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WorksheetsRate of Change And Slope DMS
Total questions: 80
Worksheet time: 4hrs 8mins
Name
Class
Date
1.
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
2.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
3.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
4.
What is the slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
5.
What direction is an undefined slope?
a)
horizontal
b)
vertical
c)
oblique
d)
straight
6.
What type of slope in the picture?
a)
Positive
b)
Negative
c)
Zero
d)
Undefined
7.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
8.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
9.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
10.
Find the slope of the line that passes through the points (2, 4) and (6, 12)
a)
1/2
b)
-1/2
c)
2
d)
-2
11.
Find the slope from the table:
a)
-2/5
b)
-5/2
c)
5/2
d)
2/5
12.
What is Brad's slope in terms of sit-ups?
a)
1 sit-up per day
b)
5 sit-ups per day
c)
15 sit-ups per day
d)
10 sit-ups per day
13.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
14.
Find the rate of change.
a)
4 burgers per person
b)
6 burgers per person
c)
2 burgers per person
d)
2 people per burger
15.
Determine the Constant Rate of Change?
a)
-10 ft per second
b)
15 ft per second
c)
10 ft per second
d)
-15 ft per second
16.
Find the slope:
(-3, 3) and (7, 6)
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
17.
What does slope measure?
a)
A line
b)
Steepness of a line
c)
Length of a line
d)
Rate of Change
18.
Rise goes ______
and
Run goes ______
and
Run goes ______
a)
up, down
b)
horizontal, vertical
c)
east, west
d)
vertical, horizontal
19.
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
20.
What number completes the table?
a)
63
b)
56
c)
70
d)
77
21.
What is the slope?
a)
7
b)
1/7
c)
14
d)
0
22.
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
23.
Which statement below accurately represents the graph?
a)
$100 is earned for each hour worked
b)
$100 is earned for every 2 hours worked
c)
$500 is earned for every 8 hours worked
d)
$200 is earned for every 3 hours worked
24.
Find the rate of change.
a)
-2 minutes per gallon
b)
-20 minutes per gallon
c)
-2 gallons per minute
d)
-20 gallons per minute
25.
Calculate the rate of change.
a)
6
b)
1/6
c)
-6
d)
-1/6
26.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
27.
Determine the slope.
a)
m=1/7
b)
m=-1/7
c)
m=-7
d)
m=7
28.
What is the rate of change?
a)
6
b)
18
c)
12
d)
3
29.
What is the rate of change?
a)
1
b)
5
c)
2
d)
10
30.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
31.
Find the constant rate of change between the quantities.
a)
$7 per item
b)
$2.40 per item
c)
$12 per item
d)
$0.42 per item
32.
What is the constant rate of change?
a)
$4 per pound
b)
$2 per pound
c)
$0.50 per pound
d)
4/2
33.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
34.
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
35.
What is the slope?
a)
$2/1 mile drive
b)
$1/2 miles driven
c)
2 miles driven/$1
d)
1 mile driven/$2
36.
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 slope of the graph?
What is the slope of the graph?
a)
64
b)
128
c)
32
d)
16
37.
Find the constant rate of change for the graph.
a)
3
b)
6
c)
4
d)
10
38.
What does the point (2,8) represent in the graph?
a)
For every 8 girls there are two bracelets.
b)
For every 2 girls there are eight bracelets.
39.
a)
1 minute per day
b)
2 minutes per day
c)
3 minutes per day
d)
15 minutes per day
40.
Find the slope
a)
0
b)
undefined
c)
-3
d)
6
41.
I want to buy a new bike. I already have $50 so I decide to add $20 each week to that amount in order to save up to purchase the bike.
What is my rate of change?
What is my rate of change?
a)
$50
b)
$20
c)
$0
d)
not sure
42.
Craig earns extra money working as a lifeguard. He earned $37 after working for 4 hours and $64.75 after working for 7 hours. What was Craig's wage?
a)
$37/hr
b)
$64.75/hr
c)
$9.25/hr
d)
$18.50/hr
43.
Michael started a savings account. 4 weeks after starting this account, he had $300 dollars in it, and after 9 weeks, he had $400. What was the rate of change of money in his savings account over this time?
a)
$20/week
b)
$140/week
c)
$50/week
d)
$7.69/week
44.
True or False: "Slope" is just another word for rate of change. We tend to use this word when graphing the relationship between two quantities.
a)
True
b)
False
45.
Find the rate of change
a)
3
b)
-3
c)
20
d)
Not a constant slope/Non-Linear
46.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
47.
Find the rate of change
a)
1/2
b)
1/4
c)
4
d)
2
48.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
49.
Find the slope of the line that passes through (10, -8) and (1, 12).
a)
20/9
b)
-20/9
c)
4/9
d)
9/4
50.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
51.
Who has the greater rate of change?
a)
CJ has a greater rate of change with 13/2
b)
Holland has a greater rate of change with 6
c)
CJ has a greater rate of change with 2/13
d)
They have the same rate of change.
52.
Does this graph show a constant rate of change?
a)
yes
b)
No
53.
If the rate of change remains constant, how many feet will the balloon reach in 8 minutes?
a)
9000 ft
b)
800 ft
c)
8000 ft
d)
9000 ft
54.
Find the rate of change using the table provided.
a)
500/10
b)
10/500
c)
1/15
d)
15/1
55.
It costs 8.21 for 3 candy bars how much does 1 cost
a)
2.73
b)
6.90
c)
71.8
d)
76.0
56.
What is the slope of this line?
a)
1
b)
1/2
c)
2
d)
-2
57.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
58.
The Origin runs through which ordered pair or coordinate points?
a)
(-1, 0)
b)
(1, 1)
c)
(0, 0)
d)
(0, 1)
59.
Find the length of x
a)
x = 1
b)
x = 2
c)
x = 7
d)
x = 1/7
60.
Solve the proportion.
a)
k=5
b)
k=3.3333333
c)
k=60
d)
k=90
61.
Elijah earn $200 for 8 hours of work. What is the unit rate (in dollars per hour)?
a)
$50 per hour
b)
$12 per hour
c)
$192 per hour
d)
$25 per hour
62.
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
63.
At the market, 7 apples cost $4.55. What is the cost per apple?
a)
1.54 apples per dollar
b)
1.54 dollars per apple
c)
$0.65 per apple
d)
not here
64.
Solve the proportion:
a)
4
b)
8
c)
14
d)
10
65.
What is Jon's rate from 0 to 1 second?
a)
1 foot per second
b)
4 feet per second
c)
-4 feet per second
d)
3 feet per second
66.
What is Bob's rate of change from 0 seconds to 50 seconds? BE SURE TO SIMPLIFY!!!
a)
100 meters per 50 seconds
b)
5 meters per second
c)
2 meters per second
d)
20 meters per second
67.
What is Billy's rate from 100 to 120 seconds?
a)
Lightning fast!
b)
Super speedy!
c)
20 meters per second
d)
0 meters per second
68.
Determine the Constant Rate of Change?
a)
$250.00 per day
b)
$333.33 per day
c)
-$250.00 per day
d)
-$333.33 per day
69.
Find the slope of the line that passes through (-9, -6) and (-9, -10)
a)
0
b)
Undefined
c)
-3
d)
Yh-9
70.
What is the slope?
a)
3
b)
-3
c)
10
d)
-6
71.
Find the slope of the line that passes through
(-4, 7) and (-6, -4)
(-4, 7) and (-6, -4)
a)
2/11
b)
-2/11
c)
11/2
d)
-11/2
72.
Which of these lines has a slope of -3?
a)
A
b)
B
c)
C
d)
D
73.
Which line has a slope of 0?
a)
Line A
b)
Line B
c)
Line C
d)
Line D
74.
Complete the sentence:
The rate of change of this table of data is...
The rate of change of this table of data is...
a)
a vertical line.
b)
a positive slope.
c)
a horizontal line.
d)
a negative slope.
75.
The rate of change for the graph...
a)
a negative slope.
b)
compares the change of deposit amount to the number of months.
c)
is the rate of change in months to the change in deposit.
d)
does not exist.
76.
What is the rate of change of Joe's deposit with respect to the number of months?
a)
a negative slope.
b)
$500/month
c)
1 month per $100
d)
$50/month
77.
The slope of the table is...
a)
1/5
b)
5
c)
0.4
d)
2/5
78.
Which runs faster: a cheetah that can run 60 feet in 4 seconds or gazelle that can run 100 feet in 8 seconds?
a)
A cheetah at a unit rate of 14 ft per sec
b)
A gazelle at a unit rate of 12 ft per sec
c)
A cheetah at a unit rate of 15 ft per sec
d)
A gazelle at 12.5 ft per sec
79.
What is the rate of change?
a)
6
b)
18
c)
12
d)
3
80.
What is the rate of change?
a)
9
b)
1
c)
10
d)
2
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