Download 5-1 to 5-5 HW Practice Review WS

NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lessons 5-1 to 5-5 Homework Practice
Lesson 5-1 Ratios
Express each rate (or ratio) as a fraction in simplest form.
1. 56 pencils to 64 erasers
2. 25 calculators to 20 students
3. 4 inches to 3 yards
4. 780 seconds to 1 hour
5. 6 pounds to 256 ounces
6. 5 hours to 720 minutes
Lesson 5-2 Unit Rates
Express each rate as a unit rate. Round to the nearest tenth or nearest cent, if necessary.
1. $4.60 for 5 cans of soup
2. $51 for a box of 75 tiles
3. 652 miles in 9 days
4. 116 meters in 12 seconds
5. Happy Times Summer Camp has 356 campers and 38 counselors. Play Day Summer Camp has 219 campers and 28
counselors. Which camp has the lower rate of campers to counselors?
6. A roller coaster can accommodate 346 riders in 20 minutes. How many riders could ride in 90 minutes?
Lesson 5-4 Converting Rates
Convert each rate using dimensional analysis. Round to the nearest hundredth. Use the table on pg 201 in the
book!
1. 18 m/min =
3. 250 lb ≈
cm/s
oz
2. 5.7 gal/h =
4. 12 yd ≈
c/min
in
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lesson 5-5 Proportional and Nonproportional Relationships
Determine whether the set of numbers in each table is proportional. If the relationship is proportional, identify the
constant of proportionality. Explain your reasoning.
1.
Hours Worked
1
2
2.5
3
Earnings ($)
10
20
25
30
2. Miles Driven
1
2
6
9
Toll Fare
$1.07
$1.14
$1.42
$1.63
3. Sharif started a new job working 15 hours a week. Find the constant of proportionality. Then write an equation
relating hours worked to weeks. After how many weeks will Sharif have worked a total of 75 hours?
Lesson 5-3 Complex Fractions and Unit Rates
Simplify. YOU MUST WRITE OUT THE PROBLEM FIRST!
1.
4.
4
2.
1
5
7
9
5.
7
2
3
4
6
7
3.
8
11
6.
4
2
5
6
4
15
2
5
7
7. RUNNING Johnathan can jog 3 5 miles in 8 hour. Find his average speed in miles per hour.
3
8. DRIVING A truck driver drove 120 miles in 1 4 hours. What is the speed of the truck in miles per hour?
1
9. READING In 10 minutes, Charlotte reads 8 3 pages of a book. What is her average reading rate in pages per minute?
Write each percent as a fraction in simplest form.
1
10. 45 2 %
1
11. 30 4 %
1
12. 75 3 %
NAME _____________________________________________ DATE ____________________________ PERIOD _____________
Lesson 5-3 Problem-Solving Practice
Complex Fractions and Unit Rates
YOU MUST START WITH WORDS!!!
1. TRIP Caroline drove 350 miles to her grandmother’s
1
house. The trip took her 5 4 hours. What was her
average speed in miles per hour?
2. FUEL In 2 hours, a small airplane used 5 3 gallons of
fuel to fly. How many gallons were used each hour?
3. COOKIES Madison wants to make cookies for her
little sister’s birthday party. She is cutting a roll of
1
cookie dough into pieces that are 2 inch thick. If the
roll is 13 inches long, how many cookies can she
make?
4. FABRIC Anita is making a curtain to surround a table.
1
She bought 3 yards of fabric. Her total cost was $13.
4
What was the cost per yard?
9
5. RUNNING Russell runs mile in 5 minutes. How
10
many miles does he run in one minute?
2
6. MONEY The Franklins have a home loan with an
1
interest rate of 4 4 %. Write the percent as a fraction in
simplest form.