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WorksheetsModule 12 Review Relationships in Two Variables
Total questions: 100
Worksheet time: 3hrs 17mins
Name
Class
Date
1.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
2.
How many quadrants or sections are in a coordinate plane?
a)
1
b)
2
c)
3
d)
4
3.
The __ - axis is vertical in the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
4.
The __ - axis is the horizontal axis of the coordinate plane.
a)
X
b)
Y
c)
Z
d)
None of the above
5.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
6.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
7.
If you were to plot the point (4, -12) what would be the correct method?
a)
Up 4, left 12
b)
Right 4, up 12
c)
Down 4, left 12
d)
Right 4, down 12
8.
On the coordinate plane, which line is the x-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
9.
On the coordinate plane, which line is the y-axis?
a)
Horizontal Line (Side to Side)
b)
Vertical Line (Up and Down)
10.
What is the ordered pair for point A?
a)
( 2, 0)
b)
( 0 , 2)
c)
(0, -2)
d)
(-2,0)
11.
What is the ordered pair for point T?
a)
(3, 3)
b)
(3, -3)
c)
(-3, -3)
d)
(- 3, 3)
12.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
13.
Where is point A located?
a)
( 7 , 2 )
b)
( 2 , 6 )
c)
( - 2 , 7 )
d)
( 2 , 7 )
14.
Which number in the ordered pair, (-4, 5) represents the x-value?
a)
-4
b)
5
15.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
16.
When plotting the point, (-4, 3), which describes the movement along the x-axis and y-axis in the correct order?
a)
4 units right then 3 units up
b)
4 units down then 3 units left
c)
4 units left then 3 units up
d)
4 units up then 4 units right
17.
Which number represents the second number in an ordered pair?
a)
X
b)
Y
c)
T
d)
G
18.
Which letter represents the first number in an ordered pair?
a)
X
b)
Y
c)
T
d)
G
19.
When plotting the point, (-4, 3), which describes the movement along the x-axis and y-axis in the correct order?
a)
4 units right then 3 units up
b)
4 units down then 3 units left
c)
4 units left then 3 units up
d)
4 units up then 4 units right
20.
In the ordered pair, (7, -7), first I would move ____ then ____.
a)
Left, Down
b)
Left, Up
c)
Right , Up
d)
Right , Down
21.
If you were to plot the point (5, -2) what would be the correct method?
a)
Up 5, left 2
b)
left 5, Down 2
c)
Down 5, left 2
d)
Right 5, down 2
22.
What is the ordered pair for C?
a)
(-6, 7)
b)
(2, -4)
c)
(-8, 2)
d)
(2, -8)
23.
How far away is the concession stand from the rides?
a)
10 units
b)
9 units
c)
11 units
d)
12 units
24.
How far are the Animal Barns from the Entrance?
a)
8 units
b)
9 unis
c)
10 units
d)
7 units
25.
Which quadrant contains the point named by (2, -5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
26.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
27.
In which quadrant is the following point?
(-3, 12)
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
28.
The axes divide the coordinate plane into four sections called what?
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
29.
Name the quadrant where POINT A is located.
a)
Quadrant I
b)
Quadrant IV
c)
No Quadrant
d)
Quadrant II
30.
Name the quadrant where POINT C is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
No Quadrant
31.
Name the quadrant where POINT B is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
32.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
33.
How many quadrants are in a coordinate plane?
a)
1
b)
2
c)
3
d)
4
34.
What are the coordinates for the origin on a coordinate plane?
a)
(0)
b)
(1,1)
c)
(0,0)
d)
(0,1)
35.
Find the area
a)
4 units
b)
6 units
c)
24 units
d)
28 units
36.
Paco's daughter will be participating in an upcoming dance recital. She will require a different costume for each dance she plans to performs.
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
c = the number of costumes Paco's daughter will require
d = the number of dances Paco's daughter plans to perform
Which of the variables is independent?
a)
c
b)
d
37.
Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.
t = the number of treats
s = the number of students
Which of the variables is independent?
t = the number of treats
s = the number of students
Which of the variables is independent?
a)
s
b)
t
38.
Carey and Justin are raising money to purchase books for their school's library. The more money they raise, the more books they will be able to purchase for the library.
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?
m = the amount of money Carey and Justin raise
b = the number of books Carey and Justin will be able to purchase
Which of the variables is dependent?
a)
m
b)
b
39.
Sarah is participating in a walkathon to raise money for local literacy programs. The amount of money Sarah will raise depends on the distance she walks.
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
m = the amount of money Sarah will raise
d = the distance Sarah walks
Which of the variables is dependent?
a)
m
b)
d
40.
In order to earn extra money on the weekends, Josie's string quartet performs at wedding receptions. The longer the reception, the more money they earn.
r = the length of the reception
m = the amount of money Josie's quartet earns
Which of the variables is independent?
r = the length of the reception
m = the amount of money Josie's quartet earns
Which of the variables is independent?
a)
r
b)
m
41.
In order to earn extra spending money, Dalton babysits children after school. The greater the number of hours he babysits, the more money he earns.
h = the number of hours Dalton babysits
m = the amount of money Dalton earns
Which of the variables is dependent?
h = the number of hours Dalton babysits
m = the amount of money Dalton earns
Which of the variables is dependent?
a)
h
b)
m
42.
In the United States House of Representatives, the number of Representatives from a state is calculated based on its population.
r = the number of Representatives
p = the population of a state
Which of the variables is independent?
r = the number of Representatives
p = the population of a state
Which of the variables is independent?
a)
r
b)
p
43.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
44.
a)
The dependent variable is total cost
b)
The dependent variable is weight
c)
The independent variable is total cost
d)
The independent variable is cost of a package
45.
Priya streams movies through a company that charges her a $5 monthly fee plus $1.50 per movie What is the dependent variable?
a)
the number of movies she rents
b)
the company that she rents from
c)
the money it costs
d)
There isn't one
46.
Kira designs websites. She can create three different websites each week. Kira wants to create an equation that will give her the total number of websites she can design given the number of weeks she works.
What is the independent vairble
What is the independent vairble
a)
the number of websites she makes
b)
the number of weeks
c)
the design of the website
d)
there isn't one
47.
A food service worker earns $12 per hour. How much money, m, does the worker earn on a shift of h hours? Identify the dependent variable.
a)
money
b)
hours
48.
A large 2-topping pizza, L, costs $2 more than a medium 3-topping pizza, m. What is the independent variable?
a)
L, large pizza
b)
M, medium pizza
49.
On a graph, which axis shows the independent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
50.
On a graph, which axis shows the dependent variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
51.
Time is the _____________ variable.
a)
dependent
b)
independent
52.
A(n) _____________ variable depends on or is changed by another variable.
a)
dependent
b)
independent
53.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
54.
Which equation matches the table?
a)
y = x
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
55.
What algebraic equation shows the relationship between the independent and dependent variables?
a)
y = ax
b)
y = x + 12
c)
y = -3x
d)
y =
56.
What is the algebraic equation for this table?
a)
y = 480x
b)
x = y/480
c)
x + 480 = y
d)
480 - x = y
57.
What are the independent quantities in the table?
a)
{5,6,7,8,9}
b)
{0,1,2,3,4}
c)
x
d)
y
58.
What are the dependent quantities from the table?
a)
{-3, -2, -1, 0, 1, 2, 3}
b)
{9, 6, 3, 0, -3, -6, -9}
c)
x
d)
y
59.
Solve for x:
a)
x = 20
b)
x = 7
c)
x = 10
d)
x = 3
60.
Solve for x:
4x = 44
4x = 44
a)
x = 40
b)
x = 11
c)
x = 48
d)
x = 176
61.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
62.
What is the value of the missing output?
a)
44
b)
42
c)
30
d)
36
63.
What rule would explain this input output table?
a)
The output is 3 times as much as the input.
b)
The input is 3 times as much as the output.
c)
The output is 8 times as much as the input.
d)
The input is 8 times as much as the output.
64.
What is the rule?
a)
Multiply by 2
b)
Multiply by 3
c)
Add 3
d)
Add 4
65.
What is the INDEPENDENT variable?
a)
distance
b)
25
c)
time
d)
there isn't one
66.
What is the DEPENDENT variable?
a)
total cost
b)
weight
c)
0.3
d)
there isn't one
67.
On a graph, which axis shows the INDEPENDENT variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
68.
On a graph, which axis shows the DEPENDENT variable?
a)
x-axis
b)
y-axis
c)
neither
d)
it changes
69.
a)
the independent variable is distance
b)
the independent variable is d=25 t
c)
the dependent variable is time
d)
the dependent variable is distance
70.
a)
The output is: s+3
b)
The output is: s-1
c)
The output is: s-3
d)
The output is: s ÷ 2
71.
Which equation matches the table?
a)
y = x
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
72.
What algebraic equation shows the relationship between the independent and dependent variables?
a)
y = ax
b)
y = x + 12
c)
y = -3x
d)
y =
73.
What is the algebraic equation for this table?
a)
y = 480x
b)
x = y/480
c)
x + 480 = y
d)
480 - x = y
74.
What are the dependent quantities from the table?
a)
{-3, -2, -1, 0, 1, 2, 3}
b)
{9, 6, 3, 0, -3, -6, -9}
c)
x
d)
y
75.
Your independent variable is graphed on which axis?
a)
x-axis
b)
y-axis
c)
origin
76.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
77.
Write the equation.
a)
t=10d
b)
t=d-9
c)
t=10-d
d)
d=t+10
78.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
79.
Greg gets paid $6 an hour working in a garden. Use the equation m=6h, where m is the money he makes, and h is the hours he works. How much money does he make if he works 9 hours?
a)
$15
b)
$3
c)
$54
d)
$53
80.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
81.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
82.
I paid $15.00 for 6 gallons of gasoline.
What was the price PER gallon?
What was the price PER gallon?
a)
$0.40
b)
$9.00
c)
$2.50
d)
$0.90
83.
Evaluate the expression (53 - 4) ÷ 11
a)
11
b)
1
84.
Evaluate the expression 34
a)
12
b)
18
c)
27
d)
81
85.
Which graph represents the table?
x | y
1 | 2
0 | 4
3 | -2
a)
a
0 | 4
2 | 8
a
b)
b
c)
c
d)
d
86.
Write an equation that represents the relationship between the variables in the table.
a)
t=10d
b)
t=d-9
c)
t=10-d
d)
d=t+10
87.
Nancy can type 50 words per minute. Look at the table below to write an equation that matches the data.
a)
m=50 + w
b)
w= 50m
c)
w= 50 + m
d)
m= 50 - w
88.
Greg gets paid $6 an hour working in a garden. Use the equation m=6h, where m is the money he makes, and h is the hours he works. How much money does he make if he works 9 hours?
a)
$15
b)
$3
c)
$54
d)
$53
89.
For every one A Dede gets on her homework, her parents give her $3. Which equation matches this scenario? Use m for money she makes, and A for the number of A's she gets on her homework.
a)
m= 3 + A
b)
m= 3A
c)
m= A + 3
d)
none of the these
90.
What is the missing value of the table based on patterns?
a)
25
b)
50
c)
75
d)
27
91.
Daniel is asked to input 3 into the equation in the place of x. The equation is y=2 +4x. He solved by doing the following:y= 2 + 4(3)y= 6(3)y=18Is Daniel right?
a)
yes
b)
no
92.
Use the equation m = 8 + d for find how old Mary (m) is if David (d) is 10 years old.
a)
80 years old
b)
1 year old
c)
15 years old
d)
18 years old
93.
Look at the table below. Write an equation to match the pattern between m, minutes and bubbles blown, b.
a)
b = 12(m)
b)
b= m +12
c)
b = m ÷ 12
d)
none of these
94.
What is the pattern in the table below?
a)
multiplying the number of shots by 3
b)
adding 3 to the number of shots
c)
adding 1 to the number of shots
d)
dividing the number of shots by 3
95.
Changes in the _________ variable causes changes in the _________ variable.
a)
independent; dependent
b)
dependent; independent
96.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
97.
What is the algebraic equation for this table?
a)
y = x + 3
b)
y = 3x
c)
y = x ÷ 3
d)
y = x - 3
98.
Which equation matches the table?
a)
y = x
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
99.
What algebraic equation shows the relationship between the independent and dependent variables?
a)
y = ax
b)
y = x + 12
c)
y = -3x
d)
y =
100.
What is the algebraic equation for this table?
a)
y = 480x
b)
x = y/480
c)
x + 480 = y
d)
480 - x = y
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