A ratio is a multiplicative comparison of two quantities

describing the same attribute.

A ratio comparing two quantities with different kind of units is

a(n): rate

A rate that is simplified so that it has a denominator of i is a(n):

unit rate

Equivalent ratios express the same relationship between

quantitities.

Columns filled with pairs of numbers that have the same ratio

are: ratio tables

Name Period Date

6th grade PreAP Math Test Review onChapter 4 Lessons 1-5 and notes. This isiust a sample of what is on the test. Any.skills which we have done this year, mav be on test. Handed out Monday 10/27.

Review is due Friday, October 31. Test is Tuesday, November 4, 2014. All work should' tbe shown and attached if on a separate shee of paper. Highlight your final answer!

Lesson 1 Problem-Solving Practice

Ratios

For Exercises 1-3, use the figure below. The circle has been divided in eighths.

1. Determine the ratio of shaded sections to stripedsections. Then explain its meaning.

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2. Determine the ratio of shaded sections to the total numberof sections. Write the ratio as a fraction in simplest formand as a decimal. Then explain its meaning.

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3. What is the ratio of empty sections to striped orshaded sections? Explain its meaning.

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4. In a recent NFL season, the Miami Dolphins won 4 gamesand the Oakland Raiders won 5 games. What is the ratioof wins for the Dolphins to wins for the Raiders?

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5. Rod has 10 rosebushes, 2 of which produce yellowroses. Write the ratio 2 yellow rosebushes out of l Orosebushes in simplest form.

6. Oscar is 16 years old and his sister Julia is 12 years old.What will be the ratio of Oscar's age to Julia's age in 2years? Write as a fraction in simplest form.

NAME DATE PERIOD

Lesson 2

Rates

Problem-Solving Practice

For Exercises 1 and 2, use tile table. It shows the types of containers and prices of Jolly Juice Orange Juice.

Containers Price

8 oz $0.96

16 oz $1.60

32 oz $2.56

64 oz $3.84

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1. Determine the unit rate for an 8-ounce container ofJolly Juice, Explain your answer.

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2. Determine the unit rates for each size, Then order thesizes from the least to greatest unit rates.

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3. Four friends paid a total of $32 for movie tickets,What is the ratio $32for 4people expressed as a unitrate?

4. At a warehouse, the employees can unload 18 trucks in 6hours. What is the unit rate for unloading trucks?

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NAME

Lesson 3 Problem-Solving

Ratio and Rate Tables

For Exercises 1-4, use the ratio tables below to solve each problem.

DATE

Practice

PERIOD

Table 1

Cups of Flour 1 ÿ)ÿ ÿ /ÿ

Number of Cooldes 30 ÿ) D ÿ'(.) €/ÿD

Table 2

Number of Books ÿ 6 (ÿ'[

Cost in Dollars ÿ' 10 [5"

1. In Table 1, how many cookies could you make with 4cups of flour?

2. In Table 1, how many cups of flour would you need tomake 90 cookies?

3. In Table 2, at this rate how many books can you buywith $5?

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4, In Table 2, at this rate, how much would it cost to buy9 books?

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NAME DATE PERIOD

Lesson 4 Problem-Solving

Graph Ratio Tables

A photography store sells black and white film. Thecost of 1, 2, and 3 rolls of black and white film areshown in the table.

Number of Rolls Cost ($)1 42 83 12

1. List this information as ordered pairs (number ofrolls of film, cost).

2. Graph the ordered pairs. Then describe the gTaph.

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In football, each field goal made scores 3 points. Thetable shows this relationship.

Field Goals ÿ,Iade

01

2

3

Total Points

0

3

69

5. List this information as ordered pairs (field goalsmade, total points).

I d "ÿ) q)6. Graph the ordered pairs. Then describe the gTaph.

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Course 1 . Chapter

II

NAME DATE PERIOD

Lesson 5 Problem=Solving Practice

Equivalent Ratios and Rates

1. Jessica can do 60 jumping-jacks in 2 minutes, Dale cando 150 jumping jacks in 5 minutes, Are these ratesequivalent? Explain your reasoniÿ.

2, A cookie recipe that yields 48 cookies calls for 2 cupsof flour. A different cookie recipe that yields 60cookies calls for 3 cups of flour. Are these ratese_qÿnt? Explain your reasoningÿ

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3. A music store is having a sale where you can buy 2new-release CDs for $22 or you can buy 4 new-releaseCDs for $40. Are these rates equivalent? Exÿin._y_2ur

5. At the school book sale, Michael bought 3 books for$6, Darnell bought 5 books for $10, Are these ratesequivalent? Ex lapÿy_our re_ asoning.

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reasoning.

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4, On the Mertler's vacation to Florida, they drove 180miles in 3 hours before stopping for lunch. After Iunchthey drove 120 miles in 2 hours before stopping for gas,Are-these rates equivalent? Explain your reasoning,

6, One school survey showed that 3 out of 5 students owna pet. Another survey showed that 6 out of 11 studentsown a pet. Are these results equivalent? Exlÿ. yourrÿg,

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Course 1 . Chapter 4 Understand Proportions

NAME DATE PERIOD

Lesson I Problem-Solving Practice

Unit Rates

1. During Tracy's trip across the couniT, she traveled2,884 miles. Her trip took 7 days. Calculate a unit rateto represent the average miles she traveled per dayduring the trip.

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!3. Randall reco['d'ÿd 8 songs on his most recent CD, The

total length of the CD is 49 minutes. Calculate a unitrate to represent the average length per song on the CD.Round to the nearest hundredth.

2. Steve was offered $5,025 per year for a weekendlifeguarding job at a local pool. He wants to know howmuch his monthly income will be at this salary level.What is hiÿ rate of pay in dollars per month?• " <'ÿ) g;Z"o,<ÿ-- ÿ 16 ?75

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4. Hana paid $1, r the carpet in her living room. Theroom has an area of 251.2 square feet. What was herunit cost of carpeting in dollars per square foot? Roundto the nearest cent.

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- qO5. An 8-ounce can of tomatoes costs $1.14, A 12-ounce

can costs $1,75. Which can of tomatoes costs the leastper ounce?

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6. Last month, Hao's dog ate :40 cans of dog food in 31days. How many cans should Hao buy to feed his dogfor the next 6 days?

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Course 2, Chapter 2 Proportional Relationships