7th - Chapter 1 & 2 Review Worksheet

7th - Chapter 1 & 2 Review Worksheet - Be sure to SHOW YOUR WORK!
1. A recent survey on movies found that 1 out of 3 students like action films.
a.
Use the information to complete the table.
Total Number of Students
Students Who Like Action Films
60
120
180
240
b.
Graph the relationship.
2. A recent survey determined that 7 out of 9 students eat school lunch at least once a week. If 450 students were
surveyed, how many eat school lunch at least once a week?
3. Write and solve an equation using the constant of proportionality to answer each question.
The constant of proportionality between the number of green olive slices (g) and the numberof black olive
slices (b) on a pizza is
pizza?
4.
. There are 26 black olive slices on the pizza. How many green olive slices are on the
5. Analyze the table, which shows the number of 6th graders from two classes who play handheld games.
Determine if the relationship is proportional.
6th Grade Class
Play Handheld Games
Total Students
Mrs. McKenna
28
32
Mr. Rodriguez
26
30
6. The distance (d) in meters that an ant can travel varies directly with the amount of time (t) in hours it spends
walking. Assume that an ant’s constant of proportionality is 18.
a.
Write an equation representing the proportional relationship between d and t using the information
given.
b.
If an ant walks for 10 minutes, how far will it travel?
c.
If an ant traveled 22.5 meters, how long did it walk?
d.
What does the constant of proportionality represent in this problem?
7. Determine if the graph shows two quantities that vary directly. If possible, determine the constant of
proportionality. Explain your reasoning.
Use the equation for the constant of proportionalit
8.
9.
to determine each unknown value.
and
and
Determine whether the relationship between the two data sets in each is proportional.
10.
Data Set One
Data Set Two
279
45
434
70
11.
Data Set One
Data Set Two
7
18
11
26
12. Complete the table: The distance Ms. Juarez drives is directly proportional to the length of time she drives.
Time
(in hours)
Distance
(kilometers)
164
5
6
492
Determine the constant of proportionality and tell what it represents in each situation.
13. The number of tokens (t) game players receive is directly proportional to the number of dollars (d) that they
pay. Hailey pays $5 for 30 tokens.
Write and solve a direct variation equation to answer each question.
14. The length of a segment on a blueprint is directly proportional to the corresponding length in a house. A
segment that is 15.75 centimeters on the blueprint corresponds to a beam that is 21 feet long in the house. If
the length of a segment on the blueprint is 20.25 centimeters, what is the corresponding length in the house?
Use the given information to answer each question.
15. The equation a  1.2p shows the relationship between the number of apples (a) and the number of pears (p) in
a fruit basket. How many pears are in a basket if there are 12 apples?
16. The owner of a city parking garage uses a rate table so that he can look up the parking charges
quickly.
a.
Complete the table.
Hours
0.5
Charge
$2.25
1
1.5
2
2.5
3
3.5
4
$9.00
b.
Kristin was charged $24.75 for parking. How many hours did she park her car at the garage?
Describe how you used the table to get your answer.
17. One brand of orange juice is sold in four different sizes.
The 8-ounce bottle costs $0.99.
The 48-ounce carton costs $2.49.
18.
The 18-ounce bottle costs
$1.49.
The 64-ounce carton costs
$3.75.
a.
Calculate the unit rate (cost per ounce) for each size. Be sure to label your answer.
b.
Which size is the best buy? Explain how you know.