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WorksheetsProportional and Nonproportional relationships
Total questions: 64
Worksheet time: 4hrs 51mins
Name
Class
Date
1.
Write an equation for this relationship.
a)
y=18x
b)
y=18.50x
c)
y=22.50x
d)
y=22x
2.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
3.
In the equation y = 14x, what is the constant of proportionality?
a)
y
b)
x
c)
14
4.
Write an equation for this relationship.
a)
y=1/5x
b)
y=1/2x
c)
y=2x
d)
y=5x
5.
What is the unit rate in this proportional relationship?
a)
60 miles/1 hour
b)
120 miles/ 2 hours
c)
1 mile/ 1 hour
6.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
7.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
8.
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)
$200 is earned after working 3 hours
9.
What is the missing value for x?
a)
21
b)
27
c)
30
d)
45
10.
What is rate of change?
a)
The amount of money you get back when you overpay for something.
b)
Describes how one quantity changes in relation to another quantity
c)
The amount of one quantity multiplied by another quantity
d)
How much someone changes over their lifetime
11.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
12.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
13.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
14.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
15.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2/1
d)
-2/1
16.
What type of slope does the graph have?
a)
Positive
b)
Negative
c)
Zero Slope
d)
Undefined
17.
What type of slope does the graph have?
a)
Zero
b)
Undefined
c)
Negative
d)
Positive
18.
Find the slope of these two points:
C (2,5) D(3,1)
C (2,5) D(3,1)
a)
4
b)
-2
c)
-4
d)
2
19.
Determine the slope.
a)
m=3/2
b)
m=6
c)
m=-3/2
d)
m=1/6
20.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
21.
Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.
a)
Dan
b)
David
22.
Determine Danny's unit rate.
a)
2 cans per week
b)
5 cans per week
c)
10 cans per week
d)
20 cans per week
23.
Find the unit rate: $3.60 for 3 pounds of apples. How much does it cost for 1 pound of apples?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
24.
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
25.
What is Brad's slope/unit rate in terms of sit-ups?
a)
1 sit-up per day
b)
5 sit-ups per day
c)
15 sit-ups per day
d)
15 days per 1 sit-up
26.
At what rate did the rain fall?
a)
2 cm per hour
b)
1/4 cm per hour
c)
1/2 cm per hour
d)
4 cm per hour
27.
John traveled 567 miles in 9 hours. Write the unit rate.
a)
62 mph
b)
60 mph
c)
61 mph
d)
63 mph
28.
20 inches of snow fell over 5 hours. What equation represents the amount of snow(y) that fell per hour(x)
a)
y = 20x
b)
y = 5x
c)
y = 4x
d)
y = 10x
29.
Identify the slope and y-intercept in the following equation.
y = 5x + 12
m = ?
b = ?
y = 5x + 12
m = ?
b = ?
a)
b = 5
m = 12
m = 12
b)
b = 12
m = 5
m = 5
30.
What is the slope of the following table?
a)
1/2
b)
2
31.
Find the slope and the y-intercept of the line. Remember to use rise/run.
a)
m = 1
b = -1
b = -1
b)
m = 2
b = 1
b = 1
32.
Find the slope and y-intercept for the following table.
a)
m = 2
b = -1
b = -1
b)
m = 1/2
b = 1
b = 1
33.
What is the slope of the line?
a)
1/3
b)
-3
c)
-1/3
34.
Is the graph proportional or non proportional?
a)
proportional
b)
non proportional
35.
Which graph is proportional?
a)
A
b)
B
c)
C and D
d)
All of the graphs are proportional
36.
Which graph is non-proportional?
a)
A
b)
B
c)
C
d)
D
37.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
38.
What is the y-intercept for the following table and is it proportional or non-proportional?
a)
Proportional, y-intercept is 0
b)
Non-proportional, y-intercept is 0
c)
Proportional, slope is 0
d)
Non-proportional, slope is 0
39.
Bob has $150 in his savings account and saves $40 per month.
a)
150 + 40
b)
40x + 150
c)
150x + 40
40.
Write an expression for the following. Jerry has $20 and makes $7 per hour.
a)
7x + 20
b)
7 + 20x
c)
20 + 7
41.
Which equation best represents the relationship between x and y in the table shown?
a)
y= 5x+5
b)
y=1/5x+5
c)
y=15x+5
d)
y=10x+5
42.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
43.
Give the equation for the graph
a)
y = 5x - 3
b)
y = 4x + 2
c)
y =-2x + 5
d)
y = - 2x + 4
44.
Graph. y = 2/3x - 3
a)
a
b)
b
c)
c
d)
d
45.
Graph. y = 2/5x
a)
a
b)
b
c)
c
d)
d
46.
Write the equation of the line with a slope of -5/4 and a y-intercept of 2.
a)
a
b)
b
c)
c
d)
d
47.
Given the table, write the equation in the slope-intercept form.
a)
y = 1/3x + 6
b)
y = 3x + 6
c)
y = 2x + 6
d)
y = 1/2x + 6
48.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
49.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
50.
a)
Function
b)
Not a Function
51.
Is this mapping a function or not a function?
a)
Function
b)
Not a Function
52.
Is this table a function or not a function?
a)
Function
b)
Not a Function
53.
Is this set of ordered pairs a function or not a function?
a)
Function
b)
Not a Function
54.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
55.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
56.
Is this graph a function or not a function?
a)
Function
b)
Not a Function
57.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
58.
Which company should you use if you rent the raft for 9 hours?
a)
Water's Edge Rafts
b)
Ryan's Rafts
59.
Which company pays the most per pizza?
a)
Bombinoe's Pizza
b)
Little Squeezer's Pizza
c)
Pizza Tent
d)
Papa Ron's
60.
What is happening in this graph from point B to C?
a)
The object is going down a hill.
b)
The object is returning to its starting location.
c)
The object is slowing down.
d)
The object is staying still.
61.
What is happening in this graph from point A to B?
a)
The object is accelerating.
b)
The object is not moving.
c)
The object is decelerating.
d)
The object is moving at a constant speed.
62.
Describe the situation.
a)
Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.
b)
Sales stay constant, then decrease at a constant rate, and increase slowly.
63.
Describe the situation.
a)
The volume of the balloon increases at a constant rate, then stays constant, then increases, then constant, and increases at a constant rate.
b)
The volume of the balloon increase at a constant rate, decreases, then stays constant, then increases, then constant, and increases at a constant rate.
64.
The distance-time graphs shown represent the motion of a car. Which of the following graphs represents the car at constant speed?
a)
graph A
b)
graph B
c)
graph C
d)
graph D
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