 1 4

I II III IV

x -2 -1 0 1 2

y -2 -1 0 1 2

x -2 -1 0 1 2

y 5 3 1 -1 -3

Lesson

2-5

A

C

B

D

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-2-1-3-4-5

Co




11/42

NAME DATE

Skills PracticeLesson

3-1

Name the step that should be performed first in each expression.

1 8 6 (4 + 2) - 42

3 5 1 - 3 + 2 6

5 6 + 12______11 - 2

+ 7 3

2 3 6 + 32+ 9 3

4 9 - 2 + (12 6) + 9

6 10 2 (5 - 1) + 4

Find the value of each expression.

7 4 (2 + 6) - 30 + 42= 4 - 30 + 42

= 4 - 30 +

= - 30 +

= +

=

8 9 + 7 2 - 32+ (1 8) = 9 + 7 2 - 32+

= 9 + 7 2 - +

= 9 + - +

= - +

=

9 7 - 4 2 + 52

12 10 - (12 3) + 2 5

10 12 4 23- (3 + 2)

13 20 - 6 3 (7 - 5)

11 14 2 (8 - 4) + 9

14 7 (5 - 4)3+ 3 2



Inc.


12/42

NAME DATE


3-2

Evaluate each expression when = 4 and = 5.

1 3 + 20 - (6 - 2) +

Replace symbols with values:

Value of the expression:

2 20 -2+ 10 - (+ 2)



3 ( 7 -2) 3



Evaluate each expression when = 8.

4 21 +

6 5

8 2

10 2 + 17

12 80 - 3 + 5

5 64

7 + 14

9 36 -

11 56 - 4

13 3 + 24

Evaluate each expression when a= 3 and b= 4.

14 8a+b2- (55 5)

16 (18 + 7) + 12 (5 -b)

18 12 -b 2 + (b+ 5)2

20 (55 - 10a) 5 + 42

22 10 - 5 + 12 -b+ 9 7

15 21 -b+ 6 -a2

17 10b+ 52- (16 - 7)

19 9b 6 + 15 + (ab)2

21 b+ 42 - (ab) +a2

23 14 +a2 7 - 6 + (b 2) - 8CopyrightGlencoe/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,

Inc.



13/42

NAME DATE


3-3

Find the value of each variable in each equation.

3 + 12 = 19 =

4 8 r= 24r=

Find the value of each variable by modeling the equation.

1 3 += 8

=

2 15 n= 9 n=

5 y__3= 5

y =

6 20 -a= 14 a=

7 b 20 = 100 b=

8 7 += 32 =

9 t- 14 = 16 t=

10 __5= 8

=CopyrightGlencoe/McGraw-Hill,adivisionofTheMcGraw-HillCompanies,

Inc.



14/42

NAME DATE


3-4

Find the value ofm, when p= 18 and t= 6.

1 p=m+t 2 t=m-p

m= m=

3 t=p+m 4 p=mt

m= m=

Use the formula A=wto solve for , length.

5 The area of the rectangle is 36 square feet.Its width is 3 feet. What is the length ofthe rectangle?

=

6 The area of the rectangle is 18 squaremeters. Its width is 2 meters. What isthe length of the rectangle?

=

Use the formula A=wto solve for w, width.

7 The area of the rectangle is 48 squaremeters. Its length is 12 meters. What isthe width of the rectangle?

w=

8 The area of the rectangle is 72 square feet.Its length is 9 feet. What is the width ofthe rectangle?

w=

Use the formula d=rtto solve for r, rate.

9 Melissa traveled 86 miles in 2 hours. Whatwas her rate of speed?

r=

10 Jeremy traveled 168 miles in 3 hours. Whawas his rate of speed?

r=


Inc.



15/42

NAME DATE

Lesson

4-1

Draw an angle with the given measurement.

1 40 2 115

3 180 4 60

Measure and identify each angle.

5 ABC measures . ABC is a(n) angle.

"

# $

6 MOP measures . MOP is a(n) angle.

.

0 1

7 XYZ measures . XYZ is a(n) angle.

9

: ;

8 NUTmeasures . NUT is a(n) angle.

/

6 5

Skills Practice


Co



16/42

NAME DATE


4-2

Identify each angle as acute, obtuse, right, or straight.

1 117 2 90

3 3 4 180

5 164 6 48

Classify each triangle by the lengths of its sides.

7

4 in.

6 in.

6 in.

8

5 m9 m

11 m

9

4 m

4 m

4 m

10

3 ft5 ft

4 ft

Classify each triangle by the measures of its angles.

11

80

20

80

12 60 90

30

13

50 60

70 14

25 125

30

Classify each triangle by the measures of its angles and the lengths of its sides.

15

7 in.

7 in.9.9 in.

90

45

45

16

2 m2 m

2 m

6060

60

17

30

130 20

9 m

6 m

12 m

18

5 cm

8 cm

8 cm

72

72

36

Co




17/42

NAME DATE


4-3

Find the measure of each missing angle.

1 " $

# %

35

?

2

8 9 ;

122

:

?

3

1 2 4

109

3

?

4 I

H

J

G

18?

Sketch each type of angle given.

5 Sketch supplementary angles 6 Sketch complementary angleswhen one angles measure is 40. when one angles measure is 10.

Find the measure of each missing angle.

7

CA

B

90

?

45

8 L

M

N

125

? 20

The measure of the missing The measure of the missing

angle is . angle is .

9 D

E

G F

42

100

85 ?

10 W X

Z Y

125

60100

?

The measure of the missing The measure of the missing

angle is . angle is .

Co




18/42

NAME DATE


4-4

Identify the measure of each angle indicated.

1

5 4

32

2

; :

98

mR= 25, so mT= mW= 148, so mY=

3

%$

#"

4

)

,

+*

mB= 45, so mC= mK= 87, so mJ=

Name the alternate interior angles.

5

( '

&)

% $

#"

6

.,

-

*

/

01

+

Name the alternate exterior angles.

7

7

89

6

3

4

5

2

8

; :

98

% $

#"

Co




19/42

NAME DATE


5-1

G B

BB

B

B

B

G

Y

G

Y

R

R

R

R

RRR

R

Y

G

Use the diagram to write each ratio as a

fraction in simplest form.

1 the number of yellow

marbles to the numberof red marbles

2 the number of blackmarbles to the numberof green marbles

3 the number of greenmarbles to the numberof red marbles

4 the number of red marbles to the number of black marbles

Write each ratio as a fraction in simplest form.

5 In a computer lab there are 15 desktop computers, 7 laptopcomputers, and 5 printers. Write the ratio of printers to computers.

6 A tray of muffins contains 6 chocolate chip muffins, 3 blueberrymuffins, 4 pumpkin muffins, and 2 corn muffins. Write the ratio ofcorn muffins to chocolate chip muffins.

7 Rebecca had 7 aces out of 10 serves in her volleyball game. Write theratio of aces to serves.

8 There were 8 cars and 3 buses in the parking lot. Write the ratio ofcars to the total number of vehicles.

9 In a classroom there are 15 boys and 13 girls. Write the ratio of boysto the total number of students.

10 Write the ratio of the lengthof the base to the height ofthe triangle as a fraction insimplest form.

base= 4 m

height = 2 m



Inc.


20/42

NAME DATE


5-2

Write each rate as a fraction. Find each unit rate.

1 6 bottles of water

$3.00

3 250 envelopes in 10 minutes

2 4 apples

$1.20

4 15 pages in 45 minutes

Find each unit rate. Use the unit rate to find the unknown amount.

5 125 miles for 2 hours; miles for 5 hours

6 64 ounces for 8 people; ounces for 30 people7 250 inches in 5 seconds; inches in 12 seconds8 $65 for 4 CDs; for 7 CDs

Which product has the lower unit cost?

9 a 40-oz bag of dog food for $6.80 or a 24-oz bag of dog food for $3.6010 1 pound of pears for $0.99 or 5 pounds of pears for $4.6011 a 16-oz box of cereal for $4.32 or a 12-oz box of cereal for $3.0012 a pack of 6 pens for $4.74 or a pack of 15 pens for $12.75


Inc.



21/42

NAME DATE


5-3

1 14___2 7__

1

5 3__9 21___

42

2 3__4 9___

16

6 14___16

49___56

3 3__8 12___

32

7 10___12

20___24

4 2__5

12___45

8 15___21

35___48

Determine whether each pair of ratios is proportional. Write =orin

each circle.

Solve each proportion.

9 3__9= l___

21 l=

11 7___10

=35___r r=13 4__n=12___18 n=15 8__

2= t__

4 t =

17 b___11

=28___44

b=

10 9___12

=x___28

x=

12 6___15

=10___k

k=

14 10___m=15___18 m=16

y__

5=

28___70

y=

18 6___14

=15___a a =

Solve.

19 Twenty-eight cups of sugar are required for 14 cakes. How manycakes require 12 cups of sugar?

20 Eighty flowers make 8 bouquets. How many flowers make11 bouquets?

21 Fifty-six buttons are used on 8 sweaters. How many sweaters use63 buttons?

22 Fifty-four balloons are in 3 bags. How many bags have

126 balloons?

23 Seventy-five erasers are in 5 boxes. How many boxes have120 erasers?

24 Eighty-one books are on 9 shelves. How many shelves hold36 books?


Inc.



22/42

NAME DATE


5-4

1 x =

6

4

8

x

3 x =

x

1026

5

5 x =

5

4 14

x

2 x =x

8 9

6

4 x =

x 11

53

6 x =

Find the value ofx in each pair of similar figures.

Use a proportion to solve.

7 Mary bought 3 cans of green beans for $1.20. What would it cost herto buy 7 cans of green beans?

8 Mr. Garcia drove 186 miles in 3 hours. At this rate, how long wouldit take him to travel 465 miles?

9 Amir sells handmade leather bracelets in packages of 3 for $25.00.A school fundraising group contacted him about making 75 braceletsfor their members to sell. How much should he charge for 75 bracelets

in order for the unit cost to be the same?

10 Kaitlin met with 5 clients in 21__2

hours at her investment agency this

morning. At this rate, how many clients can she meet with in 4 hoursthis afternoon?

28

8

10

x


Inc.



23/42


24/42

NAME DATE


6-2

Find the positive square root using an area model.

1

49 =3

81 =

2

16 =4

9 =

Find the positive square root of each number.

5 121

Write the expression.

Name the factor pairs.

Replace 121 with the set of identical factor pairs.

121 =6 64




64 =7 1




1 =

Co




25/42

NAME DATE


6-3

Write an inequality using common square roots.

1 < 39 < 3 < 7 < 5 < 72 <

2 < 130 < 4 < 190 < 6 < 23 <

Estimate each square root to the nearest whole number. Plot each

value on a number line.

7 66 is close to the whole number.



10 3 is close to the whole number

.

Choose a reasonable estimate for each square root.

11 14010.6 11.8 12.2

13 22014.8 15.2 15.8

15 466.4 6.8 7.2

12 143.1 3.4 3.7

14 586.8 7.2 7.6

16 979.8 10.3 10.8

Co




26/42

NAME DATE


6-4

Find the length of the hypotenuse of the right triangle.

1

5

12

c 2

15

8

c

c= units c= units

3 7

24

c 4 15

20

c

c= units c= units

5 4.5

6

c 6

3

4

c

c= units c= units

Find the length of the leg of each right triangle.

7 10

26

b

8

1450

b

b= units b= units

9

1634

b

10

10.517.5

b

b= units b= units

Determine if each triangle is a right triangle, using the Pythagorean Theorem.

11

159

12

12

1

3

2

Co




27/42

NAME DATE


6-5

Find the slope of each line.

1 The rise is units.

2

The run is units.

3 The slope is .

4 rise

____run=_

y

x0

-2

-3-4

-

2-

3-

4 21 43

1

2

3

4

(2, 2)

(-2, -1)

5 y

x0

-2

-3-4

-2

-3

-4 21 43

1

2

3

4

(0, 0)

(1,-3)

(-1, 3)

rise____run=_=

6 y

x0

-2

-3-4

-2

-3

-4 21 43

1

2

3

4

(3,-3)

(-2, 3)

rise____run=_=Graph another point on each line, given one point on the line and the slope.

7 y

x0

1

2

3

4

5

6

7

8

1 2 3 4 5 6 7 8

(2, 1)

The slope is 1__5

.

9 y

x0

1

2

3

4

5

6

78

1 2 3 4 5 6 7 8

(2, 3)

The slope is 4.

8 y

x0

1

2

3

4

5

6

7

8

1 2 3 4 5 6 7 8

(3, 4)

The slope is -3__2

.

10 y

x0

1

2

3

4

5

6

78

1 2 3 4 5 6 7 8 9

(5, 3)

The slope is3__

4.

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28/42

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6-6

Graph each equation and determine its slope.

1 y =1__2x+ 3

x -4 0 4

y

The slope is .

2 y =-3x

x -1 0 1

y

The slope is .

3 y =-3__4x- 2

x -4 0 4

y

The slope is .

4 y = 4x

x -1 0 1

y

The slope is .

y

x

O 1 2 3 4 5-1-3-5

-2

-3

-4

-5

4

5

3

21

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-1-3-5

y

x

O 1 2 3 4 5

4

5

3

2

1

-2

-3

-4

-5

-1-3-5

y

x0

-2

-3

-4

-5

-2-3-4-5 21 4 53

1

2

3

4

5

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29/42

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7-1

Sort the numbers into each category.

1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12

1 whole number factors of 18: 2 prime numbers:

3 both: 4 neither:

5 Create a Venn diagram to sort the numbers. Classify them as multiples of 10or multiples of 25.

20, 25, 30, 35, 40, 50, 75, 80, 85, 100

Multiples of 10 Multiples of 25 Neither

.VMUJQMFTPG .VMUJQMFTPG

6 Create a Venn diagram to sort the numbers. Classify them as compositenumbers or odd numbers.

0, 4, 6, 9, 11, 13, 17, 21, 31, 40

Composite Numbers Odd Numbers Neither

Composite Numbers Odd Numbers



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30/42

NAME DATE


7-2

Find the mode for each given set of data.

1 1, 2, 0, 1, 2, 0, 1

3 3, 0, 0, 1, 2

2 7, 3, 5, 2, 4, 3, 6, 10, 0

4 9, 3, 2, 5, 6, 3, 3, 7, 15

Find the median for each given set of data.

5 Henry asked seven people what the last digit in their telephonenumber is.

2, 5, 9, 9, 7, 4, 3

Arrange the numbers in order: , , , , , ,

The median is .

6 Christina asked five people how tall they were, in inches.

54, 63, 62, 48, 68

Arrange the numbers in order: , , , ,

The median is .

7 Nathan recorded the low temperatures for each day one week.

34, 32, 41, 29, 42, 32, 50

Arrange the numbers in order: , , , , , ,

The median is .

Find the range for each given set of data.

8 2, 5, 9, 9, 7, 4, 3

The range of digits in Exercise 5 is - = .

9 54, 63, 62, 48, 68

The range of heights in Exercise 6 is - = .


Inc.



31/42

NAME DATE


7-3

1 16, 11, 15, 4

+

+

+

=

=The mean is .

Find the mean of each data set.

2 16, 24, 32, 18, 10

4 2.2, 3.5, 5, 4.1, 5.2

3 65, 42, 38, 27

5 34, 28, 30, 26, 22

6 12, 8, 5, 7, 9, 4

8 9, 2, 1, 7, 17, 8

7 8.3, 3.6, 9.4, 3.9

9 48, 59, 72, 66

10

Mean: 7 Data set: 5, 11, 2,

12 Mean: 59 Data set: 56, 63,

11

Mean: 4 Data set: 4.1, 4.3, 3.9,

13 Mean: 93 Data set: 99, 84, 88, 92,

Find the mean of the data set. Convert the remainder into a fraction or a decimal.

Find one missing number from a data set when the mean is given.


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32/42

NAME DATE


7-4

Use the bar graph My Classmates Favorite Type of Book

to compare data.

1 How many students chose Mystery as their favorite

type of book?

2 How many chose Science Fiction?

3 How many chose Biography?

4 How many more students prefer Mysteries

than Classic Novels?

Use the double-bar graph My Classmates Favorite Typeof Book to compare data.

5 How many girls chose Mystery as their favorite

type of book?

6 How many girls chose Classic Novel or

Biography?

7 How many more girls than boys chose

Classic Novels?

8 What type of book was preferred by the same

number of boys and girls?

Use the bar graph Hours Ellen Volunteers at the Hospital

to compare data.

9 What are the categories?

10 How many more hours does Ellen volunteer on

Saturday than on Sunday?

11 How many hours does Ellen volunteer on Monday

and Tuesday together?

12 How many total hours does Ellen volunteer during

the week?

ClassicNovel

Mystery Biography ScienceFiction

4

5

3

1

2

6

NumberofStudents

Book Type

7

8

910

11

12

13

My Classmates FavoriteType of Book

ClassicNovel

Mystery Biography ScienceFiction

3

4

2

1

5

NumberofStudents

Book Type

6

7

8

9

Boys

Girls

Key

My Classmates FavoriteType of Book

M on T ues W ed Thurs Fri Sat Sun

4

5

3

1

2

6

Hours

Day of the Week

7

8

9

Hours EllenVolunteers at the Hospital


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33/42

NAME DATE


7-5

Use the data in the table to plan a bar graph.

The table shows the method students used to get to school.

1 What is a good title for the graph?

2 What are the two main categories?

3 What interval could be used for the scale?

4 What will the height of each bar represent?

Use the data in the table to create a bar graph.

5 The table shows the color of each mouse at Cassies Pet Store.

Mice at Cassies Pet Store

Color Number

White 10

Gray 8

Black 6

Brown 12

Use the data in the table to create a double-bar graph.

6 The table shows the number of fundraising items sold bythe students in each grade.

Items Sold in Fundraiser

Item By Grade 7 By Grade 8

Candles 17 24

Gift Wrap 30 20

Candy 16 22

Nuts 12 15

Method of Getting to School

Method Number of Students

Car 36

Bus 44

Walk 24

Bike 18


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34/42

NAME DATE


7-6

Use the line graph Jennifers Savings to compare data.

1 About how many dollars did Jennifer save in January?

2 In which month did Jennifer save the most?

3 What is the interval of the scale?

4 For the months shown, in which month did Jennifersave the least?

Use the double-line graph Ice Cream Sales to compare data.

5 In which month were more cones sold than shakes?

6 In which month is there the greatest differencebetween the number of cones and number ofshakes sold?

7 In which month were the fewest number ofshakes sold?

8 Which month had the fewest number of sales combined?

9 What is the trend of shakes sold from May through July?

10 Describe the general trend of the graphs.

250

300

NumberofDollars

350

400

450

500

550

600

0Jan

SeptFe

bMarAp

rMayJuneJu

lyAu

g

Month

Jennifers Savings

30

20

10

40

50

60

SalesDollars(inthousands)

70

80

90

100

0

May

June Ju

lyAu

gSe

pt

Month

Ice Cream Sales

Cones

Shakes


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35/42

NAME DATE

Skills Practice

Use the data in the table to plan a line graph.

1 What is a good title for the graph?

2 What are the two main categories?

3 What interval could be used for the scale?

4 Describe the trend of the data. Does the percent of students increase,decrease, or stay the same over time?

5 Use the data in the table to create a line graph.

Car Wash Fundraiser

Time Money Collected

8 A.M. $150

10 A.M. $70

12 P.M. $230

2 P.M. $120

6 Use the data in the table to create a double-line graph.

Work Schedule

MonthHours Worked

Rob Irena

March 28 17

April 26 16

May 23 12

June 22 10

Lesson

7-7

Digital Camera Ownership

Year Percent of Students

2005 72006 16

2007 21

2008 27

2009 32


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36/42

NAME DATE


8-1

Identify each percent that is modeled.

1

2

3

fraction:

fraction with a denominator of 100:

_______ =

____100

decimal:

percent:

4

fraction:

fraction with a denominator of 100:

_______ =

____100

decimal:

percent:

Find the missing value.

5 What is 25% of 36?

=


=

6 What is 190% of 30?

=


=

Solve.

9 MOVIES Mike watched 40% of the DVDs on his bookshelf.If there were 15 DVDs on the shelf, how many did Mike watch?

10 ENTERTAINMENT Fifteen percent of the people who entered amulti-media attraction at an amusement park yesterday chose to sitin the stationary seating section. If 4,420 people entered the attraction,how many sat in the stationary seating?

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37/42

NAME DATE


8-2

1 Find the degrees needed to show a40% sector in a circle graph.

40% =______100

______=____________

1______=________=

2 Use combinations to find the degreesneeded to show a 45% sector in acircle graph.

+ + =

+ + =

3

fraction:

____________=______100

=

4

fraction:

____________=______100

=

Name the fraction and the percent of the circle that is shaded.

7 If you know that 5% of a circle has a degree measure of 18 , how canyou use this information to find the degree measure of a 35% sector?

5

50%

50% =______100

______=____________

1

______=______=

6

20%

20% =______100

______=____________

1

______=______=

Find the degrees needed to show each sector in a circle graph.

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38/42

NAME DATE


8-3

1 PET STORE There are 40 kittens at a pet store. The circle graphshows the percentage of each color. Which two colors togetherare the same percentage as that of the black kittens?

2 BIRDHOUSES Pat has 50 birdhouses in her backyard. Thepercentage of each size of birdhouse is shown in the circlegraph. What birdhouse size does Pat have twice as many

of as compared to the number of medium birdhouses?

3 TRAVEL Mr. Leonard asked the students in his geographyclass about their spring break plans. Twenty of the studentswere going on vacation. Their destinations are shown in thecircle graph. How many are going to California?

4 How many more students are going to Florida than to Texas?

5 The number of students going to which two states combined isthe same as the number of students going to Texas?

6 How many of the students going on vacation are not going toCalifornia or Hawaii?

Use the circle graph titled Spring Break Destination to answer the

questions below.

,JUUFO$PMPST

Multi-colored33%

Yellow11%

Black28%

White12%

Gray16%

#JSEIPVTF4J[FT

ExtraLarge44%

Small

22%

Medium22%

Large12%

4QSJOH#SFBL%FTUJOBUJPO

Hawaii

5%

New

York

15%

Florida

50%

California

10%

Texas

20%

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39/42

NAME DATE

Skills Practice

3 Use the table in Exercise 1 to createa circle graph.

4 Use the table in Exercise 2 to createa circle graph.

Lesson

8-4

1 Complete the table to show the decimal value, the percent, and thedegree measure for each class president candidate.

Candidate Number of Votes Decimal Value Percent Degree Measure

Lucy 50

Emil 70

Irma 40

Dale 40

Total Check 200 1.00 100% 360

2 COLLECTIONS Complete the table to show the decimal value, the percent,

and the degree measure for each stuffed animal in Tamis collection.

Animal Number Decimal Value Percent Degree Measure

Bear 10

Dog 20

Rabbit 5

Tiger 5

Cat 10

Total Check 50 1.00 100% 360

&MFDUJPO3FTVMUT 4UVGGFE"OJNBM$PMMFDUJPO

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40/42

NAME DATE


9-1

Determine which ordered pair below is a solution of each equation.

(2, 12) (10, 2) (3, 9) (8, 16)

1 y =x+ 6 2 y =x- 8Complete the table for the each equation. Then find three solutions for

each equation.

3 y = 2x+ 6

x 2x+ 6 y (x, y)

1 2(1) + 6

2 2( ) + 6

3 2( ) + 6

4 y = 3x- 1

x 3x- 1 y (x, y)

-1 3(-1) - 1

0 3( ) - 1

1 3( ) - 1

5 y =4x+ 2

x -4x+ 2 y (x, y)

0 -4( ) + 2

2 -4( ) + 2

4 -4( ) + 2

Find three solutions for each equation.

6 y = x- 7

7 y = 3x

8 y = 5x+ 4



Inc.


41/42

NAME DATE


9-2

Explain whether each scatter plot shows a positive, negative,

or no relationship.

1 y

x

O

1

2

3

4

5

6

7

8

15 30 45 60

HeightofCandle(in

.)

Time Burning (min)

As the time increases, the height of

the candle .

Describe the relationship between thetime and the height of the candle.

2 y

x

O

1

2

3

4

5

6

7

8

9

10

1 2

Distance(mi)

Time Running (hr)

As the time increases, the distance

traveled .

Describe the relationship between thetime and the distance traveled.

Solve.

3 SNOWFALL At a mountain resort in the Colorado Rockies,it has been snowing for the past six days. The table below

shows the data. Create a scatter plot to find the relationshipbetween the data sets.

Day 1 2 3 4 5 6

Snowfall (in.) 2 3 2 4 3 5

4 SPELLING Andrea learned her spelling words, but has notcontinued to practice them. The table below shows thenumber of words she can still spell correctly for certain daysafter her test. Create a scatter plot to find the relationshipbetween the data sets.

Day 1 2 3 4 5 6

Number of Words

Spelled Correctly2 3 2 4 3 5

y

x

O

1

2

3

4

5

7

8

6

1 2 3 4 5 7 86

Colorado Snow

y

x

O

3

6

9

12

15

21

24

18

761 2 3 4 5 8

Andreas Spelling List


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42/42

NAME DATE

Lesson

9-3

Solve.

3 PETS The scatter plot at the right shows the weight andage of a pet rabbit. Draw a line of best fit. Then describethe slope of the line and the trend in the data.

4 Use the line of best fit for Exercise 1 to predict theweight of the rabbit when it is 10 months old.

5 CUSTOMER SERVICE The scatter plot at the right showsthe wait time to get your phone call answered by theappointment desk in a medical clinic at various times ofthe day. Draw a line of best fit.

6 Use the line of best fit for Exercise 3 to predict thewait time at 4 PM.

y

x

O

2

4

6

10

14

16

8

12

1 2 3 4 5 6 7 8 9

Weight

(ounces)

Age (months)

Joeys Pet Rabbit

y

1

3

4

5

2WaitTime(min)

Skills Practice

Draw a line of best fit. Then describe the slope of the line and

the trend in the data.

1

1

130

140

150

160

170

180

190

200

210

220

230

2 3 4 5 7 8 9 10 116

Fitness Book Camp

Weeks

Weight

y

x

O

2

1

1

2

3

4

5

6

7

8

9

10

11

2 3 4 5 7 8 9 10 116

Weeks

y

x

O

Summer Book Club

BooksRead


Inc.

gr8_skillsp

Documents