WorksheetsDirect Variation & Slope-Intercept Form
Total questions: 46
Worksheet time: 3hrs 41mins
Name
Class
Date
1.
Suppose y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality, m for this situation?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
2.
Write a direct variation equation for this proportional relationship.
a)
y=4x
b)
y=1/8x
c)
y=1/4x
d)
y=8x
3.
The amount of money earned on a job is varies directly with the number of hours worked. If $70.00 is earned in 5 hours, how much money is earned in 22 hours of work?
a)
$2
b)
$308
c)
$1.57
d)
$265
4.
Is the given table a direct variation? If so, what is the constant?
a)
Yes; 1/4
b)
Yes; 4
c)
Yes; 2
d)
No
5.
In a direct variation, y=39 when x=3. Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
6.
Does the relationship in the table represent direct variation?
a)
Yes
b)
No
7.
Write a direct variation equation for this proportional relationship.
a)
y = 1/3x
b)
y = 3x
c)
y = 1/2x
8.
It costs $3.60 for Jennie to buy 3 pounds of apples to make her famous apple pies. How much does it cost Jennie per pound?
a)
$1.00 per pound
b)
$3.60 per pound
c)
$1.20 per pound
d)
$1.10 per pound
9.
Does this table represent a proportional relationship?
a)
Yes
b)
No
c)
Xfinity
d)
English is the best class ever!
10.
What is the constant of proportionality, m, represented in this table?
a)
8
b)
16
c)
24
d)
2
11.
Does this table represent a proportional relationship (direct variation)?
a)
yes
b)
no
12.
Tina's paycheck earnings varies directly as the number of hours she works. If she works 19 hours and earns $187.15, what should she earn if she worked 40 hours?
a)
$394
b)
$440
c)
$472.80
d)
$512.20
13.
Suppose y varies directly with x, and y is 16 when x is 32. Which direct variation equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
14.
Does this table represent a proportional relationship (direct variation)?
a)
Yes
b)
No
15.
Does this line represent a proportional relationship (direct variation)?
a)
yes
b)
no
16.
Which of the given graphs is a direct variation relationship?
a)
A
b)
B
c)
C
d)
D
17.
What ordered pair does a direct variation always go through when graphed?
a)
(0, 0)
b)
(1, 0)
c)
(0, 1)
d)
(1, 1)
18.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
19.
Does this line represent a proportional relationship (direct variation)?
a)
yes
b)
no
20.
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
21.
Find the slope between the two points.
(3, 7) and (-4, 2)
(3, 7) and (-4, 2)
a)
7/5
b)
5/7
c)
2/3
d)
2
22.
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
23.
A line has an equation of y = -5x - 10. What is the slope of the line?
a)
-5
b)
-10
c)
5x
d)
10
24.
Find the slope of the line that passes through these two points. (3,-2) and (8, -8).
a)
-5/6
b)
-6/5
c)
-10/5
d)
-10/11
25.
Find the slope of the line that passes through these two points. (-3,6) and (4,8).
a)
-2/7
b)
2/7
c)
-2/1
d)
14/7
26.
What is the slope of Line A?
a)
1/2
b)
-1/2
c)
2
d)
-2
27.
What is the slope of Line B?
a)
1/3
b)
-1/3
c)
-3/1
d)
3/1
28.
Write the y=mx+b equation of the line.
a)
y=(3/5)x+1
b)
y=(3/5)x-1
c)
y=(5/3)x+1
d)
y=(3/5)x+1
29.
A line has an equation of y = -3x + 8. What is the y-intercept of the line?
a)
-3
b)
3
c)
-8
d)
8
30.
Choose two points on the line and find the slope of the line using the rise and the run.
a)
-2
b)
2
c)
-1/2
d)
1/2
31.
Choose two points on the line and find the slope of the line using the rise and the run.
a)
3/2
b)
2/3
c)
-3/2
d)
-2/3
32.
What is the slope of the following equation?
y = -2x-1
y = -2x-1
a)
2
b)
-2
c)
-1
d)
1
33.
What is the y-intercept of the following equation?
y = -2/3x-1
y = -2/3x-1
a)
2/3
b)
2
c)
3
d)
-1
34.
What is the slope of this equation?
y = 3x - 4
y = 3x - 4
a)
3
b)
-4
c)
3x
d)
4
35.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined
36.
What is the y-intercept of the following equation?
y=-2/3x-1
y=-2/3x-1
a)
2/3
b)
2
c)
3
d)
-1
37.
What is the slope? y= 1/2x + -8
a)
1/2x
b)
-8
c)
-1/2
d)
1/2
38.
What are the slope and y-intercept of the following equation?
y = 1/2x - 1
y = 1/2x - 1
a)
slope: 1/2 y-intercept: -1
b)
slope: 2/1 y-intercept: -1
c)
slope: 3 y-intercept: -3
d)
slope: 2 y-intercept: 5
39.
What are the slope and y-intercept of the following equation?
y = 3 -x
y = 3 -x
a)
slope:-1 y-intercept: 3
b)
slope: 1/5 y-intercept: 5
c)
slope: 1 y-intercept: -3
d)
slope: -1 y-intercept: -3
40.
Find the slope and y-intercept of this line.
a)
Slope is 3, y-intercept is -3
b)
Slope is 1, y-intercept is 3
c)
Slope is -1, y-intercept is 3
d)
Slope is -3, y-intercept is 3
41.
Find y-intercept of this line.
a)
-2
b)
-2
c)
3
d)
-3
42.
Find the slope and y-intercept of this line.
a)
Slope is 3/2, y-intercept is 2
b)
Slope is 2/3, y-intercept is 2
c)
Slope is -3/2, y-intercept is 2
d)
Slope is -2/3, y-intercept is 2
43.
Find the slope of this line
a)
-2/3
b)
2/3
c)
3/2
d)
-3/2
44.
Calculate the slope.
a)
m= -2
b)
m=-1/2
c)
m=2
d)
m=1/2
45.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
46.
What is the y-intercept?
y = 6x - 4
y = 6x - 4
a)
6/1
b)
1/6
c)
-4
d)
4
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