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Worksheetsk Constant rate of change, proportionality, x and y points, graphs, tables, equations
Total questions: 60
Worksheet time: 3hrs 2mins
Name
Class
Date
1.
Which quadrant contains the point named by (2, 5)?
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
2.
In which quadrant is the following point?
(-3, 12)
(-3, 12)
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
3.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
4.
Where is point E located?
a)
( 2, 0 )
b)
( 2 , 2 )
c)
( 0 , 2 )
d)
( 0 , 0 )
5.
The axes divide the coordinate plane into four sections called what?
a)
ordered pairs
b)
origins
c)
quadrants
d)
coordinate plane
6.
a)
I
b)
IV
c)
III
d)
II
7.
Name the quadrant where POINT A is located.
a)
Quadrant I
b)
Quadrant IV
c)
No Quadrant
d)
Quadrant II
8.
Name the quadrant where POINT B is located.
a)
Quadrant I
b)
Quadrant II
c)
Quadrant III
d)
Quadrant IV
9.
Give the coordinates for POINT H.
a)
(-1, 2)
b)
(1, -2)
c)
(-1, -2)
d)
(1 , 2)
10.
Which letter matches the coordinate (0, -6)?
a)
O
b)
L
c)
i
d)
Z
11.
The coordinate plane is divided by a horizontal number line called what?
a)
y-axis
b)
origin
c)
x-axis
d)
quadrant
12.
The vertical number line in the coordinate plane is called what?
a)
y-axis
b)
origin
c)
quadrant
d)
x-axis
13.
The coordinates for the origin in the coordinate plane are________?
a)
(1,1)
b)
(0,0)
c)
(0,1)
d)
(1,0)
14.
A graph has the equation y=14x. Which of the following is the constant of proportionality?
a)
14
b)
x
c)
y
d)
1/14
15.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
16.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
17.
A proportional relationship can be written as an equation in the form ____ = _____ _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
18.
What is the equation that represents this relationship?
a)
y = 1/4x
b)
y = 1/2x
c)
y = 2x
d)
This is not a proportional relationship.
19.
What is the equation that represents this relationship?
a)
y = 1/12x
b)
y = 12x
c)
y = 0.6x
d)
This is not a proportional relationship.
20.
What is the equation that represents this relationship?
a)
y = 1/3x
b)
y = 3x
c)
y = 2/3x
d)
This is not a proportional relationship.
21.
What is the equation that represents this relationship?
a)
y = 1/14x
b)
y = 14x
c)
y = 7x
d)
This is not a proportional relationship.
22.
Based on the graph, Which of the following statements is TRUE?
a)
I drove 80 miles every 4 hours
b)
I drove 160 miles in an hour
c)
I drove 80 miles every 2 hours
d)
I drove 240 miles in 4 hours
23.
Based on the graph, which of the following is true?
a)
It costs $1.50 per kilometer
b)
It costs $2.50 per kilometer
24.
Write the equation for the table.
a)
y = x + 4
b)
y = 5x
c)
y = 4x + 1
d)
y = x + 5
25.
Name the INDEPENDENT variable from the table below.
a)
words
b)
minutes
26.
Name the DEPENDENT variable from the table below.
a)
minutes
b)
bubbles
27.
What is a Ratio?
a)
A comparison of two quantities
b)
To multiply two fractions
c)
A number over another number
d)
Two decimals that can be multiplied
28.
REVIEW QUESTION
Is this table proportional or non-proportional?
Is this table proportional or non-proportional?
a)
Proportional
b)
Non-Proportional
c)
both
d)
neither
29.
Which statement best describes the relationship between x and y in the table?
a)
Proportional
b)
Not Proportional
30.
This is a table with a proportional relationship between A and B. Find the missing value of B.
a)
33
b)
44
c)
32
d)
48
31.
What is the constant of proportionality?
a)
15
b)
5
c)
75
d)
25
32.
Using the table above, determine which statement is correct.
a)
The table is proportional and the unit rate is 100.
b)
The table is not proportional because the unit rate is not constant.
c)
The table is not proportional because it doesn't pass through the origin.
d)
The table is proportional and the unit rate is 0.01.
33.
The number of trees and the number of apples are given in the table above. Determine which statement below is correct.
a)
The table is not proportional because the unit rate is not constant.
b)
The table is proportional and the unit rate is 1/13
c)
The table is proportional and the unit rate is 13.
d)
The table is not proportional because it doesn't pass through the origin.
34.
What is the constant ratio or constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
35.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
36.
Is this graph proportional?
a)
Yes
b)
No
37.
What makes a graph proportional?
a)
Linear
b)
The line goes through the origin
c)
Curvy line
d)
Linear and the line goes through the origin
38.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
39.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
40.
Does this graph represent a proportional relationship?
a)
Yes
b)
No
41.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
42.
What ratio is equivalent to 4:5? Select all that apply.
a)
8:10
b)
20:25
c)
5:6
d)
1:5/4
43.
What is the reciprocal of 7?
a)
1/2
b)
7/1
c)
2
d)
1/7
44.
If Justin can type 408 words in 4 minutes, how many words can he type per minute?
a)
102 words per minute
b)
100 words per minute
c)
400 words per minute
d)
412 words per minute
45.
Solve for x
a)
x = 1/10
b)
x = 10
c)
x = 4
d)
x = 5
46.
What is the constant rate of change between the quantities in the table?
a)
$1 per hour
b)
$40 per hour
c)
$5 per hour
d)
$10 per hour
47.
What is the constant rate of change between the quantities in the table?
a)
-20 gal per minute
b)
-2 gal per minue
c)
2 gal per minute
d)
20 gal per minute
48.
A rate that describes how a quantity changes in relation to another quantity is _________________.
a)
the rate of change
b)
a proportion
c)
a unit rate
49.
A statement that two rates or ratios are equivalent is a ______________.
a)
Rate of change
b)
Proportion
c)
Unit Rate
50.
What is the rate of change in the table?
a)
3
b)
2
c)
2/3
d)
3/2
51.
Is the table linear or non-linear?
a)
Linear
b)
Non-Linear
52.
The table below is proportional.
x 2 5 9 13
y 1 2.5 4.5 6.5
The constant of proportionality is ______. The equation is ___ = ____ ____
x 2 5 9 13
y 1 2.5 4.5 6.5
The constant of proportionality is ______. The equation is ___ = ____ ____
a)
1/2; y = 1/2x
b)
2; y = 2x
c)
1; y = 1x
d)
3; y = 3x
53.
What is the rate of change in the table?
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
54.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$200 earned for every 2 hours worked
is the unit rate
is the unit rate
c)
$500 is earned for every 8 hours worked
d)
$300 is earned after working 4 hours
55.
The constant of proportionality in the equation y = ½x is _______.
a)
x
b)
y
c)
1/2
d)
2
56.
A proportional relationship can be written as an equation in the form ____ = _____ _____
a)
y = k+x
b)
y = k-x
c)
y = kx
d)
y = k/x
57.
Determine the missing value in the table.
a)
15
b)
3
c)
1/3
d)
9
58.
Identify the constant of proportionality.
a)
k = 2x
b)
k = 2
c)
k = 4
d)
none (not proportional)
59.
Which best describes the graph represented in this table?
a)
proportional
b)
non-proportional
60.
What is the equation?
a)
y=x/4
b)
y=4x
c)
y= x + 4
d)
y = x - 4
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