WorksheetsRate of Change and Linear Key Features
Total questions: 63
Worksheet time: 2hrs 40mins
Name
Class
Date
1.
Definition: the y-coordinate where the graph crosses the y-axis
a)
y-intercept
b)
y-axis
c)
slope
d)
zero
2.
Using the graph, find the rate of change
a)
4/3
b)
3/4
c)
-4/3
d)
-3/4
3.
Find the rate of change
a)
0
b)
undefined
c)
-3
d)
6
4.
Find the rate of change from the graph
a)
0
b)
undefined
c)
3
d)
-3
5.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
6.
Find the rate of change
a)
3
b)
-3
c)
20
d)
Not a constant slope/Non-Linear
7.
Find the rate of change
a)
-1/3
b)
-3
c)
1/3
d)
3
8.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
c)
They have the same rate of change.
d)
Cannot be determined
9.
When graphing the rate of change, we....
a)
Run then Rise
b)
Rise then Run
c)
Rise then Rise
d)
Run far away.
10.
Which of the following are ways to find the rate of change?
a)
change in y over change in x
b)
rise over run
c)
subtract y coordinates over subtract x coordinates
d)
all of the above
11.
Dev keeps a record in graph form of how far his car travels and the number of gallons of gasoline it uses.
What is the rate of change?
What is the rate of change?
a)
64
b)
128
c)
32
d)
16
12.
What is the rate of change for the table?
a)
1/3
b)
3/7
c)
7/3
d)
3
13.
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
14.
A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is the average rate of change?
a)
200
b)
150
c)
300
d)
75
15.
Which of the following equations represents the total cost, C, for the number of sandwiches, S, where each sandwich costs $7?
a)
S = 7c
b)
C = 7s
c)
S = 7/c
d)
C = s/7
16.
At 0 seconds, Mrs. Taylor was 10 feet off the ground. At 5 seconds, she was 20 feet off the ground. Which equation represents the situation?
a)
y = 10x + 10
b)
y = 10x + 2
c)
y = 2x + 10
d)
y = 5x + 10
17.
What is slope intercept form?
a)
y = kx
b)
y - y1 = m (x - x1)
c)
y = mx + b
d)
Ax + By = C
18.
Conner has $25,000 in his bank account. Every month he spends $1,500. He does not add money to the account.
Write a linear model that shows how much money will be in the account after x months.
Write a linear model that shows how much money will be in the account after x months.
a)
y = 25000x - 1500
b)
y = 25000 - 1500
c)
y = 1500x + 25000
d)
y = -1500x + 25000
19.
Which equation matches the graph?
a)
y = 2x + 3
b)
y = -3
c)
y = 2x - 3
d)
y = -3x + 2
20.
a)
Rachel pays $0.25 for each minute she exceeds her plan.
b)
Rachel pays $0.50 for each minute she exceeds her plan.
c)
Rachel pays $1.00 for each minute she exceeds her plan.
d)
Rachel pays $4.00 for each minute she exceeds her plan.
21.
a)
The relationship is proportional and can be represented as C = (1/4)a
b)
The relationship is proportional and can be represented as C = 4a
c)
It is NOT proportional.
d)
The relationship is proportional and can be represented as C = (1/5)a
22.
a)
It is proportional. For every 3 bottles that are thrown away, 10 are recycled.
b)
It is proportional. For every 10 bottles that are thrown away, 3 are recycled.
c)
It is NOT proportional. There is not a direct relationship between the bottles thrown away and the number recycled.
23.
a)
$2.00 per page
b)
$0.20 per page
c)
$0.25 per page
d)
$0.50 per page
24.
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
25.
a)
The graph is a straight line with a positive slope.
b)
The graph is a straight line that passes through the origin.
c)
The graph is a straight line that passes through (1, 12.5)
d)
The graph is a straight line with no negative x- or y-values
26.
If our linear equation is y = x + 4, which of the following would be correct points?
a)
(9,8)
(10,11)
(14,19)
(0,2)
(10,11)
(14,19)
(0,2)
b)
(-1, 5)
(0,4)
(1,3)
(2,2)
(0,4)
(1,3)
(2,2)
c)
(-1,3)
(0,4)
(1,5)
(2,6)
(0,4)
(1,5)
(2,6)
d)
(-1,3)
(0,4)
(1,2)
(2,4)
(0,4)
(1,2)
(2,4)
27.
Which equation represents the table?
a)
y = 17x + 2
b)
y = 17x - 2
c)
y = 17 - 2x
d)
y = 17 + 2x
28.
Find the rate of change
a)
-25
b)
25
c)
-5
d)
Not a constant slope/Non-Linear
29.
Which equation represents the table?
a)
y = 9x + 61
b)
y = -9x + 61
c)
y = -3x + 61
d)
y = 3x + 61
30.
Find the rate of change
a)
2.1
b)
3
c)
6.3
d)
Not a constant slope/Non-Linear
31.
Which equation best represents the table?
a)
y = -5x
b)
y = 5x
c)
y = 5x + 5
d)
y = 25x
32.
Find the rate of change
a)
2.6
b)
5.2
c)
0
d)
Not a constant slope/Non-Linear
33.
Which equation best represents the table?
a)
y = 8x + 2
b)
y = 2x + 8
c)
y = 2x
d)
y = x + 8
34.
Find the rate of change
a)
4
b)
16
c)
41
d)
Not a constant slope/Non-Linear
35.
Find the rate of change
a)
4
b)
-4
c)
-2
d)
Not a constant slope/Non-Linear
36.
Which panda will weigh more at 5 weeks?
a)
Mochi
b)
Kappa
c)
They will weigh the same amount.
d)
Cannot be determined
37.
Find the rate of change for this equation.
a)
3/2
b)
-2/3
c)
-1
d)
-3/2
38.
Determine the rate of change and y-intercept from the following equation: y = (3/2)x + 3
a)
slope: 2/3 y-intercept: (0,3)
b)
slope: 3/2 y-intercept: (0,3)
c)
slope: 3/2 y-intercept: (3,0)
d)
slope: 3 y-intercept: (1.5,0)
39.
What is the y-intercept in the following equation: y = -4x - 5
a)
(0,-4)
b)
(-4,0)
c)
(-5,0)
d)
(0,-5)
40.
What is the rate of change in the equation: y = 4x + 3
a)
3/1
b)
1/4
c)
4/1
d)
1/3
41.
What does "m" represent in y=mx+b?
a)
y-intercept
b)
rate of change
c)
maximum
d)
nothing
42.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
movement
c)
nothing
d)
rate of change
43.
How do you find the rate of change for a table?
a)
it's the first number
b)
whatever the x goes by
c)
whatever the y goes by
d)
change in y divided by change in x
44.
If a line has a slope of 2 and passes through the point (0,9), what is the equation?
a)
y = 9x + 2
b)
y = 0 + 2x
c)
y = 2x + 9
d)
y = 0x + 2
45.
Given the following table, write the equation.
a)
y=10x+12
b)
y = 1.2x + 20
c)
y = (10/12)x + 20
d)
y = 12x + 20
46.
What graph is y = -0.4x + 1
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
47.
What is the y-intercept?
a)
-1
b)
1
c)
2
d)
3
48.
What type of relationship has a CONSTANT RATE of CHANGE between two variables?
a)
Linear
b)
Exponential
c)
Inverse Variation
d)
Quadratic
49.
Which line has a negative rate of change?
a)
Yellow
b)
Red
c)
Blue
d)
Green
50.
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation that shows the total cost c of hitting b buckets of golf balls.
a)
c = 2.75b + 4
b)
c = 2.75b
c)
c = 4b- 2.75
d)
c = 2.75b - 4
51.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x
d)
y = 3x + 2.50
52.
What does the y-intercept represent in this graph?
a)
Every minute 60 students got off the bus.
b)
There were 60 students to start with on the bus ride.
c)
Each minute, 10 students got off the bus.
d)
60 students rode the bus every minute.
53.
Is the point (6,8) on the graph of y = 2x - 4?
a)
yes
b)
no, it's (6,4)
c)
no, it's (6,12)
d)
no, it's (6,10)
54.
Which equation matches this situation:
Cameron's lunch account started at $50. He withdrew $3 a day for lunch.
A = account $
d = day
Cameron's lunch account started at $50. He withdrew $3 a day for lunch.
A = account $
d = day
a)
d = $3A - 50
b)
A = 53d
c)
A = 50 - 3d
d)
A = 3d + 50
55.
Which equation matches this situation:
Declan has a walking rate of 2.1 meters per second and had a 10 meter head start
d = distance
t = time in seconds
Declan has a walking rate of 2.1 meters per second and had a 10 meter head start
d = distance
t = time in seconds
a)
d = 2.1t + 10
b)
d = 10t + 2.1
c)
d = 12.1t
d)
t = 2.1d + 10
56.
Which equation matches this situation:
Bob makes $3 an hour
h=hour
m=money earned
Bob makes $3 an hour
h=hour
m=money earned
a)
h = 3m
b)
m = 3h
c)
3mh
d)
h = m3
57.
Which statement is true about the proportional relationships A and B?
a)
Proportional Relationship A has the greater rate of change
b)
Proportional Relationship B has the greater rate of change
c)
Proportional Relationships A and B have the same rate of change
d)
There is not enough information
58.
Graph
y = (-3/2)x - 2
y = (-3/2)x - 2
a)
A
b)
B
c)
C
d)
D
59.
What does the rate of change tell you about this graph?
a)
He ate 2 cookies in 30 hours
b)
He ate 15 cookies every hour
c)
He ate 30 cookies every hour.
d)
He ate 1 cookie in 15 hours
60.
a)
Yes, in the equation 8 is the initial value
b)
No, in the equation 8 is the initial value
c)
No, in the equation 8 is the rate of change
d)
Yes, in the equation 8 is the rate of change
61.
a)
The cost in dollars of buying x items that cost $245 each
b)
The number of miles an airplane had traveled after flying 555 miles per hour for x hours
c)
The remaining number of miles on a 620 mile trip if traveling 65 miles an hour for x hours
d)
The amount owed on a $555 loan after paying $65 per month for x months
62.
a)
y = -0.002x + 2,500
b)
y = -500x + 8,000
c)
y = 500x + 8,000
d)
y = 0.002x + 2,500
63.
John is having a new deck built. He paid $485 for the material and will pay his brother $25 an hour. What set of ordered pairs represents (hours, money)?
a)
(0,485) (3,510) (8,535)
b)
(0,485) (3,560) (8,685)
c)
(0,485) (3,535) (8,560)
d)
(0,510) (3,585) (8,710)
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