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Slope Review

Total questions: 66

Worksheet time: 4hrs 56mins

Name
Class
Date
1.

Find the slope.

a)

3/2

b)

-3/2

c)

(-0,-3)

d)

none of the above

2.

Find the slope.

a)

1/2

b)

-1/2

c)

2

d)

-2

3.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
4.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
5.

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

a)

m = 3

b)

m = 6

c)

m = x

d)

m = 3x

6.

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

a)

m = 6

b)

m = -1

c)

m = -x

7.

Identify the slope from the equation y = -8x

a)

m = -8

b)

m = 8

c)

m = x

d)

m = -8x

8.
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
9.
Find the slope of the line that passes through 
(-4, 7) and (-6, -4)
a)
2/11
b)
-2/11
c)
11/2
d)
-11/2
10.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
11.
Find the Slope
a)
No Slope
b)
3
c)
1/3
d)
Zero
12.
In the equation y=mx+b,
what does m represent?
a)
Nothing in particular
b)
The y-intercept
c)
The x-intercept
d)
Slope
13.
Name the slope
a)
3
b)
1
c)
-1x
d)
-1
14.
Name the y intercept
a)
-1
b)
7
c)
-1x
d)
-7
15.
Name the y intercept
a)
4
b)
-1
c)
1
d)
-4
16.
Name the slope
a)
3
b)
Zero slope
c)
Undefined
d)
1
17.
Name the correct equation
a)
y=x+7
b)
y=-x
c)
y=x
d)
y=-x-7
18.
Name the equation that is represented by the graph.
a)
y=2x+4
b)
y=-2x+4
c)
y=2x-4
d)
y=-2x-4
19.
In the equation y=mx+b,
what does b represent?
a)
Slope
b)
x-intercept
c)
y-intercept
d)
Nothing significant 
20.
Name the slope.
a)
Zero slope
b)
1
c)
Undefined
d)
-1
21.

What is the y-intercept of the line with the equation
 y = 2x + 4y\ =\ -2x\ +\ 4  

a)

 2-2  

b)

 22  

c)

 44  

d)

 4-4  

22.

Find the slope of the line with the equation
 2x + y = 102x\ +\ y\ =\ 10  

a)

 22  

b)

 2-2  

c)

 1010  

d)

 10-10  

23.

Graph the line with the equation
 y = 23x + 4y\ =\ -\frac{2}{3}x\ +\ 4  

a)
b)
c)
d)
24.

Graph the line with the equation
 x = 3x\ =\ -3  

a)
b)
c)
d)
25.

Graph the line with the equation
 y = 13x y\ =\ \frac{1}{3}x\   

a)
b)
c)
d)
26.

Graph the line with the equation
 y = 13x  4y\ =\ -\frac{1}{3}x\ -\ 4  

a)
b)
c)
d)
27.

Write the equation of the graph in slope-intercept form

a)

y=2x4y=-2x-4

b)

y=2x 4y=2x\ -\ 4

c)

y=12x4y=\frac{1}{2}x-4

d)

y=12x4y=-\frac{1}{2}x-4

28.
Determine the slope and y-intercept.    4x + y = -10
a)
slope: 4   y-intercept:  (0,10)
b)
slope: -4   y-intercept:   (0,-10)
c)
slope: -4   y-intercept:   (0,10)
d)
slope: 4   y-intercept:   (0,-10)
29.
find the slope
a)
3/2
b)
-3/2
c)
(-0,-3)
d)
none of the above
30.
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
d)
y=2/3x+3
31.
Find the slope of the line that passes through
(1, -19) and (-2, -7)
a)
-4
b)
4
c)
1/4
d)
-1/4
32.
What is the equation of this line?
a)
y = 2x +2
b)
y = 2x -2
c)
y = -x + 2
d)
Cannot be Determined
33.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
34.
Write the equation of the line.
a)
y = -2/3x + 4
b)
y = 2/3x + 4
c)
y = 3/2x + 4
d)
y = -3/2x + 4
35.
Which of these represents point-slope form of a linear equation?
a)
y - y1 = m(x - x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
36.
Which of these represents slope-intercept form of a linear equation?
a)
y - y1 = m(x-x1)
b)
Ax + By = C
c)
y = mx + b
d)
y=kx
37.
For the equation
y - 3 = 2(x + 4),
the line has a slope of 2 and contains what point?
a)
(-4, 3)
b)
(3, -4)
c)
(-3, -4)
d)
(-4, -3)
38.
For the equation
y + 1 = -3 (x - 5),
the line contains the point (5, -1) and has a slope of?
a)
-1
b)
1
c)
-3
d)
5
39.
Write the equation in point-slope form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y +7 = -1/4(x - 4)
b)
y - 4 = -1/4(x + 7)
c)
y + 4 = -1/4(x - 7)
d)
y - 7 = -1/4(x - 4)
40.
Write the equation in slope-intercept form of the line that passes through the given point and has the given slope.
(4, -7); m = -1/4
a)
y = -1/4x + 6
b)
y = -1/4x - 6
c)
y = -1/4x - 8
d)
y = -1/4x + 8
41.
Write the equation in point-slope form for the line that contains the points
(-2, -3), (4, 3)
a)
y - 3 = 1(x - 2)
b)
y + 3 = 1(x + 2)
c)
y -3 = -1(x + 2)
d)
y + 3 = -1(x - 2)
42.
Write the equation in point-slope form for the line that contains the points
(3, -5) and (5, - 1)
a)
y - 5 = 2(x + 3)
b)
y + 5 = 2(x - 3)
c)
y - 3 = 2(x + 5)
d)
y + 3 = 2(x - 5)
43.
Write the equation in slope-intercept form for the line that contains the points
(3, -5) and (5, - 1)
a)
y = 2x + 11
b)
y = 2x + 1
c)
y = 2x - 1
d)
y = 2x - 11
44.

Which of the following lines is PARALLEL to the graph of y = -6x + 3 and goes through the point (-1,4)?

a)

y=1/6x +25/6

b)

y = 1/6x + 4

c)

y = -6x - 2

d)

y = -6x + 4

45.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8?

a)

2x + 5y = 8

b)

5x - 2y = 6

c)

-10x - 4y = 7

d)

-10x + 4y = 9

46.
What direction is an undefined slope?
a)
horizontal
b)
vertical
47.
Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2
a)
Parallel
b)
Perpendicular
c)
Neither
48.
Use the equations given to determine if the following lines are parallel, perpendicular, neither or both.
y=4x-2
y-3=-1/4(x-8)
a)
parallel
b)
perpendicular
c)
neither parallel nor perpendicular
d)
both parallel and perpendicular
49.

Two lines that are parallel will have ...

a)

Slope that is opposite reciprocals

b)

No slope

c)

Slope that is the same

d)

none of the above

50.

Two lines that are perpendicular lines have ...

a)

Slope that is opposite reciprocals

b)

No Slope

c)

Slope that is the same

d)

none of the above

51.

Which is the equation of the line that is parallel to the graph of y = 5x + 7 and has a y-intercept at (0, -2)?

a)

y = 5x - 2

b)

y = -2x + 7

c)

y = 5(x - 2)

d)

y = -1/5x - 2

52.
What slope is parallel to:  
m = 4
a)
4
b)
-1/4
c)
-4
d)
1/4
53.
What slope is perpendicular to:  
m = 5/8
a)
-5/8
b)
5/8
c)
-8/5
d)
8/5
54.
What slope is perpendicular to:  
m = 3
a)
-3
b)
-1/3
c)
1/3
d)
3
55.
y = 6x + 2
y = -6x + 2
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
56.
y = -2/3x + 2
y = 3/2x + 9
These lines are...
a)
Parallel
b)
Perpendicular
c)
Neither
57.

Ryan's Auto Wash earns revenues of $9 per customer. Write an equation that shows the relationship between the number of customers x and the revenue y.

a)

y=9xy=9x

b)

x=9yx=9y

c)

y=x9y=x^9

d)

y=x+9y=x+9

58.

Tube has already baked 4 cakes, and he can bake 1 cake with each additional stick of butter he buys. Write an equation that shows the relationship between the number of additional sticks of butter x and the number of cakes y.

a)

y=4xy=\left|4x\right|

b)

y=x4y=\frac{x}{4}

c)

y=4xy=4x

d)

y=x+4y=x+4

59.

Muzi has already taken 2 pictures at home, and she expects to take 1 picture during every day of vacation. Write an equation that shows the relationship between the days of vacation x and the total number of pictures taken y.

a)

x=2yx=2y

b)

y=x+2y=x+2

c)

x=y+2x=y+2

d)

y=2xy=2x

60.

Neo has already written 1 page, and she expects to write 1 page for every additional hour spent writing. Write an equation that shows the relationship between the hours spent writing x and the total pages written y.

a)

y=1xy=\frac{1}{x}

b)

y=x+1y=x+1

c)

y=1xy=1x

d)

y=xy=x

61.

Apeach has already taken 4 pages of notes on his own, and he will take 3 pages during each hour of class. Write an equation that shows the relationship between the time in class x and the number of pages y.

a)

y=3x+4y=3x+4

b)

y=4x+3y=4x+3

c)

y=4x+3y=\frac{4}{x}+3

d)

y=3x+4y=\frac{3}{x}+4

62.

When completing an online shopping transaction, a Apeach takes 4 seconds to select each product and another 4 seconds to complete the check-out process. Write an equation that shows the relationship between the products being purchased x and the time y.

a)

y=x4+4y=\frac{x}{4}+4

b)

y=4x4y=4x-4

c)

y=8xy=8x

d)

y=4x+4y=4x+4

63.
You and your friends plan to attend the State fair this weekend.  Admission to the fair is $5 and the cost per rid is $0.50.  How many rides can you go on if you have $20.
a)
20 rides
b)
30 rides
64.
At Eagle Bay, it costs $10 per hour to rent a canoe.  Nick and his friends rented a canoe for 3 hours and paid $45.  Write and solve a linear equation to find the cost to rent the canoe for 7 hours.
a)
95
b)
85
65.
In order to join a flying club, there is a $200 annual fee and $20 a month fee to maintain the flying club runway.  Write an equation to model this situation.   After how many months will the cost be $400?
a)
10 Months
b)
5 Months
c)
Not enough information
66.

Suppose that a bike rents for $4 plus $1.50 per hour. Write an equation in slope-intercept form that models this situation.

a)

y = 4x + 1.50

b)

y = 1.50x + 4

c)

y = -4x +1.50

d)

y = 4x - 1.50