UNIT 1: Ratios, Rates, & Proportions
|
|
- Derick Jenkins
- 6 years ago
- Views:
Transcription
1 UNIT 1: Ratios, Rates, & Proportions
2 Review: fractions A fraction allows you to determine two quantities and their proportion to each other as part of a whole. NUMERATOR number on top (part) DENOMINATOR number on bottom (whole) 2 10 For example: You ate four slices of pizza. The pizza was cut into 8 slices. You ate 4 slices of pizza. The pizza was cut into 8 slices. The slices that you ate is represented by 4. 4 parts of the whole 8 8 eaten.
3 Review: decimals A decimal is a part of a whole number broken down over increments of 10 (exponentially 10, 100, 1000, 10000, etc.) For example: 4 slices of pizza of out 8 have been eaten. This represents eaten 4 of the pizza eaten. 8 Use your calculator, what decimal do you get? 4 8 =.5
4 REVIEW: decimals
5 Ratios A ratio allows you to compare two quantities that are of the same nature, in a given order and have the same type of units. You can compare for example: Boys with boys Girls with girls Boys with girls apples with oranges circles with squares Length of a rectangle with the width of a rectangle and much more!!!
6 Ratios The ratio of the number a to the number b is represented as: a:b or a b a is the first term of the ratio and b is the second term of the ratio. Find the ratio in this example: For every 2 steps Billy takes he walks 5 meters. The first term is 2 The second term is 5 The ratio 2:5
7 Terms in the Ratio A term is a number that represents a quantity in a ratio. Ex. 5 to 8 4 : Terms
8 Find the ratio What is the ratio of: a) All apples to oranges b) Green apples : All Fruits 6 to 3 3:9 c) all apples all fruits 6 9
9 Part-to-part ratios A Part-to-Part ratio is when you compare 2 different parts of a group to each other. The ratio of circles to squares 4 to 6 circles : squares circles squares 4:6 4 6
10 Part-to-whole ratios A Part-to-Whole ratio is when you compare part of the group to the whole group. The ratio of circles to all shapes can be represented in 3 ways: 4 : 10 or 4 to 10 or 4 10 The ratio of squares to all shapes can be represented in 3 ways: 6 : 10 or 6 to 10 or 6 10
11 Practice ratios Christine is 3 years old and weighs 20 kg. Mr. Freckles is 50 years old and weighs 77 kg. 1) What is the ratio of Christine s age to Mr. Freckles age? 2) What is the ratio of Mr. Freckles mass to Christine s mass? ***Write the ratios in all three ways.
12 Reducing ratios METHOD 1: Remove the GCF (Greatest Common Factor) from the Numerator and Denominator. Then divide each term or the ratio by the GCF. Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24 Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, = 12 = 2 3
13 Reducing ratios METHOD 2: Divide the Numerator and Denominator by the same number until you cannot anymore = 2 = 10 = = 2 = 10 = 1 3
14 Your turn to reduce a ratio Reduce 24: 108 or = = =
15 Scale factor (SF) The scale factor is the number you multiply or divide each term in the ration to get the equivalent terms in another ratio.
16 What is the scale factor (SF)? 10 : 12 = 30 : 36 SF = 3 4 to 10 = 16 to 40 SF = = SF = 5
17 Rate A rate is a comparison of two quantities measured in different types of units. *** Unlike ratios, rates always include units. _25 km_ or _1 photocopy_ or _12 apples_ 1 hr 10 $ 4
18 Speed is a very common rate Speed is measured by distance over time Ex. _100 meters_ = ( 10) 10 meters = 10 seconds ( 10) 1 second 10 m/s
19 Rate example For Example: Peter earned $27 for 3 hours worth of work. How much did he make per hour (Unit = money & Unit = hour)? $27 3h = $9 per hour or 3h $27 =.11 hours per dollar (18min to earn $1)
20 Equivalent rates An equivalent rate is a rate that represents the same comparison. _12 apples_ = _3 apples_ $ 4 $1 _100 km_ = _50 km 2 h 1 h
21 Unit rate Unit rates are rates that have a second unit (or denominator) that is 1. Ex. _2 laps_ or _3 apples_ 1 minute $1 or _100 km = 100 km/h 1 hour
22 How to convert to a unit rate 1) Write your rate as a fraction (include units!!!) 2) Divide your numerator by your denominator, this is now your new numerator. 3) Your denominator becomes 1. Ex. 400 km in 3.5 hours 400 km 3.5 hours = km 1 hour
23 Practice: converting to unit rate You just got your first summer job! On the first day, you worked 7 hours and made 120 dollars. How much did you make per hour? (This is unit rate!)
24 Comparison of Ratios and of Rates Two methods to compare ratios and rates: 1) We find the same common denominator or the same basis of comparison. Ex: 2 3 < , since < words 4 min > 95 words 6 min, since 210 words 12 min > 190 words 12 min
25 Practice method 1 comparing rates and ratios
26 Comparison of Ratios and of Rates 2) We calculate their quotients (divide the numerator by the denominator). Ex: 50 > , since = 2.5 and = m 5s < 500 m 4 s, since 120 m/s < 125 m/s
27 Practice method 2 comparing rates and ratios
28 Comparing rates It is very important to know how to compare rates! So how do you do this? Simple! Change your rates to unit rates Ex. Which store charges more for pears? Store A: $12 for 10 pears Store B: $8 for 6 pears
29 Important conversions : time Hours to minutes to seconds X 60 X 60 1 hr = 60 minutes = 3600 seconds 60 minutes 1 hour 60 seconds 1 minute A) How many hours is 240 minutes? B) How many minutes is 480 seconds?
30 Important conversions : distance kilometers to meters meters to kilometers X km = 1000 m 1000 m = 1 km 1 km 1000 m A) How many meters is 2.5 kilometers? B) How many kilometers is 550 meters?
31 Practice: comparing rates Which car is traveling faster? Car A: 100 km / hour Car B: 2 hours to travel 220 km Car C: 40 km in 30 minutes
32 Equivalent ratios and rates If two ratios or rates have the same quotient (result once divided), they are equivalent. Ex: 1) the ratios 8 5 and are equivalent since 8 5 = 1.6 and = 1.6 2) the rates 10 km 1 hr and 40 km 4 hrs are equivalent since 10 km 1 hrs = 10 km/hr and 40 km 4 hrs = 10 km/hr
33 Extremes Proportions When two ratios or rates are compared and determined to be equivalent, they are proportional. Proportions involves comparing, multiplying and dividing. So! If the ratio of a to b is equal to the ratio of b to c then a:b = c:d or a b = c d is a proportion. A proportion has 4 terms: Means a: b = c:d
34 Proportion: property of the crossproducts In every proportion, the product of the end terms is equal to the product of the middle terms. So, from the proportion a b = c d, we find the equality ad = bc Cross-products a b = c d From the proportion 4 2 = 16 8,we know that 4 x 8 = 2 x = 32
35 Proportions practice Are the following proportions true or false? a) 12 = b) 21 = c) 1.4 = d) 2.5 =
36 A new proportion given a proportion Given a proportion, we get a new proportion by - interchanging the end terms if a b = c d, then d b = c a - interchanging the middle terms if a b = c d, then a c = b d - inverting the ratios if a b = c d, then b a = d c
37 A new proportion given a proportion Given the proportion 5 3 = 10 6, find three new proportions. 1) 2) 3)
38 Finding a missing term in a proportion Use cross-products! Ex: 3 = x 3 = x 15 times 24 divided by = x 120 = x
39 Find the missing proportion An employee s salary is proportional to the duration of his work. For 3 hours of work, he receives $24 and for 12 hours, $96. How much will de receive for 15 hours of work? Number of hours Salary ($) x HINT! Use cross-products!
40 Proportions: challenge question 7 pounds of strawberries makes 8 fruit roll-ups. If every batch of fruit roll-up requires the same amount of strawberries, how many pounds of strawberries are required to make 20 fruit rollups? A) B) 2.5 C) 17.5 D) 23 *** HINT: Set up a ratio and use cross-product!!!
The City School PAF Chapter Prep Section. Mathematics. Class 8. First Term. Workbook for Intervention Classes
The City School PAF Chapter Prep Section Mathematics Class 8 First Term Workbook for Intervention Classes REVISION WORKSHEETS MATH CLASS 8 SIMULTANEOUS LINEAR EQUATIONS Q#1. 1000 tickets were sold. Adult
More informationArithmetic Revision Sheet Questions 1 and 2 of Paper 1
Arithmetic Revision Sheet Questions and of Paper Basics Factors/ Divisors Numbers that divide evenly into a number. Factors of,,,, 6, Factors of 8,,, 6, 9, 8 Highest Common Factor of and 8 is 6 Multiples
More information- PDF Download Topics : 1. Simplification 2. Number Series 3. Percentage 4. Profit and Loss 5. Simple Interest and Compound Interest 6. Ratio and Proportion 7. Time and Work 8. Time Speed and Distance
More informationWe can use fractions to describe things that have been broken into equal parts, for example:
Fractions Fractions describe parts of a whole. Part Whole The top of the fraction is called the numerator, and the bottom of the fraction is called the denominator. The numerator refers to a section of
More informationMath 6 Unit 7 Notes: Proportional relationships
Math 6 Unit 7 Notes: Proportional relationships Objectives: (3.2) The student will translate written forms of fractions, decimals, and percents to numerical form. (5.1) The student will apply ratios in
More informationREVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev 1 (Note: No calculators are allowed at the time of the test.)
- - REVIEW PROBLEMS FOR NUMERICAL SKILLS ASSESSMENT TEST-Rev (Note: No calculators are allowed at the time of the test.). 9 + 67 =. 97 7 =. 7 X 6 =. 6 7 =. = 6. 6 7 7. Anne saves $7 every month out of
More informationAnswers. Chapter 1. Chapter 2
Answers Chapter Worksheet.,.,. 7,.,7. twenty-seven thousand, four hundred ninety-five. forty-eight thousand, two hundred thirty 7. eighty-four thousand. ninety thousand, six hundred five.,.,.,.,.,. 7,.,,,.,,,
More informationRatios, Rates, and Conversions. Section 4-1 Part 1
Ratios, Rates, and Conversions Section 4-1 Part 1 Vocabulary Ratio Rate Unit Rate Conversion Factor Unit Analysis Definition Ratio is a comparison of two quantities by division. The ratio of a to b can
More informationPART I: NO CALCULATOR (200 points)
Prealgebra Practice Final Math 0 OER (Ch. -) PART I: NO CALCULATOR (00 points) (.). Find all divisors of the following numbers. a) b) 7 c) (.). Find the prime factorization of the following numbers. a)
More informationTABLE OF CONTENTS. About Finish Line PA Core Math 5. UNIT 1: Big Ideas from Grade 5 7 UNIT 1 REVIEW 39
TABLE OF CONTENTS About Finish Line PA Core Math 5 UNIT 1: Big Ideas from Grade 5 7 LESSON 1 CC.2.1.5.C.2 Multiplying Fractions [connects to CC.2.3.6.A.1] 8 LESSON 2 CC.2.1.5.B.2 Operations with Decimals
More informationChapter 6 Ratios and Percentages
Chapter 6 Section 6.1 Ratios Introduction Ratios are used to compare quantities. Ratios are written with a colon (:). A ratio can be expressed in a number of ways. For example if John is five years old
More informationMATH Workbook. Copyright: SEMANTICS reproduction of this in any form without express permission is strictly prohibited. 1
MATH Workbook 1 Foreword One of the prime objectives of education is to develop thinking skill in learners. Thinking skills is essential to success in education, career and life in general. Mathematical
More informationCHAPTER 7: RELATING FRACTIONS, DECIMALS, AND PERCENTS
CHAPTER 7: RELATING FRACTIONS, DECIMALS, AND PERCENTS 7. CONVERTING FRACTIONS TO DECIMALS P. -3 7. CONVERTING DECIMALS TO FRACTIONS P. 4-5 7.3 CONVERTING DECIMALS AND PERCENTS P. 6-7 7.4 CONVERSIONS REVIEW
More informationMFM 1P. Foundations of Mathematics Grade 9 Applied Mitchell District High School. Unit 2 Proportional Reasoning 9 Video Lessons
MFM 1P Foundations of Mathematics Grade 9 Applied Mitchell District High School Unit 2 Proportional Reasoning 9 Video Lessons Allow no more than 14 class days for this unit! This includes time for review
More informationLesson 7. Divide Fractions by a Whole Number Essential Question How do you divide a fraction by a whole number? Try This! Divide. 3_.
Name Divide Fractions by a Whole Number Essential Question How do you divide a fraction by a whole number? Lesson 7 Four friends share 2_ 3 of a quart of ice cream equally. What fraction of a quart of
More informationYear 8 Term 1 Math Homework
Yimin Math Centre Year 8 Term 1 Math Homework Student Name: Grade: Date: Score: Table of contents 4 Year 8 Term 1 Week 4 Homework 1 4.1 Topic 1 Percentages.................................. 1 4.1.1 Simple
More information5.06 Rationalizing Denominators
.0 Rationalizing Denominators There is a tradition in mathematics of eliminating the radicals from the denominators (or numerators) of fractions. The process is called rationalizing the denominator (or
More informationNAME: UNIT 2: Ratio and Proportion STUDY GUIDE. Multiple Choice Identify the choice that best completes the statement or answers the question.
NME: UNIT 2: Ratio and Proportion STUY GUIE RP.1 Multiple hoice Identify the choice that best completes the statement or answers the question. 1. Use the table to write the ratio of green beans to peppers.
More informationUNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES.
UNIT 3: POWERS. SQUARE ROOTS. SCIENTIFIC NOTATION. PERCENTAGES. 3.1. POWERS 3.1.1. POWERS OF INTEGERS A power is an abbreviated way of writing a product of equal factors. a a a a a = a in powers, the repeated
More informationUNIT 7 MULTIPLICATIVE AND PROPORTIONAL REASONING
UNIT 7 MULTIPLICATIVE AND PROPORTIONAL REASONING INTRODUCTION In this Unit, we will learn about the concepts of multiplicative and proportional reasoning. Some of the ideas will seem familiar such as ratio,
More informationH.S.E. PREP SEC
H.S.E. PREP COURSE @ SEC VERSION 2.0, 2018 MODULE B RATIONALS STUDENT WORKBOOK H.S.E. PREP COURSE MODULE B: RATIONALS CONTENTS REVIEW... 3 OPERATIONS WITH INTERGERS... 3 DECIMALS... 4 BASICS... 4 ADDING
More informationUnit 3 Study Guide Adv Math 7
Unit Study Guide Adv Math 7 1) 21 2) 8 4 ) 1 4 1 4) Noah can make 2 1 stickers in 20 minutes. How many stickers can she make each hour? ) In 2.2 minutes, Dr. Hill can type 8 1 8 pages. What is her average
More informationContents: FORMULAS FROM GEOMETRY STATISTICS DISTANCE, RATE, TIME SIMPLE INTEREST ANSWERS FOCUS EXERCISES INTRODUCTION
Section 1.7 Formulas Contents: FORMULAS FROM GEOMETRY STATISTICS DISTANCE, RATE, TIME INTRODUCTION SIMPLE INTEREST ANSWERS FOCUS EXERCISES Many formulas in a variety of fields require the order of operations
More informationMATH STUDENT BOOK. 8th Grade Unit 4
MATH STUDENT BOOK 8th Grade Unit 4 Unit 4 Proportional Reasoning Math 804 Proportional Reasoning Introduction 3 1. Proportions 5 Proportions 5 Applications 11 Direct Variation 16 SELF TEST 1: Proportions
More information(To be administered after NPS Grade 7 Scope and Sequence Units 3&4) Assessed Standards: 7.RP.1 7.RP.2 7.RP.3 7.EE.3
ADAPTED NJDOE ASSESSMENT GRADE 7 (To be administered after NPS Grade 7 Scope and Sequence Units 3&4) Assessed Standards: 7.RP. 7.RP. 7.RP.3 7.EE.3 [Type text] The Newark Public Schools - Office of Mathematics
More information1, are not real numbers.
SUBAREA I. NUMBER SENSE AND OPERATIONS Competency 000 Understand the structure of numeration systems and ways of representing numbers. A. Natural numbers--the counting numbers, 23,,,... B. Whole numbers--the
More informationS2 (2.2) Percentages.notebook September 24, 2015
Daily Practice 29.5.2015 Q1. Round 71.55 to the nearest unit Q2. Find 25% of 240 L.I: Today we will be revising how to find a fraction of an amount and use this information to help us find percentages
More informationChapter 1: Problem Solving. Chapter 1: Problem Solving 1 / 21
Chapter 1: Problem Solving Chapter 1: Problem Solving 1 / 21 Percents Formula percent = part whole Chapter 1: Problem Solving 2 / 21 Percents Formula percent = part whole part = percent whole Chapter 1:
More informationS2 (2.4) Percentages.notebook November 06, 2017
Daily Practice 28.8.2017 Q1. Find 50% of 360 Q2. Round 87.55 to the nearest unit Q3. Multiply out 3(2m + 4) Today we will be learning how to find a fraction of an amount. Q4. -15 + 2 x 3 Q5. 48 x 200 Finding
More informationk x Unit 1 End of Module Assessment Study Guide: Module 1
Unit 1 End of Module Assessment Study Guide: Module 1 vocabulary: Unit Rate: y x. How many y per each x. Proportional relationship: Has a constant unit rate. Constant of proportionality: Unit rate for
More informationChapter Representing Patterns, pages MHR Answers
. a) x -, x - b) Example: The processes are similar in that the like terms were combined. The processes are different in that one involved addition and the other involved subtraction.. Yes. Example: The
More informationUnit 2: Ratios & Proportions
Unit 2: Ratios & Proportions Name Period Score /42 DUE DATE: A Day: Sep 21st B Day: Sep 24th Section 2-1: Unit Rates o Rate- A ratio that compares quantities with different kinds of units. o Unit Rate-
More informationUnit 8: Proportional Reasoning. Rates & Scaled Diagrams
Unit 8: Proportional Reasoning Rates & Scaled Diagrams Rates In Grade 8, you explored the difference between a rate and a unit rate In this unit, students will represent a rate in different ways, determine
More informationMath Fundamentals for Statistics (Math 52) Homework Unit 6: Rates/Ratios/Proportions. Scott Fallstrom and Brent Pickett The How and Whys Guys
Math Fundamentals for Statistics (Math 52) Homework Unit 6: Rates/Ratios/Proportions Scott Fallstrom and Brent Pickett The How and Whys Guys Homework Unit 6 Page 1 6.1: Comparing Objects Ratios and Rates
More informationSimplifying Fractions.notebook February 28, 2013
1 Fractions may have numerators and/or denominators that are composite numbers (numbers that have more factors than one and itself). When this is the case, fractions can be simplified to their lowest term.
More informationContents. Solving Real-World Problems with Ratios and Percents Using Proportional Relationships to Solve Multi-Step Problems
Contents New York State Common Core Learning Standards for Mathematics Lesson Computing Unit Rates... Lesson Identifying the Constant of Proportionality... 7.RP. 7.RP..b Lesson Lesson Solving Real-World
More informationFor full credit, show all work. You do not need to check unless the problem asks you to. 2. The bus seats at most 60 people. x 60
ccelerated Review 5: Inequalities & Proportional Relationships Name: For full credit, show all work. You do not need to check unless the problem asks you to. Write an inequality for each sentence.. You
More informationLesson 7.1: Factoring a GCF
Name Lesson 7.1: Factoring a GCF Date Algebra I Factoring expressions is one of the gateway skills that is necessary for much of what we do in algebra for the rest of the course. The word factor has two
More informationALL INDIA PRELIMS TEST SERIES 2019
Ans:1)(c) Explanation: Let the speed of the bus be 5x and that of the train be 3x. And the distance travelled in the train and bus be 7y and 9y respectively. We know that the time is given by the formula,
More information2.1 Fractions, Decimals and Percentages. 2.2 Fractions and Percentages of Quantities. 2.3 Quantities as Percentages. 2.4 More Complex Percentages
Contents STRAND A: Computation Unit 2 Percentages Student Text Contents Section 2. Fractions, Decimals and Percentages 2.2 Fractions and Percentages of Quantities 2. Quantities as Percentages 2. More Complex
More informationChapter 32 Exercise 32.1
Chapter Exercise. Q.. (i) x + y = x = y = y = x = y = x = (,) (,) x + y = (,) (,) 7 (ii) x + y = x = y = y = x = y = x = (,) (,) x + y = 7 (,) (,) Active Maths Strands Ch Solutions (iii) 7x y = x = y =
More informationDay 3. Other Word Problems. Practice: Direct Variation
Name: Practice: Direct Variation Date: BLM 5.1.1... 1. Find the constant of variation for each direct variation. a) The cost for a long-distance telephone call varies directly with time. A 12-min phone
More informationReteaching. Ratios. For every 6 boys in the class, there are 5 girls in the class. Write each ratio in two other ways.
- Ratios on a Tape Diagram: The tape diagram shows the ratio of boys to girls in a swimming class. How can you describe the ratio of boys to girls? Boys Girls For every 6 boys in the class, there are girls
More information3 Ways to Write Ratios
RATIO & PROPORTION Sec 1. Defining Ratio & Proportion A RATIO is a comparison between two quantities. We use ratios everyday; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell
More informationPercentage. 5. Two numbers are respectively 20% and 25% of a third number, what percentage is the first of the second? 3 rd = 100
1. Express 87 % as a fraction. 87 1 2 17 = = 2 7 8 2. Express the fraction as a percentage. 1 2 = = 12 1 % 8 2 2 3. Express 200 as a percentage of 00. 200 = 40% 00 4. In a school there are 300 boys and
More information3 Ways to Write Ratios
RATIO & PROPORTION Sec 1. Defining Ratio & Proportion A RATIO is a comparison between two quantities. We use ratios every day; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell
More information6, 6 to 8 8. , 3 : 1, or 3 to 1 1
- Ratios on a Tape Diagram: The tape diagram shows the ratio of boys to girls in a swimming class. How can you describe the ratio of boys to girls? Boys Girls For every 6 boys in the class, there are girls
More information5 Find the perimeter of a square whose side has a length of 6. (Jound 2,761 to the nearest hundred. 12 Subtract 2.18 from 13.
Part A Answer all 20 questions in this part. Write your answers on the lines provided in PART A on the separate answer sheet. Use only a No.2 pencil on the answer sheet. 1 Add: 34 + 623 + 89 7 What is
More informationLesson 11: Ratios of Fractions and Their Unit Rates. Julia:
Classwork Example 1: Who is Faster? During their last workout, Izzy ran 2 " miles in 15 minutes and her friend Julia ran 3 ( miles in 25 minutes. Each girl # # thought she was the faster runner. Based
More informationFor use only in Whitgift School. IGCSE Higher Sheets 1. IGCSE Higher
IGCSE Higher Sheet H--0a- Fractions Sheet H- -0a- Fractions Sheet H- -04a-b- Surds Sheet H-4-04a-b- Surds Sheet H-5-04c- Indices Sheet H-6-04c- Indices Sheet H-7-04c- Indices Sheet H-8-04c-4 Indices Sheet
More informationUnit 2 ~ Comparing Bits & Pieces
Unit 2 ~ Comparing Bits & Pieces Investigation 1: Making Comparisons I can use rates, ratios, and percents to solve problems. Directions: Please complete the necessary problems to earn the maximum number
More informationMath 1201 Unit 3 Factors and Products Final Review. Multiple Choice. 1. Factor the binomial. a. c. b. d. 2. Factor the binomial. a. c. b. d.
Multiple Choice 1. Factor the binomial. 2. Factor the binomial. 3. Factor the trinomial. 4. Factor the trinomial. 5. Factor the trinomial. 6. Factor the trinomial. 7. Factor the binomial. 8. Simplify the
More informationDELHI PUBLIC SCHOOL, M R NAGAR, MATHURA, REVISION ASSIGNMENTS, CLASS VIII, MATHEMATICS
CHAPTER: COMPARING QUANTITIES TOPIC: RATIO, PERCENTAGE AND PERCENTAGE INCREASE/DECREASE: SET : 1 1. Rajesh decided to cycle down to his grandma s house. The house was 42 km away from his house. He cycled
More informationName: Period: Date: FOMP 10 Final Review Part 2 v1. Short Answer. Level 1-2 Questions. 1. What expression does the diagram represent?
Period: Date: FOMP 10 Final Review Part 2 v1 Short Answer Level 1-2 Questions 1. What expression does the diagram represent? 2. What is the factored form of the expression 5x 2 45? 3. What value of k makes
More informationSolving and Applying Proportions Name Core
Solving and Applying Proportions Name Core pg. 1 L. 4.1 Ratio and Proportion Notes Ratio- a comparison of 2 numbers by -written. a:b, a to b, or a/b. For example if there are twice as many girls in this
More informationMULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
INTRODUCTORY ALGEBRA/GRACEY CHAPTER 1-2.3 PRACTICE Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Evaluate the algebraic expression for the
More informationVocabulary & Concept Review
Vocabulary & Concept Review MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. 1) The are 0, 1, 2, 3,... A) factor B) digits C) whole numbers D) place
More informationMath Fundamentals for Statistics (Math 52) Homework Unit 6: Rates/Ratios/Proportions. Scott Fallstrom and Brent Pickett The How and Whys Guys
Math Fundamentals for Statistics (Math 52) Homework Unit 6: Rates/Ratios/Proportions Scott Fallstrom and Brent Pickett The How and Whys Guys Homework Unit 6 Page 1 6.1: Comparing Objects Ratios and Rates
More information3 Ways to Write Ratios
RATIO & PROPORTION Sec 1. Defining Ratio & Proportion A RATIO is a comparison between two quantities. We use ratios every day; one Pepsi costs 50 cents describes a ratio. On a map, the legend might tell
More informationPRACTICE QUESTION SET ON QUANTITATIVE APTITUDE FOR SSC RECRUITMENT EXAMINATION- 2012
WWW.JAGRANJOSH.COM PRACTICE QUESTION SET ON QUANTITATIVE APTITUDE FOR SSC RECRUITMENT EXAMINATION- 2012 1. Ratio of the principal and the amount after 1 yr is 10 :12. Then the rate of interest per annum
More informationLeith Academy. Numeracy Booklet Pupil Version. A guide for S1 and S2 pupils, parents and staff
Leith Academy Numeracy Booklet Pupil Version A guide for S1 and S2 pupils, parents and staff Introduction What is the purpose of the booklet? This booklet has been produced to give guidance to pupils and
More informationVisit prepnode.com for more placement papers and interview tips. HP placement paper
Visit prepnode.com for more placement papers and interview tips. HP placement paper Section 1 : Aptitude (60 questions in 60 minutes) 1. The average score of a cricketer in two matches is 27 and in 3 other
More informationMATH 008 LECTURE NOTES Dr JASON SAMUELS. Ch1 Whole Numbers $55. Solution: =81+495= = 36$
MATH 008 LECTURE NOTES Dr JASON SAMUELS Ch1 Whole Numbers $55 Solution: 81+9 55=81+495=576 576-540 = 36$ This alternate way to multiply is called the lattice method, because the boxes make a lattice. The
More informationFull download all chapters instantly please go to Solutions Manual, Test Bank site: testbanklive.com
Beginning and Intermediate Algebra 5th Edition Tobey Test Bank Full Download: http://testbanklive.com/download/beginning-and-intermediate-algebra-5th-edition-tobey-test-bank/ MULTIPLE CHOICE. Choose the
More informationUNIT 10 PRACTICE PROBLEMS
UNIT 10 PRACTICE PROBLEMS 1 3: Represent the following scenarios as ratios in the indicated ways. Then determine if the comparison is part to part or part to whole. 1. In Kate s yoga class, there were
More informationGurudwara Road Model Town, Hisar SSC CGL Tier 2
Gurudwara Road Model Town, Hisar 9729327755 SSC CGL Tier 2 Math Paper code: 701 ------------------------------------------------------------------------------------------------------------------- No. of
More informationMath 6 Notes: Ratios and Proportional Relationships PERCENTS
Math 6 Notes: Ratios and Proportional Relationships PERCENTS Prep for 6.RP.A.3 Percents Percents are special fractions whose denominators are. The number in front of the percent symbol (%) is the numerator.
More informationName Class Date C the shelter, which equation represents the relationship between the number of cats and dogs?
- Solving One-Step Equations For Exercises, choose the correct letter.. What is the solution of x? A. B. C. D.. What operation should you use to solve x? F. addition G. subtraction H. multiplication I.
More informationClass 8th Everyday Mathematics
Year Questions Marks 2012 10 10 2013 10 10 2014 10 10 2015 10 10 2016 10 10 Total 50 50 1. For a journey the cost of a child ticket is 1/3 rd of the cost of an adult ticket. If the cost of the tickets
More informationNot for sale or distribution
TALK.9 Fractions, Decimals, and Percentages In this section you will convert between fractions, decimals, and percentages, and work with recurring decimals. Exercise.9 Warm Up Moza says, The numbers,.0
More informationSection 8 2: Multiplying or Dividing Rational Expressions
Section 8 2: Multiplying or Dividing Rational Expressions Multiplying Fractions The basic rule for multiplying fractions is to multiply the numerators together and multiply the denominators together a
More informationDuring What would make the ratios easier to compare? How does writing the ratios in simplified form help you compare them?
Unit Rates LAUNCH (7 MIN) Before How can a ratio help you to solve this problem? During What would make the ratios easier to compare? How does writing the ratios in simplified form help you compare them?
More informationMath 1205 Ch. 3 Problem Solving (Sec. 3.1)
46 Math 1205 Ch. 3 Problem Solving (Sec. 3.1) Sec. 3.1 Ratios and Proportions Ratio comparison of two quantities with the same units Ex.: 2 cups to 6 cups Rate comparison of two quantities with different
More informationModule 6 Percent % Section 6.1 Understanding Percent. 1 of MAT001 MODULE 6 PERCENT. Denominators of 100
Module 6 Percent % Section 6.1 Understanding Percent CQ-6-01. Write 0.19% 19% 1900% 0.0019% 19 as a percent. P. 1 of 54 P. 4 of 54 Denominators of The word percent means per hundred. A percent is another
More informationWorksheets for GCSE Mathematics. Percentages. Mr Black's Maths Resources for Teachers GCSE 1-9. Number
Worksheets for GCSE Mathematics Percentages Mr Black's Maths Resources for Teachers GCSE 1-9 Number Percentage Worksheets Contents Differentiated Independent Learning Worksheets Writing Percentages Page
More informationPolynomial and Rational Expressions. College Algebra
Polynomial and Rational Expressions College Algebra Polynomials A polynomial is an expression that can be written in the form a " x " + + a & x & + a ' x + a ( Each real number a i is called a coefficient.
More informationGCSE Homework Unit 2 Foundation Tier Exercise Pack New AQA Syllabus
GCSE Homework Unit 2 Foundation Tier Exercise Pack New AQA Syllabus The more negative a number, the smaller it is. The order of operations is Brackets, Indices, Division, Multiplication, Addition and Subtraction.
More informationWOODBROOK SECONDARY SCHOOL MATHEMATICS PERCENTAGES FORM 4 % 1 100
A percentage is a fraction whose denominator is. It is represented using the symbol %, where: % 1 Ex. 5% = 5 1 = 5 Ex. 115% = 115 1 = 115 Ex. 3 1 2 % = 7 2 1 = 7 200 3 1 2 = 7 2 Ex. 0.125% = = 1 1 8 1
More informationTuesday, January 24, 2017 DO NOW
Tuesday, DO NOW 1) Shayla has at least $100 to spend. Which inequality represents this situation? A) m < 100 B) m > 100 C) m 100 D) m 100 2) For babysitting, Nicole charges a flat fee of $3, plus $5 per
More informationMental Maths Competition Topics Included. (1) Q. No. 1 to 50 are based on basic. Calculation questions related to Addition,
Mental Maths Competition 203 Topics Included. () Q. No. to 50 are based on basic. Calculation questions related to Addition, Subtraction, Multiplication and Division, doubling and halving. (2) Student
More informationI Quick Review. > A rate is a comparison of two quantities measured in different units. i
I Quick Review > A rate is a comparison of two quantities measured in different units. i! Leo types 180 words in 3 min. 180 words in 3 min is a rate. This means Leo types 60 words in 1 min. Leo's rate
More informationNATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D A
MATHIG111 NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 1 (NSC11-02) D10055656-4-A TIME: 09H00 10H30 TOTAL: 75 MARKS DURATION: 1½ HOURS DATE: 10 JUNE 2013
More information4.1 Ratios and Rates
4.1 Ratios and Rates Learning Objective(s) 1 Write ratios and rates as fractions in simplest form. 2 Find unit rates. 3 Find unit prices. Introduction Ratios are used to compare amounts or quantities or
More informationPatterns and Algebra Workbook 8, Part 1
Patterns and Algebra Workbook 8, Part 1 Worksheet PA8-1 page 9 1. a) ; 1; 16 b) +6; +6 0; 6; c) +; + 19; ; 9 d) 1; 1; 1. a) ; 8; ; b) ; ; 69; 6 c) 6; 1; 6 d) 8; 8; 8 ; 6; 9. a) +1; +; +; +; +9 b) ; ; ;
More informationChapter 5 Financial Maths
Chapter 5 Financial Maths (Usually Q1/Q2 Paper 1) This revision guide covers Ordinary level notes Miss McDonnell 1 o Ratio and proportions o Currency transactions o Converting between decimal, percent
More informationPRE-CALCULUS SUMMER PACKET IINTRODUCTION 12-3
NAME PRE-CALCULUS SUMMER PACKET IINTRODUCTION 12-3 This packet is due on the first day of school in September. You are responsible to do and show work for any 50 problems that you decide to do. You must
More informationRRB CLERK MAINS MEMORY BASED (QUANTITATIVE APTITUDE)
RRB CLERK MAINS MEMORY BASED (QUANTITATIVE APTITUDE) Q1. Q A container contains mixture of milk and water in which milk is 80%. 75% of mixture is taken out and 10 water is added, now the concentration
More informationInstructor: Imelda Valencia Course: 6th Grade Sy
Student: Date: Instructor: Imelda Valencia Course: 6th Grade Sy 207 208 Assignment: Summer Homework for incoming 6th Graders SY 207 208 *. Fill in the blank to make a true statement. A 3 in the place has
More information1 algebraic. expression. at least one operation. Any letter can be used as a variable. 2 + n. combination of numbers and variables
1 algebraic expression at least one operation 2 + n r w q Any letter can be used as a variable. combination of numbers and variables DEFINE: A group of numbers, symbols, and variables that represent an
More information2. Does each situation represent direct variation or partial variation? a) Lily is paid $5 per hour for raking leaves.
MPM1D Date: Name: Relating Linear Equations, Graphs and Table of Values 1. Alan works part-time at a gas station. He earns $10/h. His pay varies directly with the time, in hours, he works. a) Choose appropriate
More informationThe two meanings of Factor 1. Factor (verb) : To rewrite an algebraic expression as an equivalent product
At the end of Packet #1we worked on multiplying monomials, binomials, and trinomials. What we have to learn now is how to go backwards and do what is called factoring. The two meanings of Factor 1. Factor
More informationPage 1 -- CCM6+ Unit 9 Measurement Conversions, Percents, Percent Applications. Percents and Measurement Conversions
Page 1 -- CCM6+ Unit 9 Measurement Conversions, Percents, Percent Applications UNIT 9 2016-17 Percents and Measurement Conversions CCM6+ Name: Math Teacher: Projected Test Date: Topic Page # Unit 9 Vocabulary
More informationClass 5 Division. Answer the questions. Choose correct answer(s) from the given choices. Fill in the blanks
ID : in-5-division [1] Class 5 Division For more such worksheets visit www.edugain.com Answer the questions (1) In the orchards of the northern part of Germany, delicious pears are packed in large boxes
More informationModule 3: Proportional Reasoning After completion of this unit, you will be able to
Foundations of Algebra Module 3: Proportional Reasoning & Dimensional Analysis Notes Module 3: Proportional Reasoning After completion of this unit, you will be able to Learning Target #1: Proportional
More informationFOREWORD. I seek your valuable suggestions to improvement. - Niraj Kumar. 2 P a g e n i r a j k u m a r s w a m i. c o m
SWAMI S WORK BOOK ON MATHS MCQ 4 Design & Developed by - Niraj Kumar (Primary Teacher) MA (English), B.Ed, CPPDPT (IGNOU) Kendriya Vidyalya Dipatoli,Ranchi 1 P a g e n i r a j k u m a r s w a m i. c o
More informationRP7-31 Using Proportions to Solve Percent Problems I
RP-1 Using Proportions to Solve Percent Problems I These are equivalent statements: 6 9 of the circles are shaded. of the circles are shaded. 6 is of 9. 6 : 9 : part whole 1. Write four equivalent statements
More informationMATHEMATICS AND STATISTICS 1.1
MATHEMATICS AND STATISTICS. Apply numeric reasoning in solving problems Internally assessed credits Factors, multiples and primes The set of whole numbers is infinite (continues without end). 0,, 2,,,
More informationNATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 2 (NSC11-02) D B
MATHIG211 NATIONAL SENIOR CERTIFICATE (NSC) GRADE 11 MID-YEAR EXAMINATION MATHEMATICAL LITERACY PAPER 2 (NSC11-02) D10055656-4-B TIME: 14H00 15H30 TOTAL: 75 MARKS DURATION: 1½ HOURS DATE: 10 JUNE 2013
More informationEach grid has some shaded parts. Fill in the blanks to describe each grid. Example 28 are shaded. 28 is shaded. 3.
10 CHAPTER Percent Worksheet 1 Percent Each 10 10 grid has some shaded parts. Fill in the blanks to describe each grid. 28 are shaded. 28 is shaded. out of 100 parts % of the whole 72 out of 100 parts
More informationMATHS. Year 10 to 11 revision Summer Use this booklet to help you prepare for your first PR in Year 11. Set 3
MATHS Year 10 to 11 revision Summer 2018 Use this booklet to help you prepare for your first PR in Year 11. Set 3 Name Maths group 1 Cumulative frequency Things to remember: Use a running total adding
More information