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Review 3.1-3.5

Total questions: 60

Worksheet time: 4hrs 36mins

Name
Class
Date
1.
What is the constant of proportionality (in miles per hour) based on the table?
a)
45
b)
90
c)
135
d)
2
2.
What is the constant of proportionality?
a)
$3
b)
$4
c)
$2
d)
$9
3.
Write the equation for the table given.
a)
y = 16/2x
b)
y=8x
c)
y=12x
4.
The amount of eggs and the cups of cream needed to make egg nog have a proportional relationship.  Complete the table. 
a)
5/1     &    5/1
b)
10/2   &    25/5
c)
1/5     &     1/5
d)
2/10   &   5/25
5.
Write an equation for this situation.
a)
y=9.75x
b)
y=19x
c)
y=19.25x
d)
y=9.5x
6.
Using the table above, determine which statement is correct.
a)
The table is proportional and the unit rate is 100.
b)
The table is not proportional because the unit rate is not constant.
c)
The table is not proportional because it doesn't pass through the origin.
d)
The table is proportional and the unit rate is 0.01.
7.
Determine which equation does NOT represent a proportional relationship.
a)
y = -2x
b)
y = 1/2 x
c)
y = 3x
d)
y = 5x - 7
8.
Using the table above, determine the equation of the line.
a)
y = 5x
b)
y = 10x
c)
y = 1/5 x
d)
y = 1/10 x
9.
The cost, c, of potato salad by its weight in pounds, p, at a deli is given in the table above.  Which equation best models this data.
a)
c = .29p
b)
c = 3.5p
c)
p = .29c
d)
p = 3.5c
10.
The table shows the weight in pounds of objects on earth compared to objects on the moon.  If an object on earth weighs 42 lbs, what is its weight on the moon?
a)
7 lbs
b)
12 lbs
c)
84 lbs
d)
252 lbs
11.
The graph above shows the price of games in dollars.  Is the graph proportional and how do you know?
a)
The graph is proportional  because it is linear.
b)
The graph is proportional because it is linear and passes through the origin.
c)
The graph is not proportional because it does not pass through the origin.
d)
The graph is not proportional because it is not linear and it does not pass through the origin.
12.
What is the constant of proportionality based on the table above?
a)
1/75
b)
75
c)
1
d)
0
13.
Jacob mixed 8 cups of flour with 2 cups of water to make pizza dough.  To represent the relationship between the number of cups of flour, f, and the number of cups of water, w, needed to make the same pizza dough, Jake wrote the equation
f = ____ w
What should be placed in the blank?
a)
1/4
b)
8
c)
2
d)
4
14.
Sherry can buy 4 pounds of oranges for $18.  Write the equation to represent the cost, y, for x oranges.
a)
y = 4.5x
b)
y = 72x
c)
y = 2/9 x
d)
y = 4x
15.
The time in hours, h, it takes to hike in miles, m, is displayed in the graph above.  What is the constant of proportionality? 
a)
1
b)
2
c)
5/6
d)
6/5
16.
The time in minutes it takes a sloth to move a certain distance in feet is shown in the graph above.  How far can a sloth move in 5 minutes?
a)
1 foot
b)
10 feet
c)
20 feet
d)
30 feet
17.
Determine if the table above is proportional and how do you know?
a)
The table is proportional because the unit rate is a constant 0.33.
b)
The table is proportional because it passes through the origin.
c)
The table is proportional because the unit rate is a constant 0.28
d)
The table is not proportional because the unit rate is not constant.
18.
Determine the unit rate from the table above given the distance in leagues, x, and the distance in miles, y.
a)
k = 1/3
b)
k = 3
c)
k = 6
d)
k = 1
19.
The number of trees and the number of apples are given in the table above.  Determine which statement below is correct.
a)
The table is not proportional because the unit rate is not constant.
b)
The table is proportional and the unit rate is 1/13
c)
The table is proportional and the unit rate is 13.
d)
The table is not proportional because it doesn't pass through the origin.
20.
Using the graph above, determine the constant of proportionality.
a)
k = 0
b)
k = 1
c)
k = 3
d)
k = 6
21.
Jacob mixed 8 cups of flour with 2 cups of water to make pizza dough.  To represent the relationship between the number of cups of flour, f, and the number of cups of water, w, needed to make the same pizza dough, Jake wrote the equation
f = ____ w
What should be placed in the blank?
a)
1/4
b)
8
c)
2
d)
4
22.
Sherry can buy 4 pounds of oranges for $18.  Write the equation to represent the cost, y, for x oranges.
a)
y = 4.5x
b)
y = 72x
c)
y = 2/9 x
d)
y = 4x
23.
Find the slope of the line.
a)
-2
b)
2
c)
-1
d)
1
24.
Find the slope of the line.
a)
-5/4
b)
5/4
c)
-4/5
d)
4/5
25.
Find the slope of the line.
a)
Undefined
b)
0
c)
1
d)
-1
26.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
27.
Find the slope
a)
5/2
b)
-5/2
c)
2/5
d)
-2/5
28.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
29.
Find the slope:
(2, -7) and (-1, 6)
a)
-13/3
b)
3/13
c)
-1/3
d)
1/3
30.
Find the slope:
(-3, 3) and (7, 6)
a)
3/4
b)
-4/3
c)
3/10
d)
-10/3
31.
Find the slope:
(-1,-9) and (5, -6)
a)
-15/4
b)
1/2
c)
-3/6
d)
11/3
32.
Find the slope:
(-4, 3) and (-4, -7)
a)
5/4
b)
-10/8
c)
Zero
d)
Undefined
33.

Find the slope:

(8,5) and (-9, 5)

a)

0

b)

Undefined

c)

-10/17

d)

-10/1

34.
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
35.

Does the point (2, 8) lie on the line,

y = 10 - x?

a)

Yes

b)

No

36.

Does the point (4, 11) lie on the line,

y = 8 + x?

a)

Yes

b)

No

37.

What is the unit rate of this graph?

a)

75 beats/minute

b)

100 beats/minute

c)

150 beats/minute

d)

200 beats/minute

38.
a)

150 miles/hour

b)

100 miles/hour

c)

125 miles/hour

d)

75 miles/hour

39.
a)

10 words/minute

b)

15 words/minute

c)

20 words/minute

d)

19 words/minute

40.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
41.
Does the table represent a proportional relationship?
a)
Yes.
b)
No.
42.

Find the value of r so that the line that passes through each of the points has the given slope.


(-2,r) (6,7) m = 1/2

a)

-3

b)

3

c)

2

d)

-5

43.

Find the value of r so that the line that passes through each of the points has the given slope.


(-3,-4) (-5,r) m = -9/2

a)

-4

b)

2

c)

5

d)

-5

44.

Find the value of r so that the line that passes through each of the points has the given slope.


(1,4) (r,5) m=undefined

a)

-1

b)

2

c)

-2

d)

1

45.

Find the value of r so that the line that passes through each of the points has the given slope.


(r,2) (5,r) m = 0

a)

-1

b)

2

c)

-2

d)

1

46.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

47.

Categorize the slope of the line

a)

Positive

b)

Negative

c)

Zero

d)

Undefined

48.
Trina'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
49.
Eduardo counted ten seconds between seeing lightning and hearing thunder, and he knew that the lightning was about 2 miles away. What is the equation of variation?
a)
y = 10x
b)
y = 2x
c)
y = 5x
d)
y = 1/5x
50.

If (-5, 8) is a point on a line with a slope of -3/5, what is another possible point on the line?

a)

(0, 11)

b)

(-10, 5)

c)

(-2, 13)

d)

(5, 2)

51.

If (6, -3) is a point on a line with a slope of 1/3. Which of these points is NOT a possible point on the line?

a)

(9, -4)

b)

(-3, -6)

c)

(9, -2)

d)

(0, -5)

52.

If (2, -3) is a point on a line with a slope of 1/4, what is another possible point on the line?

a)

(3, 1)

b)

(1, -7)

c)

(6, -2)

d)

(-2, -4)

53.

If (-1, 5) is a point on a line with a slope of -2. Which of these points is NOT a possible point on the line?

a)

(0, 3)

b)

(-3, 6)

c)

(2, -1)

d)

(-9, 6)

54.
A dishwasher uses 65 gallons of water to wash 5 loads of dishes. What is the constant of variation?
a)
k = 13
b)
k = 65
c)
k = 5
d)
k = 1/13
55.

What best describes the data on this graph?

a)

This graph is linear and not proportional.

b)

This graph is proportional.

c)

This graph is non-linear.

56.
Determine the missing value in the table. 
a)
15
b)
3
c)
1/3
d)
9
57.

Which value of t would make the slope be 2?

(a)  

58.

A proportional relationship is always linear, but a linear relationship does not have to be proportional.

a)

true

b)

false

59.

On a scale of 1-5, how ready are you for this test?

a)

1

b)

2

c)

3

d)

4

e)

5

60.

Which equation represents a non-proportional linear equation?

a)

y = mx

b)

y/x = m

c)

y = mx+b

d)

All of them