Worksheets5: Chapter 9 Relationships Between Variables
Total questions: 40
Worksheet time: 2hrs 13mins
Name
Class
Date
1.
Mr. Ramierz is filling his swimming pool with water. The table shows the number of gallons of water w in the swimming pool after t minutes. If the pattern in the table continues, how many gallons of water w will be in the pool after 10 minutes?
a)
6 gallons
b)
69 gallons
c)
600 gallons
d)
2,400 gallons
2.
Colton earns $9 per hour mowing lawns. The total amount earned t equals the amount earned per hour times the number of hours h. Which equation gives the total amount earned t if Kenneth works h hours?
a)
t = 9h
b)
h = 9t
c)
t = 9 + h
d)
h = 9 + t
3.
The graph shows the distance y a cyclist traveled over a period of time x in hours. Which linear equation represents the relationship shown by the graph?
a)
y = x + 19
b)
y = x + 20
c)
y = x ÷ 20
d)
y = 20x
4.
The table shows the number of people n seated in each section of the gym depending on the total number of people p in the gym. Which equation could be used to find the number of people n that are seated in each section of the gym?
a)
n = 3p
b)
n = p ÷ 3
c)
n = p - 6
d)
n = p - 12
5.
How many people n would be seated in each section if there were 27 total people in the gym?
a)
7
b)
8
c)
9
d)
10
6.
The table shows the total charges c for an overdue library book after d days. If the pattern in the table continues, what is the total charge c for an overdue library book after 12 days?
a)
$0.40
b)
$0.64
c)
$0.88
d)
$0.96
7.
For what number of days d will the total charges for an overdue library book be $2.40?
a)
30
b)
24
c)
8
d)
5
8.
The linear equation y = 5x represents the cost y in dollars of x pounds of dog food. Which ordered pair lies on the graph of the equation?
a)
(3,15)
b)
(3,10)
c)
(2,3)
d)
(2,12)
9.
Brilee drives at a rate of 60 miles per hour. She lets x represent the time in hours and y represent the number of miles driven. Which ordered pair is a point on the graph of the relationship?
a)
(60,1)
b)
(4, 240)
c)
(3, 120)
d)
(2, 60
(2, 60)
(2, 60)
10.
Meg wants to rent a bike. Bike rental costs $1.25 per hour plus a one-time fee of $3. Which equation represents the relationship between the number of hours h Meg rents the bike and the total cost c?
a)
h = 1.25c + 3
b)
c = 1.25h + 3
c)
h = 3c + 1.25
d)
c = 3h + 1.25
11.
DVDs cost $15 each. Porter graphs the relationship that gives the cost y in dollars of buying x DVDs. Which ordered pair is a point on the graph of the relationship?
a)
(0,15)
b)
(2,3)
c)
(3,45)
d)
(15,3)
12.
The linear equation y = 10x represents the total number of points y scored on a quiz if x questions are correct. Which ordered pair lies on the graph of the equation?
a)
(10,1)
b)
(7,70)
c)
(5,2)
d)
(4,15)
13.
Kady purchases a gallon of milk for $3 and some tomatoes for $2 per pound from the grocery store. Which equation represents the relationship between the number of pounds p of tomatoes purchased and the total amount a Kady spent at the grocery store?
a)
p = 3a + p
b)
a = 3p + 2
c)
p = 2a + 3
d)
a = 2p + 3
14.
Posters cost $7 each. Adrian graphs the relationship that gives the cost y in dollars of buying x posters. Which ordered pair is a point on the graph of the relationship?
a)
(3,10)
b)
(5, 15)
c)
(8, 52)
d)
(9, 63)
15.
A bowling alley charges $1.50 for shoes rental and $2 per game. The table shows the total cost y of bowling x games. Which equation could be used to find the total cost y of bowling x games?
a)
y = 2x+1.5
b)
y = 1.5x + 2
c)
y = x + 2
d)
y = x + 1.5
16.
What is the total cost y of bowling 3 games?
a)
$7.50
b)
$6.50
c)
$5.00
d)
$4.50
17.
Stan reads 3 books each month. Which ordered pair is a point on the graph that shows the relationship between the total number of books y Stan reads in x months?
a)
(9,3)
b)
(5, 15)
c)
(4, 7)
d)
(3, 1)
18.
The table shows the amount of flour x that Megan uses for y dozen cookies. If the pattern in the table continues, how many cups of flour x does Megan use for 20 dozen cookies?
a)
6 cups
b)
7 cups
c)
17 cups
d)
24 cups
19.
Nathaniel earns $12 per hour at his summer job. The linear equation y = 12x represents his earnings y for x hours of work. Which ordered pair lies on the graph of the equation?
a)
(0, 12)
b)
(4, 16)
c)
(8, 96)
d)
(12, 1)
20.
Elijah uses a 20-dollar bill to purchase an item that costs x dollars. Which equation represents the amount of change y that he should receive from his purchase?
a)
y = 20 - x
b)
y = 20 + x
c)
x = 20 ÷ y
d)
x = 20y
21.
The cost to operate a printer per page printed is $0.20. The table shows the total cost c based on the number of pages p printed. What is the total cost c to operate the printer if 420 pages are printed?
a)
$60
b)
$84
c)
$470
d)
$670
22.
The linear equation y = 4x represents the number of pounds of clay y needed to make x bowls. Which ordered pair lies on the graph of the equation?
a)
(0,4)
b)
(2,2)
c)
(4,1)
d)
(6,24)
23.
Taya is charged a $5 rental fee and $2 per hour to rent skates. Which equation gives the total cost y in dollars for renting skates for x hours?
a)
y = 5x + 2
b)
y = 2x - 5
c)
y = 2x + 5
d)
y = 5x - 2
24.
Spencer uses 3 tickets for each ride at the county fair. Which equation models the total number of tickets t he uses for r rides?
a)
r = 3t
b)
t = 3r
c)
t = 3 + r
d)
r = 3 + t
25.
Spencer uses 3 tickets for each ride at the county fair. Which equation models the total number of tickets t he uses for r rides?
a)
r = 3t
b)
t = 3r
c)
t = 3 + r
d)
r = 3 + t
26.
Which variable is the dependent variable?
a)
Weeks
b)
Account Balance
27.
Using the equation below, what is the value of y if x = 12?
y = 6x
a)
18
b)
2
c)
6
d)
72
28.
When the independent variable has a value of 6, what is the value of the dependent variable?
a)
60
b)
210
c)
4
d)
180
29.
Identify the independent variable.
a)
Cost
b)
Bushels
c)
Dollars
d)
Farm
30.
Which equation can be used to represent the table?
a)
x = y + 6
b)
x = 7y
c)
y = x + 6
d)
y = 7x
31.
Using the table and the equation from the previous question, what is the value of y if x = 5?
a)
25
b)
32
c)
35
d)
40
32.
Identify the dependent variable based on the graph.
a)
Bushels
b)
Corn
c)
Cost
d)
Farm
33.
Select the correct equation to represent the relationship between Cabrini and Niko's ages.
a)
x = y + 4
b)
y = x + 4
c)
y = x - 4
d)
x = y - 4
34.
On week 2, what will be Evan's Bank Account Balance?
a)
9
b)
6
c)
7
d)
4
35.
Which equation represents the graph?
a)
b = 3.2c
b)
C = 3.2b
c)
b = C + 3.2
d)
C = b + 3.2
36.
The y-axis on a graph represents what variable?
a)
Independent Variable
b)
Dependent Variable
37.
The x-axis on a graph represents which variable?
a)
Independent Variable
b)
Dependent Variable
38.
Which equation can be used to represent the table?
a)
y = 2x
b)
x = 2y
c)
y = x + 4
d)
x = y + 4
39.
Which equation matches the graph?
**Hint: Create a table with the x and y values**
a)
y = x + 20
b)
x = 20y
c)
y = 20x
d)
x = y + 20
40.
What is the independent variable?
a)
Laps
b)
Time
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