Name
Date
LESSON
Class
Practice B
3-5 Equations, Tables, and Graphs
m
20m
Water (gallons)
1. The amount of water in a tank being filled is represented by the
equation g 20m, where g is the number of gallons in the tank
after m minutes. Make a table and sketch a graph of the
equation.
g
0
1
2
80
60
40
20
0
3
4
1 2 3 4
Time (minutes)
y
2. Use the table to make a graph
and to write an equation.
16
1
6
x
0
2
5
8
12
14
1
4
y
4
6
9
12 16
10
1
0
12
12
8
6
4
2
4
4 2
2O
x
2 4 6 8 10
0 12
2
3. Use the graph to make a table and to write an equation.
y
15
1
5
x
12
1
2
y
9
6
3
2
2
6
x
1 2 3 4 5
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All rights reserved.
38
Holt Mathematics
Puzzles, Twisters and Teasers
3-4 What’s the Word?
Reading Strategies
3-4 Focus on Vocabulary
LESSON
LESSON
Find and circle words from the list in the word search
(horizontally, vertically or diagonally). Find a word that
solves the riddle. Circle it and write it on the line.
A function is a rule that relates two values, an input value and an
output value. Each input value has exactly one output value.
The set of input values is called the domain. The set of output
values is called the range.
This table of y x 1 shows input and output values for the function.
Input Value
x
x 1
Output Value
y
2
2 + 1
1
1
1 + 1
0
0
0+1
1
1
(1) + 1
2
2
(2) + 1
3
input
output
domain
range
notation
table
graph
equation
represent
R
T
S
G
J
D
C
F
A
Answer each question.
E
A
W
O
U
O
D
U
S
P
B
N
A
I
M
O
N
D
R
L
F
G
O
A
U
C
F
E
E
G
P
E
I
T
T
G
S
T
I
O
J
N
P
I
H
E
G
N
I
H
L
U
O
J
N
H
P
U
G
O
T
N
K
T
Y
U
Y
F
P
H
R
L
N
O
T
A
T
I
O
N
I
Z
X
C
G
R
A
P
H
O
W
O
R
D
V
B
N
M
P
Q
E
Q
U
A
T
I
O
N
E
Y
U
B
M
C
D
R
P
a function
1. What do you call a rule that relates two values?
What can you keep after you give it to someone else?
domain
2. What name is given to all input values?
WORD
Your
range
3. What name is given to all output values?
y x 1
4. Write the equation of the function described by the table.
y
5. Which variable in the equation stands for the range?
x
6. Which variable in the equation stands for the domain?
one
7. How many output values are there for each input value?
35
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function
Holt Mathematics
36
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
Practice A
3-5 Equations, Tables, and Graphs
Holt Mathematics
Practice B
3-5 Equations, Tables, and Graphs
1. A tub is being filled with water. The equation g 5m shows
the number of gallons, g, in the tub after m minutes. Use
the equation to complete the table. Then sketch a graph of
the equation.
1. The amount of water in a tank being filled is represented by the
equation g 20m, where g is the number of gallons in the tank
after m minutes. Make a table and sketch a graph of the
equation.
m
5m
g
0
5(0)
5(1)
5(2)
5(3)
5(4)
0
5
10
15
20
1
2
3
4
80
60
y
0
2
2
4
4
6
6
8
20m
g
0
20(0)
20(1)
20(2)
20(3)
20(4)
0
20
40
60
80
40
1
20
2
0
3
1 2 3 4
Time (minutes)
4
y
2. Use the table to make a graph
and to write an equation.
x
m
10
8
10
80
60
40
20
0
6
16
1
6
x
0
2
5
8
12
14
1
4
y
4
6
9
12 16
10
1
0
12
12
8
4
2
yx2
4 2 O
2
4
6
yx4
x
4
2 4 6 8 10 12
2
4
4 2
2O
x
2 4 6 8 10
0 12
2
3. Use the graph to make a table and to write an equation.
3. Use the graph to make a table and to write an equation.
y
y
5
x
4
y
0
0
1
1
2
2
3
3
4
4
3
15
1
5
x
12
1
2
y
0
0
1
3
2
6
3 4
9 12
9
yx
2
1
2 1 O
1
2
1 2 3 4
Time (minutes)
y
2. Use the table to make a graph
and to write an equation.
12
8
Water (gallons)
LESSON
Water (gallons)
LESSON
3
2
2
1 2 3 4 5
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37
Copyright © by Holt, Rinehart and Winston.
y 3x
6
x
Holt Mathematics
6
x
1 2 3 4 5
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
61
38
Holt Mathematics
Holt Mathematics