Lesson 7 Problem-Somving Practice

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6th grade PreAp Math Test Review on (Convert Between Systems, Graph Proportional Relationships &
Constant Rate of Change); Chapter 4 Lesson 7, Chapter 5 Lessons 1-5. This is just a sample of what is on the
test. Any skills which we have done this vear may be on the test. Handed out Wednesday 11/12. Review is
due November 20, 2014. Test is Monday Nov. 24. All work should be shown and attached if on a separate
sheet of paper. Highlight vour final answer!
Lesson 7 Problem-Somving Practice
Convert Measurement Units
1. The average weight of a baby at birth is 7 pounds. HOW
many ounces is the average weight of a baby?
2, The height of Niagara Falls is 56 meters. How many
kilometers high is Niagara Fails?
3. The gasoline tank of a minivan holds 18 gallons. How
many quarts can the tank hold?
4. Cell phones can weigh as little as 56 grams. How many
kilograms can the cell phone weigh?
Convert Between Systems
I
1. Leola ran in a 10-kilometer race. About how many
miles did she run?
2. Dallison cooked a 5-pound roast for supper. What
is the estimated mass in grams?
3. Nykia swam the length of her swimming pool twice.
The dimensions of her pool are shown below. About
how many meters did she swim?
7ft
21ft
4. Beryl made 5 gallons of lemonade for a family
gathering. About how many liters of lemonade did
Beryl make?
Graph Proportional Relationshfps
1. Rachel baked 3 cakes in 2 hours, 4 cakes in 3 hours, and
5 cakes in 4 hours. Determine whether the number of
cakes baked is proportional to the number of hours.
2. It rained 2 inches in one hour, then after two hours, it
had rained a total of 3 inches. After four hours, it had
rained a total of 5 inches. Determine whether the
number of inches of rainfall is proportional to the
[Y
number of hours.
Y
x
1
2
3
4
5
x
1
2
3
4
5
Constant Rate of, Change
1. At 2 P.M., the level of the water in the pool was 10 feet.
At 6 P.M., the level of water was 2 feet. Determine the
constant rate of change of the water.
2. JoAnne is depositing money into a bank account. After
5. The graph represents how far Toby biked given the
6. Determine the constant rate of change.
number of weeks he has been biking. Determine the
constant rate of change.
Biking
40
.....
3O
.u
20 ----,
10--
"12345678
Weeks
3 months there is $150 in the account. After 6 months,
there is $300 in the account. Determine the constant
rate of change of the account.
Monihs
4 5 6 7
, ,,
, ,
8 10 12 14
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Lesson 1 ProblemoSolving Practice
Percents and Fractions
1. The Titanic Toy Company has a 4% return rate on its
products. Write this percent as a fraction in simplest
2. There are 4 trombones out of 25 instruments in the
Landers town band. What percent of the instruments
are trombones?
form.
3. Cynthia's favorite clothing store is having a 30% off
4. In Janie's class, 7 out of 25 students have blue eyes.
What percent of the class has blue eyes?
sale. What fraction represents 30%?
F
7. The percent of students who live within different ranges
of distances from the school was recorded in a table.
What fraction of the students live less than one mile
8. The local bowling team won 13 out of 20 of their
games this year. What percent of their games did the
team win?
from the school?
Distance
Percent
from School
of Students
Less than 1 mile
15%
1- 5 miles
More than 5 miles
68%
17%
Course 1 . Chapter 5 Apply Proportions to Percent
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Lesson 2 ProbJem°Solving Practice
Percents and Decimals
1. According to the U.S. Census, 76% of U.S. workers
commute to work by driving alone. Express 76% as a
2. A player's batting average was 0.29 rounded to the
nearest hundredth. Express 0.29 as a percent.
decimal.
3. In a recent U.S. midterm election, 39% of eligible
adults voted. What is 39% written as a decimal?
5. When asked to choose their favorite sport, 27% of U.S.
adults who follow sports selected professional football.
What decimal is equivalent to 27%?
4. In a recent season, Jason Kidd of the Dallas Mavericks
had a field goal average of 0.43 rounded to the nearest
hundredth. What is 0.43 written as a percent?
6o The table shows the percent of students in the sixth
grade who chose each kind of drink as their favorite.
Express the percent of students who chose tea as a
decimal.
Drink
Tea
Percent
of Votes
22%
Cocoa
5%
Water
18%
Milk
24%
Juice
31%
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Lesson 4 ProblemoSolving Practice
Estimate Using Benchmark Percents
1. The table shows how the 215 sixth-grade students at
Westside School get to school. About how many of the
sixth-grade students walk to school?
2. In a recent regular season, the WNBA Houston Comets
won 54.76% of their games. They had 42 games in
their regular season. About how many games did they
win?
Bus
56%
Car
Walk
20%
24%
3. The 'sales tax rate in Lacon is 9%. About how much tax
would you pay on an item that costs $61?
4. The concession stand at a football game served 178
customers. Of those, about 52% bought a hot dog.
About how many customers bought a hot dog?
Lesson 3 Problem-Solving Practice
Percents Greater Than 100% and Percents Less Than 1%
1. Kilroy's Web site business has increased every year for
the last 3 years. Express the percent it increased during
the second year as a decimal and as a fraction in lowest
terms.
First
148%
Second
115%
Third
186%
2. Jocelyn expects her new software company to increase
3
*
*
its sales next year 2 ÿ times their present value.
Express this increase as a percent.
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Lesson 5 ProbmemoSoiving Practice
Find the Part of a Whole
The results of a survey about what 432 students would like as a career are shown below. Use the graph to answer
Exercises 1-3. Round to the nearest whole number if necessary.
Future Careers
1. How many of the students want to be teachers?
2. How many students want to work as doctors or nurses?
3. How many students did not want to be lawyers?
4. The school took in $875 at the bake -sale fundraiser.
Sixty-eight percent of the money came from cupcake
sales. How much money did the school make selling
cupcakes?
5. Eduardo spent 35% of his time at the theme park on
6. Jesse was in the lead for 75% of the laps during the
roller coasters. If he was there for 8 hours, how much
track race. If the race lasted 12 laps, how many laps
time did he spend on roller coasters?
did Jesse lead?
Course 1 . Chapter 5 Apply Proportions to Percent