Name ________________________________
REVIEW for Unit 4 Test
Date _______________
Notes
Is it proportional?
Are the two ratios proportional?
18 12
,
24 20
My Notes:
How do you set up a proportion?
My Notes:
In art class there are 2 boys for every 5 girls.
If there are 28 students in the class, how
many are boys?
How do you solve a proportion?
Solve:
12
n
=
20
35
My Notes:
What is the constant of proportionality?
How do we find it:
In a table
Minutes (x) 24
Mile (y)
2
My Notes:
In an equation
48
4
y = 5x
In a graph
( 1 , ____ )
PUT IT ALL together
Part 1 – NO calculator
1) Are the two statements below equivalent? Explain your reasoning.
The ratio of orange to blue is 3 to 4.
The ratio of blue to orange is 12 to 9.
2) Joan wants to change the engine in her car. The current engine is 750cm3 and has a
24” fan belt. The new engine is 950cm3 and has a proportionally larger fan belt.
Which proportion will help you find the size belt that Joan will need?
A.
24
750
=
n
950
950
750
=
n
1
C.
B.
D.
950
24
=
25
950
n
750
=
24
n
3) Jimmy has a summer job mowing lawns. His earnings are proportional to the number of
lawns he mows. The equation y = 7.5x represents this.
How much does he maker per hour?
___________________________
4) Solve for n in the given proportion. Show your work.
75
n
=
30
6
5) Determine which of the following graphs represents a proportional relationship.
a.
b.
c.
d.
6)
a) In one survey given to middle school students, 3 out of 10 students felt that doing
homework was very difficult. Ms. Simmons was wondering for how many of her 90
students feels the same way. Is this a proportional situation? Explain why or why not.
_______________
___________________________________________________________________
___________________________________________________________________
b) Victor is 12 years old and his younger sister is 3. When Victor is 24, how old will his
sister be? Is this an example of a proportional or non-proportional situation? Explain how
you know or show work to support your answer.
_______________
___________________________________________________________________
___________________________________________________________________
c) Ms. Posluszny is making a mixture to feed the hummingbirds by her house.
Hummingbird mixture calls for 1 part sugar per 4 parts water. At first, Ms. Posluszny
was going to mix 1 cup of sugar with 4 cups of water. However she realized this would be
too much mixture for her feeder. She thinks she can make an equivalent mixture by
mixing ¼ cup of sugar to 1 cup of water. Is this an example of a proportional or nonproportional situation? Explain how you know.
_______________
___________________________________________________________________
___________________________________________________________________
d) People are encouraged to call or text to vote for their favorite contestant on one
reality based TV show. It was determined that 3 out of every 5 votes were for
Contestant A. If there were 250,000 votes, how many of them would you expect to be
for Contestant A? Is this an example of a proportional or non-proportional situation?
Explain how you know or show work to support your answer.
_______________
___________________________________________________________________
___________________________________________________________________
7) Use the graph to determine how much 9 packs of gum will cost.
a) $4.50
b) $5
c) $9
d) $18
8) The height (y) of the television screen is proportional to its width (x). One
television has a width is 48 inches and a height of 27 inches. Which equation
can be used to find the height of any proportional television if you are given the
measure of the width?
a) y =
9
x
16
b) y =
16
x
9
c) x =
9
y
16
d) x =
16
y
9
Find the Constant of Proportionality.
9)
10)
a) y = 7.25x
k = _____
a) y = 4x
k = _____
X
Y
2
6
3
9
5
15
6
18
2
0.4
4
0.8
7
1.4
9
1.8
k = _____
b) y = ⅞ x
k = _____
11)
12)
X
Y
k = _____
1.5
1
3
2
4.5
3
12
8
X
Y
k = _____
Part 2: You may use a calculator
13)
Minutes (x)
Cost (y)
300
24
500
40
700
56
1000
80
Does this table represent a proportional relationship? _________
Write the equation which represents this proportional relationship.
__________________________________
14) On a map, the scale is 1.5 inches: 20 miles. If two cities are 115 miles apart,
how far apart are they on the map?
Answer: _____________________
15) A model of a dinosaur built to a scale of 3 cm : 1 m is 24 centimeters tall. How
tall was the actual dinosaur?
Answer: _____________________
16) Two different brands of cereal are on sale at the supermarket this week. One
sale is two boxes for $3.80 and the other sale is five boxes for $9.00. Which
sale is the better buy?
Answer: _____________________
17) A dozen bagels cost $7.20. At this rate, how much will 7 cost?
Answer: _____________________
18) 4:9 students surveyed said they watch television before doing their
homework. 45 people were surveyed. How many of these people do not watch
television before doing their homework?
Answer: _____________________
19) Write an equation to represent the proportional relationship for each graph.
Number of Miles
50
40
30
2
0
10
0.5 1
2.5
Equation: ___________________
20) The graph shows the cost of
buying scoops of gelato.
a. What does the point
4, 6 represent?
b. What is the unit cost?
c. What is the cost of 12
scoops?
d. Explain how the graph
would change if the unit
rate was $1.75 per scoop.
e. How would the
coordinates of the point
in part (a)
change if the unit rate
was $1.75 per scoop?
1.5
2
Hours
Equation: _________________