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Worksheets

Slope Review

Total questions: 65

Worksheet time: 4hrs 9mins

Name
Class
Date
1.
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
2.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
3.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
4.
Find the slope of the line that passes through 
(17, 2) and (17, -3)
a)
0
b)
undefined
c)
5
d)
-5
5.
Find the slope of the line.
a)
1/2
b)
-1/2
c)
2
d)
-2
6.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
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)
1/4
b)
-1/4
c)
-4
d)
4
10.
Find the slope of the line.
a)
-2
b)
2
c)
-1/2
d)
1/2
11.
Find the slope of the line.
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
12.
What type of slope?
a)
negative
b)
steep
c)
undefined
d)
zero slope
13.
What type of slope?
a)
negative
b)
positive
c)
zero slope
d)
downward slope
14.
What type of slope?
a)
positive
b)
negative
c)
no slope
d)
undefined
15.
Which statement is true?
a)
All lines have a positive slope.
b)
A line that contains points in Quadrant I and Quadrant III must have a negative slope.
c)
A line that rises as you move to the right along the line has a positive slope.
d)
A horizontal line has no slope.
16.

Identify the slope from the equation y = 3x + 6

a)

m = 3

b)

m = 6

c)

m = x

d)

m = 3x

17.

Identify the slope from the equations y = -x -6

a)

m = 6

b)

m = -1

c)

m = -x

18.

Identify the slope from the equation y = -8x

a)

m = -8

b)

m = 8

c)

m = x

d)

m = -8x

19.
Find the Slope
a)
No Slope
b)
3
c)
1/3
d)
Zero
20.
What is the slope?
a)
1/4
b)
4
c)
-3
d)
-2
21.
Find the slope from the table:
a)
-2/5
b)
5/-2
c)
5/2
d)
2/5
22.
What direction is an undefined slope?
a)
horizontal
b)
vertical
23.
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
24.
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
25.
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
26.
Slope is know as rise/
a)
run
b)
fall
c)
none
d)
rise
27.
In the equation y=mx+b, what does the m represent?
a)
slope
b)
y-intercept
c)
linear
d)
point-slope
28.
What does 'b" represent in y=mx=b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
29.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
30.
If m=3 and b=6, what is the correct slope intercept equation?
a)
y=3-6
b)
y=3x-6
c)
y=3x+6
d)
y=6x+3
31.
Slope formula is 
a)
the change in x over change
 in y
b)
change in y over change
in x
c)
y=mx+b
32.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
33.

Is the table proportional or non-proportional?

a)

Proportional

b)

Non-proportional

34.

What is the y-intercept in the equation below?
 y=65xy=6-5x  

a)

 1x1x  

b)

 5-5  

c)

 55  

d)

 66  

35.
What is the y-intercept?
a)
(0,7)
b)
(0, 0)
c)
(0,1)
d)
(0, 2)
36.
Which ordered pair could represent a y-intercept on a graph?
a)
(6, 0)
b)
(0, 4)
c)
(-1, 3)
d)
(2, 0)
37.
Which equation best represents the line on the graph?
a)
y= 1/2x
b)
y= -1/2x
c)
y = 2x
d)
y = -2x
38.
What is the equation of the line?
a)
y = -3/4x + 3
b)
y = 4/5x + 3
c)
y = -4/5x + 3
d)
y = -4/5x
39.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
40.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
41.
Jenny writes the equation y = 1/2x +5.
Why is she incorrect?
a)
The slope is -2, the equation should be
y = -2x + 5
b)
The y-intercept is 4, the equation should be y = -2x + 4
c)
The slope is -1/2, the equation should be
 y = -1/2x + 5
d)
The y-intercept is -5, the equation should be y = -2x - 5
42.
What equation matches this graph?
a)
y = 2x + 2
b)
y = 3/2x + 2
c)
y = 1/2x + 2
d)
y = 2/3x + 2
43.
What is the y-intercept of the line graphed?
a)
3
b)
4
c)
-3
d)
4/3
44.

Which graph shows the equation y = 2/3x - 3

a)
b)
c)
d)
45.
What is the equation of this line?
a)
0
b)
undefined 
c)
y = -2
d)
x = -2
46.
What is the equation of the line in the graph?
a)
y = 3
b)
x = 3
c)
x = 0
47.

Which equation matches the table?

a)

y = 3x + 9

b)

y = x + 9

c)

y = x + 3

d)

y = 12x - 3

48.

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

a)

y = 40 + 2x

b)

y = 40 - 2x

c)

y = 2 + 40x

d)

y = 2 - 40x

49.
A holiday meal costs $12.50 a person plus a delivery fee of $30.
a)
y = 30 + 12.5x 
b)
y = 12.5 + 30
c)
y = 12.5 + 30x
d)
y = 30 - 12.5x
50.
Given the following table, write the linear equation.
a)
y = 2x + 7
b)
y = 4x + 7
c)
y = 2x + 5
d)
y = -2x + 5
51.
What does the slope of 3/2 mean for this situation?
a)
For every 3 books sold, there is a $2 profit. 
b)
Your cost per book is $1
c)
For every 2 books sold, there is a $3 profit. 
d)
Your cost per book is $5
52.
What does the y-intercept (which is 20) represent in this situation?
a)
The cost per game 
b)
The initial charge of renting games 
c)
The cost of the first game 
53.
Which equation matches the table below?
a)
y = 3x - 6
b)
y = -3x + 6
c)
y = 3x + 6  
d)
y = -3x - 6
54.
Which equation best represents the relationship between x and y in the table shown?
a)
y= -1/3x-10
b)
y= -3x-10 
c)
y= -3x+10
d)
y= -1/3x+10
55.
A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?
a)
y=15x
b)
y=15x+80
c)
y=x+15
d)
y=80x+15
56.
Which situation can be represented by y=12x-4?
*Hint: Pay attention to your sign for your y-intercept*
a)
The number of eggs, y, in x dozen eggs for sale after 4 dozen eggs are sold
b)
The cost, y, of buying x movie tickets that sell for $8 each
c)
The cost, y, after a $4 discount, of buying x T-shirts that sell for $12 each
d)
The number of inches, y, in an x-foot-tall tree after cutting off 4 feet
57.
Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.
y=0.5x+10
What does the slope of the graph of this equation represent?
a)
The daily fee for the moving truck
b)
The per-mile fee for the moving truck
c)
How much Charlie paid for the truck
d)
The number of miles he drove
58.
A camp charges families a fee of $625 per month for one child and a certain amount more per month for each additional child. Use the graph to write an equation in slope-intercept form to represent the amount a family with x additional children would pay.
a)
y = 625x + 225
b)
y = 225x 
c)
y = 225x + 625
d)
y =  625
59.
Which of the following situations could be descried by the equation y= -25x + 120
a)
There are 120 people in the football stadium, and 25 more are entering each hour.
b)
A plumber charges $25 for a house call and $120 per hour.
c)
A teacher has 120 students. Her third period has 25 students
d)
There are 120 gallons of water in a tank. It releases water at a rate of 25 gallons per minute
60.
Randy charges his tenants $400 each month to rent his houses plus $600 security deposit. In the new year, the property taxes increased on the area where he rents so as a result he must increase the rate of change by $25 to ensure his profits are not harmed. What equation best represents how much his tenants will now have to pay? 
a)
y = 425x + 600
b)
y = 425 + 600x
c)
y = 400x + 625
d)
y = 400 + 625x
61.
Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.
y=3x+10
What does the y-intercept of the graph of this equation represent?
a)
The monthly fee
b)
How much Rich pays per visit
c)
The number of times Rich goes to the gym
d)
The total cost at the end of the month
62.
Adrianna has $20 in her savings account. Each week she will add $5 to it. Which equation represents this situation?
a)
y=25x
b)
y=20x+5
c)
y=5x+20
d)
y=5x
63.
A 7-inch candle burns at a rate of 2-inches per hour. Which equation represents the relationship between y, the height of the dandle in inches, and x, the number of hours the candle burns?
a)
y=2x+7
b)
y=7-2x
c)
y=2-7x
d)
y=7x+2
64.

Sonia has $40 in her lunch account and pays $2 each day to eat lunch.

a)

y = 40 + 2x

b)

y = 40 - 2x

c)

y = 2 + 40x

d)

y = 2 - 40x

65.

How are we feeling for our test on Friday?!?!?

a)

Good!

b)

Depends how I do on the study guide tomorrow

c)

Not good, need more practice