1-1 Skills Practice · 2019-11-25 · Pdf Pass NAME DATE Skills Practice Write a function and make...
Transcript of 1-1 Skills Practice · 2019-11-25 · Pdf Pass NAME DATE Skills Practice Write a function and make...
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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 <, =, or > 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 A5
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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
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Math Triumphs Lesson 1-2 A9
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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
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Math Triumphs Lesson 1-3 A13
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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
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Math Triumphs Lesson 1-4 A17
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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
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Math Triumphs Lesson 1-5 A21
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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 4Number of Pints 2
11 Number of Years 1 2 3 4Number of Months 12
12 Number of Yards 1 2 3 4Number of Inches 36
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A28 Lesson 2-1 Math Triumphs
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NAME DATE
Skills Practice
Write a function and make a function table.
5 TRAVEL Adina can paddle a canoe in still water at an average
speed of 4 miles per hour. Let y = miles traveled and x = number
of hours.
y =
Number of Hours, x 1 2 3 4 5Miles Traveled, y
If Adina canoed for 4 hours, how many miles did Adina canoe?
6 FITNESS Kyle began exercising for 25 minutes each day. Each
week, he increased the time of his workout by 5 minutes. Let
y = length of workout in minutes and x = number of weeks.
y =
Number of Weeks, x 1 2 3 4 5 6Length of Workout, y
What is the length of Kyle’s daily workout after 6 weeks?
7 BABYSITTING Each Saturday evening, Jaylynn drives across town
to babysit for a family with two children. She is paid $5 per hour
plus $6 for gas. Let y = amount of money she receives and let
x = number of hours she babysits.
y =
Number of Hours Babysitting, x 2 3 4 5 6Amount 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.
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A32 Lesson 2-2 Math Triumphs
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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 because
they 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 because
they 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
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
A
C
B D
E
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
I J
G
FH
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
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A36 Lesson 2-3 Math Triumphs
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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 Graph y = - x __ 2 + 1. 6 Graph y = -2x + 1.
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-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
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A40 Lesson 2-4 Math Triumphs
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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. The
number of tiles is three times the square of the
height (in decimeters) of the wall where the tile
will go.
y =
Height (in decimeters), x 3 4 5 6 7Number of Tiles, y
How many tiles are needed for a space with a height of 5 decimeters?
The function is .
2 y = xfunction
table
graph
3 y = 3x - 2function
table
graph
4 y = -2x + 1function
table
graph
5 y = x2
function
table
graph
Match each function with its function table and its graph.
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
y
xO 1 2 3 4 5
45
321
-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
xO 1 2 3 4 5
45
321
-2-3-4-5
-2-1-3-4-5
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A44 Lesson 2-5 Math Triumphs
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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
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Math Triumphs Lesson 3-1 A51
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Skills PracticeLesson
3-2
Evaluate each expression when Δ = 4 and � = 5.
1 3 · � + 20 - (6 - 2) + Δ
Replace symbols with values:
Value of the expression:
2 � · 20 - �2 + 10 - (Δ + 2)
Replace symbols with values:
Value of the expression:
3 (Δ · 7 - �2) ÷ 3
Replace symbols with values:
Value of the expression:
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 + (a · b)2
21 b + 42 - (a · b) + a2
23 14 + a2 · 7 - 6 + (b ÷ 2) - 8
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Math Triumphs Lesson 3-2 A55
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Skills PracticeLesson
3-3
Find the value of each variable in each equation.
3 □ + 12 = 19
□ =
4 8 · r = 24
r =
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
□ =
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Math Triumphs Lesson 3-3 A59
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Skills PracticeLesson
3-4
Find the value of m, when p = 18 and t = 6.
1 p = m + t 2 t = m - p
m = m =
3 t = p + m 4 p = m · t
m = m =
Use the formula A = � · w to solve for �, length.
5 The area of the rectangle is 36 square feet.
Its width is 3 feet. What is the length of
the rectangle?
� =
6 The area of the rectangle is 18 square
meters. Its width is 2 meters. What is
the length of the rectangle?
� =
Use the formula A = � · w to solve for w, width.
7 The area of the rectangle is 48 square
meters. Its length is 12 meters. What is
the width of the rectangle?
w =
8 The area of the rectangle is 72 square feet.
Its length is 9 feet. What is the width of
the rectangle?
w =
Use the formula d = r · t to solve for r, rate.
9 Melissa traveled 86 miles in 2 hours. What
was her rate of speed?
r =
10 Jeremy traveled 168 miles in 3 hours. What
was his rate of speed?
r =
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Math Triumphs Lesson 3-4 A63
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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.
7 ∠XYZ measures . ∠XYZ is a(n) angle.
8 ∠NUT measures . ∠NUT is a(n) angle.
Skills Practice
A70 Lesson 4-1 Math Triumphs
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Skills PracticeLesson
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 m60°
60°
60°
17
30°
130°20°
9 m
6 m
12 m
18 5 cm
8 cm
8 cm
72°
72°
36°
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A74 Lesson 4-2 Math Triumphs
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Skills PracticeLesson
4-3
Find the measure of each missing angle.
1
35°
?
2
122° ?
3
109°?
4
I
H
J
G18°
?
Sketch each type of angle given.
5 Sketch supplementary angles 6 Sketch complementary angles
when one angle’s measure is 40°. when one angle’s 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°
60°100°
?°
The measure of the missing The measure of the missing
angle is . angle is .
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A78 Lesson 4-3 Math Triumphs
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Skills PracticeLesson
4-4
Identify the measure of each angle indicated.
1 2
m∠R = 25°, so m∠T = m∠W = 148°, so m∠Y =
3 4
m∠B = 45°, so m∠C = m∠K = 87°, so m∠J =
Name the alternate interior angles.
5 6
Name the alternate exterior angles.
7 8
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A82 Lesson 4-4 Math Triumphs
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Skills PracticeLesson
5-1
G B
B
B
B
B
BG
Y
GY
R
RR
RRR
R
R
Y
G
Use the diagram to write each ratio as a
fraction in simplest form.
1 the number of yellow
marbles to the number
of red marbles
2 the number of black
marbles to the number
of green marbles
3 the number of green
marbles to the number
of 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 laptop
computers, and 5 printers. Write the ratio of printers to computers.
6 A tray of muffins contains 6 chocolate chip muffins, 3 blueberry
muffins, 4 pumpkin muffins, and 2 corn muffins. Write the ratio of
corn muffins to chocolate chip muffins.
7 Rebecca had 7 aces out of 10 serves in her volleyball game. Write the
ratio of aces to serves.
8 There were 8 cars and 3 buses in the parking lot. Write the ratio of
cars to the total number of vehicles.
9 In a classroom there are 15 boys and 13 girls. Write the ratio of boys
to the total number of students.
10 Write the ratio of the length
of the base to the height of
the triangle as a fraction in
simplest form.
base = 4 m
height = 2 m
Math Triumphs Lesson 5-1 A89
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Skills PracticeLesson
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 people
7 250 inches in 5 seconds; inches in 12 seconds
8 $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 $3.60
10 1 pound of pears for $0.99 or 5 pounds of pears for $4.60
11 a 16-oz box of cereal for $4.32 or a 12-oz box of cereal for $3.00
12 a pack of 6 pens for $4.74 or a pack of 15 pens for $12.75
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Math Triumphs Lesson 5-2 A93
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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 = or ≠ in
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 many
cakes require 12 cups of sugar?
20 Eighty flowers make 8 bouquets. How many flowers make
11 bouquets?
21 Fifty-six buttons are used on 8 sweaters. How many sweaters use
63 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 have
120 erasers?
24 Eighty-one books are on 9 shelves. How many shelves hold
36 books?
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Math Triumphs Lesson 5-3 A97
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Skills PracticeLesson
5-4
1 x =
6
4
8
x
3 x =
x 10
26
5
5 x =
5
4 14
x
2 x =
x
8 9
6
4 x =
x 11
53
6 x =
Find the value of x 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 her
to buy 7 cans of green beans?
8 Mr. Garcia drove 186 miles in 3 hours. At this rate, how long would
it 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 bracelets
for 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 2 1 __ 2 hours at her investment agency this
morning. At this rate, how many clients can she meet with in 4 hours
this afternoon?
28
8
10
x
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Math Triumphs Lesson 5-4 A101
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6-1 Skills Practice
Write an equation using exponents to represent each model.
1 2
3 4
Evaluate each expression.
5 112 base:
exponent:
112 = · =
6 92 7 12
8 72 9 22
10 52 11 102
12 42 13 122
14 32 15 62
A108 Lesson 6-1 Math Triumphs
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Skills PracticeLesson
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
Write the expression.
Name the factor pairs.
Replace 64 with the set of identical factor pairs.
√ � 64 =
7 1
Write the expression.
Name the factor pairs.
Replace 1 with the set of identical factor pairs.
√ � 1 =
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A112 Lesson 6-2 Math Triumphs
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Skills PracticeLesson
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
.
9 √ � 28 is close to the whole number
.
8 √ �� 116 is close to the whole number
.
10 √ � 3 is close to the whole number
.
Choose a reasonable estimate for each square root.
11 √ �� 140
10.6 11.8 12.2
13 √ �� 220
14.8 15.2 15.8
15 √ � 46
6.4 6.8 7.2
12 √ � 14
3.1 3.4 3.7
14 √ � 58
6.8 7.2 7.6
16 √ � 97
9.8 10.3 10.8
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A116 Lesson 6-3 Math Triumphs
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Skills PracticeLesson
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 14 50
b
b = units b = units
9 16
34
b
10 10.5
17.5
b
b = units b = units
Determine if each triangle is a right triangle, using the Pythagorean Theorem.
11
15 9
12
12
1
3
2
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A120 Lesson 6-4 Math Triumphs
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Skills PracticeLesson
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
x
-2-3-4
-2-3-4 21 43
1234
(2, 2)
(-2, -1)
5 y
x
-2-3-4
-2-3-4 21 43
1234
(0, 0)
(1, -3)
(-1, 3)
rise
____ run = _ =
6 y
x
-2-3-4
-2-3-4 21 43
1234
(3, -3)
(-2, 3)
rise
____ run = _ =
Graph another point on each line, given one point on the line and the slope.
7 y
x
12345678
1 2 3 4 5 6 7 8
(2, 1)
The slope is 1 __
5 .
9 y
x
12345678
1 2 3 4 5 6 7 8
(2, 3)
The slope is 4.
8 y
x
12345678
1 2 3 4 5 6 7 8
(3, 4)
The slope is - 3 __
2 .
10 y
x
12345678
1 2 3 4 5 6 7 8 9
(5, 3)
The slope is 3 __
4 .
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A124 Lesson 6-5 Math Triumphs
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Skills PracticeLesson
6-6
Graph each equation and determine its slope.
1 y = 1 __
2 x + 3
x -4 0 4y
The slope is .
2 y = -3x
x -1 0 1y
The slope is .
3 y = - 3 __
4 x - 2
x -4 0 4y
The slope is .
4 y = 4x
x -1 0 1y
The slope is .
y
xO 1 2 3 4 5-1-3-5
-2-3-4-5
45
321
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-1-3-5
y
xO 1 2 3 4 5
45
321
-2-3-4-5
-1-3-5
y
x
-2-3-4-5
-2-3-4-5 21 4 53
12345
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A128 Lesson 6-6 Math Triumphs
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Skills PracticeLesson
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 10
or multiples of 25.
20, 25, 30, 35, 40, 50, 75, 80, 85, 100
Multiples of 10 Multiples of 25 Neither
6 Create a Venn diagram to sort the numbers. Classify them as composite
numbers or odd numbers.
0, 4, 6, 9, 11, 13, 17, 21, 31, 40
Composite Numbers Odd Numbers Neither
Composite Numbers Odd Numbers
Math Triumphs Lesson 7-1 A135
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Skills PracticeLesson
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 telephone
number 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 - = .
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Math Triumphs Lesson 7-2 A139
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Skills PracticeLesson
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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Math Triumphs Lesson 7-3 A143
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Skills PracticeLesson
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 Type
of 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
45
3
12
6
Num
ber o
f Stu
dent
s
Book Type
789
10111213
My Classmates’ FavoriteType of Book
ClassicNovel
Mystery Biography ScienceFiction
34
21
5
Num
ber o
f Stu
dent
s
Book Type
6789
Boys
Girls
Key
My Classmates’ FavoriteType of Book
Mon Tues Wed Thurs Fri Sat Sun
45
3
12
6
Hour
s
Day of the Week
789
Hours EllenVolunteers at the Hospital
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Math Triumphs Lesson 7-4 A147
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Skills PracticeLesson
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 Cassie’s Pet Store.
Mice at Cassie’s 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 by
the 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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Math Triumphs Lesson 7-5 A151
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Skills PracticeLesson
7-6
Use the line graph “Jennifer’s 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 Jennifer
save 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 difference
between the number of cones and number of
shakes sold?
7 In which month were the fewest number of
shakes 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.
250300
Num
ber o
f Dol
lars
350400450500550600
0
Jan
SeptFeb
Mar Apr
May
JuneJuly
Aug
Month
Jennifer’s Savings
302010
405060
Sale
s Do
llars
(in
thou
sand
s)708090
100
0
May
June July
Aug
Sept
Month
Ice Cream Sales
Cones
Shakes
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Math Triumphs Lesson 7-6 A155
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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 7
2006 16
2007 21
2008 27
2009 32
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Math Triumphs Lesson 7-7 A159
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Skills PracticeLesson
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?
· =
7 What is 30% of 84?
· =
6 What is 190% of 30?
· =
8 What is 42% of 42?
· =
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 a
multi-media attraction at an amusement park yesterday chose to sit
in the stationary seating section. If 4,420 people entered the attraction,
how many sat in the stationary seating?
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A166 Lesson 8-1 Math Triumphs
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Skills PracticeLesson
8-2
1 Find the degrees needed to show a
40% sector in a circle graph.
40% = ______ 100
÷ ______ = ______
______ 1
· ______ = ________ =
2 Use combinations to find the degrees
needed to show a 45% sector in a
circle 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 can
you 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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A170 Lesson 8-2 Math Triumphs
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Skills PracticeLesson
8-3
1 PET STORE There are 40 kittens at a pet store. The circle graph
shows the percentage of each color. Which two colors together
are the same percentage as that of the black kittens?
2 BIRDHOUSES Pat has 50 birdhouses in her backyard. The
percentage of each size of birdhouse is shown in the circle
graph. 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 geography
class about their spring break plans. Twenty of the students
were going on vacation. Their destinations are shown in the
circle 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 is
the same as the number of students going to Texas?
6 How many of the students going on vacation are not going to
California or Hawaii?
Use the circle graph titled “Spring Break Destination” to answer the
questions below.
Multi-colored
33%
Yellow 11%
Black28%
White12%
Gray16%
ExtraLarge44%
Small22%
Medium22%
Large12%
Hawaii5%
NewYork15%
Florida50%
California10%
Texas20%
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A174 Lesson 8-3 Math Triumphs
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NAME DATE
Skills Practice
3 Use the table in Exercise 1 to create
a circle graph.
4 Use the table in Exercise 2 to create
a circle graph.
Lesson
8-4
1 Complete the table to show the decimal value, the percent, and the
degree 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 Tami’s 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° Copyrig
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A178 Lesson 8-4 Math Triumphs
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PDF 3rd
Skills PracticeLesson
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 - 8
Complete 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
Math Triumphs Lesson 9-1 A185
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Skills PracticeLesson
9-2
Explain whether each scatter plot shows a positive, negative,
or no relationship.
1 y
x
O
12345678
15 30 45 60
Heig
ht o
f Can
dle
(in.)
Time Burning (min)
As the time increases, the height of
the candle .
Describe the relationship between the
time and the height of the candle.
2 y
x
O
123456789
10
1 2
Dist
ance
(mi)
Time Running (hr)
As the time increases, the distance
traveled .
Describe the relationship between the
time 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 relationship
between the data sets.
Day 1 2 3 4 5 6Snowfall (in.) 2 3 2 4 3 5
4 SPELLING Andrea learned her spelling words, but has not
continued to practice them. The table below shows the
number of words she can still spell correctly for certain days
after her test. Create a scatter plot to find the relationship
between the data sets.
Day 1 2 3 4 5 6Number of Words
Spelled Correctly2 3 2 4 3 5
y
x
O
12345
78
6
1 2 3 4 5 7 86
Colorado Snow
y
x
O
369
1215
2124
18
761 2 3 4 5 8
Andrea’s Spelling List
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Math Triumphs Lesson 9-2 A189
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NAME DATE Lesson
9-3
Solve.
3 PETS The scatter plot at the right shows the weight and
age of a pet rabbit. Draw a line of best fit. Then describe
the slope of the line and the trend in the data.
4 Use the line of best fit for Exercise 1 to predict the
weight of the rabbit when it is 10 months old.
5 CUSTOMER SERVICE The scatter plot at the right shows
the wait time to get your phone call answered by the
appointment desk in a medical clinic at various times of
the day. Draw a line of best fit.
6 Use the line of best fit for Exercise 3 to predict the
wait time at 4 PM.
y
x
O
246
10
1416
8
12
1 2 3 4 5 6 7 8 9
Wei
ght (
ounc
es)
Age (months)
Joey’s Pet Rabbit
y
x
O
1
3
4
5
2
87A.M.
9 10 11 12P.M.
1 2 3 4 5
Wai
t Tim
e (m
in)
Time of Day
Skills Practice
Draw a line of best fit. Then describe the slope of the line and
the trend in the data.
1
1
130140150160170180190200210220230
2 3 4 5 7 8 9 10 116
Fitness Book Camp
Weeks
Wei
ght
y
x
O
2
1
1
23456789
1011
2 3 4 5 7 8 9 10 116
Weeks
y
xO
Summer Book Club
Book
s Re
ad
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Math Triumphs Lesson 9-3 A193
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