# Operations with Fractions. reciprocals (recíprocos) ESSENTIAL QUESTION. How can you use operations with fractions to solve real-world problems?

Save this PDF as:

Size: px
Start display at page:

Download "Operations with Fractions. reciprocals (recíprocos) ESSENTIAL QUESTION. How can you use operations with fractions to solve real-world problems?"

## Transcription

1 UNIT Study Guide MODULE MODULE? Review Operations with Fractions Key Vocabulary reciprocals (recíprocos) ESSENTIAL QUESTION How can you use operations with fractions to solve real-world problems? EXAMPLE 1 Add. Subtract. The LCM of and 1 is Use the LCM to make fractions with common denominators. + 1 = Simplify = = 1 The LCM of 10 and 6 is 0. Use the LCM to make fractions 6 with common denominators. 7 - = Simplify EXAMPLE Multiply. A. 1 1 = 0 = Multiply numerators. Multiply denominators. Simplify by dividing by the GCF. B Rewrite the mixed number as a fraction greater than 1. 1 = 0 Multiply numerators. Multiply denominators. EXAMPLE Divide. A Rewrite the problem as multiplication using the reciprocal of the second fraction. = Multiply numerators. Multiply denominators. B. 1 1 Write both mixed numbers as improper fractions = 71 Multiply by the reciprocal of the second fraction Simplify: = 1 EXERCISES Add. Write the answer in simplest form. (Lesson.1) Subtract. Write the answer in simplest form. (Lesson.1) Unit 17

2 Multiply. Write the answer in simplest form. (Lesson.1) Divide. Write the answer in simplest form. (Lessons.,.) On his twelfth birthday, Ben was feet tall. On his thirteenth birthday, Ben was feet tall. How much did Ben grow between his twelfth and thirteenth birthdays? (Lesson.1) 17. Ron had 0 apples. He used of the apples to make pies. How many apples did Ron use for pies? (Lesson.) 1. The area of a rectangular garden is 1 square meters. The width of the garden is 1 meters. Find the length of the garden. (Lesson.)? MODULE ESSENTIAL QUESTION Operations with Decimals How can you use operations with decimals to solve real-world problems? Key Vocabulary order of operations (orden de las operaciones) EXAMPLE 1 To prepare for a race, Lloyd ran every day for two weeks. He ran a total of 67, meters. Lloyd ran the same distance every day. He took a two-day rest and then started running again. The first day after his rest, he ran the same distance plus 1,607.7 meters more. How far did Lloyd run that day? Step 1 Divide to see how far Lloyd ran every day during the two weeks., 1 67, Lloyd ran, meters a day. Step Add 1,607.7 to, to find out how far Lloyd ran the first day after his rest. 1, ,.00 6,.7 Lloyd ran 6,.7 meters that day. 1 Unit

3 EXAMPLE Rebecca bought. pounds of red apples. The apples cost \$0. per pound. What was the total cost of Rebecca s apples? decimal place + decimal places.0 decimal places The apples cost \$.. EXAMPLE Rashid spent \$7. on gas for his car. Gas was \$. per gallon. How many gallons did Rashid purchase? Step 1 The divisor has two decimal places, so multiply both the dividend and the divisor by 100 so that the divisor is a whole number: Rashid purchased 11 gallons of gas. Step Divide: EXERCISES Add. (Lesson.) Subtract. (Lesson.) Multiply. (Lesson.) Divide. (Lessons.1,.) , , , A pound of rice crackers costs \$.. Matthew purchased 1 pound of crackers. How much did he pay for the crackers? (Lesson.) Unit 1

4 Unit Performance Tasks 1. CAREERS IN MATH Chef Chef Alonso is creating a recipe called Spicy Italian Chicken with the following ingredients: pound chicken, 1 cups tomato sauce, 1 teaspoon oregano, and 1 teaspoon of his special hot sauce. a. Chef Alonso wants each serving of the dish to include 1 pound of chicken. How many 1 pound servings does this recipe make? b. What is the number Chef Alonso should multiply the amount of chicken by so that the recipe will make full servings, each with 1 pound of chicken? c. Use the multiplier you found in part b to find the amount of all the ingredients in the new recipe. d. Chef Alonso only has three measuring spoons: 1 teaspoon, 1 teaspoon, and 1 teaspoon. Can he measure the new amounts of oregano and hot sauce exactly? Explain why or why not.. Amira is painting a rectangular banner 1 yards wide on a wall in the cafeteria. The banner will have a blue background. Amira has enough blue paint to cover 1 1 square yards of wall. a. Find the height of the banner if Amira uses all of the blue paint. Show your work. b. The school colors are blue and yellow, so Amira wants to add yellow rectangles on the left and right sides of the blue rectangle. The yellow rectangles will each be yard wide and the same height as the blue rectangle. What will be the total area of the two yellow rectangles? Explain how you found your answer. c. What are the dimensions of the banner plus yellow rectangles? What is the total area? Show your work. 10 Unit

5 UNIT MIXED REVIEW Assessment Readiness my.hrw.com Personal Math Trainer Online Assessment and Intervention Selected Response 1. Each paper clip is 7 of an inch long and costs \$0.0. Exactly enough paper clips are laid end to end to have a total length of 6 inches. What is the total cost of these paper clips? 6. What is the absolute value of -6? A -6 B 0 C 6 D 6 A \$0. C \$1.7 B \$0.6 D \$1.. Which of these is the same as? A C B D. A rectangular tabletop has a length of feet and an area of 11 7 square feet. What is the width of the tabletop? A feet B 1 feet C 1 feet D 1 feet. Dorothy types 10 words per minute. How many words does Dorothy type in 1.7 minutes? A 10 words B 10 words C 00 words D 10 words. What is the opposite of 17? A -17 B C 17 D Noelle has 6 of a yard of purple ribbon and 10 of a yard of pink ribbon. How much ribbon does she have altogether? A yards C 1 yards B 1 1 yards D 1 16 yards. Apples are on sale for \$1.0 a pound. Logan bought of a pound. How much money did he spend on apples? A \$0.7 C \$0.0 B \$0.0 D \$1.00. Samantha bought. pounds of pears. Each pound cost \$1.6. How much did Samantha spend in all? A \$7. C \$.0 B \$7.6 D \$ Gillian earns \$7.0 an hour babysitting on the weekends. Last week she babysat for. hours on Saturday and. hours on Sunday. How much did Gillian earn? A \$. C \$.7 B \$0. D \$ Luis made some trail mix. He mixed cups of popcorn, 1 1 cups of peanuts, 1 1 cups of raisins, and cup of sunflower seeds. He gave of his friends an equal amount of trail mix each. How much did each friend get? A 1 cups B 1 cups C 1 cups D cups Unit 11

6 1. Emily cycled 0. miles over days last week. She cycled the same amount each day. How many miles did Emily cycle each day to the nearest hundredth? A.01 miles B.06 miles C.60 miles D.6 miles 1. Landon drove 10. miles on Tuesday, 0.7 miles on Wednesday, and 16.0 miles on Thursday. How far did Landon drive all three days combined? A 61. miles B miles Mini Task C 610. miles D 6,10. miles 1. Carl earns \$. per hour walking his neighbor s dogs. He walks them 1 of an hour in the morning and 1 of an hour in the afternoon. a. How much time does Carl spend dog walking every day? b. How much time does Carl spend dog walking in a week? c. Ten minutes is equal to 1 of an hour. 6 How many minutes does Carl work dog walking each week? a. On Saturday, 1 of the people who visited were senior citizens, 1 were infants, 1 were children, and 1 were adults. How many of each group visited the zoo on Saturday? Senior Citizens: Infants: Children: Adults: b. On Sunday, 1 of the people who visited 16 were senior citizens, 16 were infants, were children, and were adults. How many of each group visited the zoo on Sunday? Senior Citizens: Infants: Children: Adults: c. The chart shows how much each type of ticket costs. Type of Ticket Cost Infants Free Children Over \$.0 Adults \$7. Senior Citizens \$.7 d. How much money did the zoo make on Saturday? Show your work. d. How much money does Carl earn each week? 1. The city zoo had an equal number of visitors on Saturday and Sunday. In all,,06 people visited the zoo that weekend. How many visited each day? e. How much did the zoo make on Sunday? 1 Unit

### Monday Tuesday Wednesday Thursday

Name: Weekly Math Homework - Q1:1 Teacher: Monday Tuesday Wednesday Thursday Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of Operations to simplify. Use Order of

### Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.

Name Score Math Course 1 1A 1. Use the numbers 6, 12, and 18 to make two addition facts and two subtraction facts. 12 + 12 12 + 12 12 12 12 12 2. Use the numbers 5, 15, and 75 to make two multiplication

### Decimals Worksheets. The decimal point separates the whole numbers from the fractional part of a number.

Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 8.09 In a whole number the decimal point is all the way to the right, even if it is not shown in

### Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in He swam 3,000 yards in 30 minutes.

Rate Conversions Lesson 1.5 Jeremy Gregory held the 3,000 yard swim record for 13 year-old males in 2006. He swam 3,000 yards in 30 minutes. 30 3000 yards Jeremy found his rate of speed in yards per minute.

### Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1

Adding Whole Numbers and Money Subtracting Whole Numbers and Money Fact Families, Part 1 Reteaching 1 Math Course 1, Lesson 1 To add money, line up the decimal points. Then add each column starting on

### Perimeter. Perimeter is the distance around a shape. You can use grid. Step 1 On grid paper, draw a rectangle that has a length

Lesson 13.1 Perimeter Perimeter is the distance around a shape. You can use grid paper to count the number of units around the outside of a rectangle to find its perimeter. How many feet of ribbon are

### Name Period Date. reciprocal. Commutative Property. improper fraction. simplest form

Name Period Date 6th grade Preap Math Test Review on Chapter Lessons,, 3, 4, 5, 6, 7 and 8. This is just a sample of what is on the test. Any skills which we have done this year, may be on test. Review

### How many pounds of berries does Ben use to make jam? bottles of water for his wrestling practice. When he finished he had 1 2_ 4

. Ben uses 3 2 pound of strawberries and blueberries to make jam. pound of Page How many pounds of berries does Ben use to make jam? pound 2. To get the correct color, Johan mixed 3 _ quarts of white paint,

### Cumulative Test. Name. Score. Show all work on this paper. Please use the Student Reference Guide.

Name Score Math Course 1 1B 1. Use the numbers 5, 11, and 16 to make two addition facts and two subtraction facts. 11 + 12 12 + 12 12 12 12 12 2. Use the numbers 4, 16, and 64 to make two multiplication

### A percent is a ratio that compares a number to 100. It represents part of a whole. Model 54% on the 10-by-10 grid. Then write the percent as a ratio.

Lesson 5.1 Reteach Model Percents A percent is a ratio that compares a number to. It represents part a whole. Model 54% on the 10-by-10 grid. Then write the percent as a ratio. Step 1 The grid represents

### Accuplacer Arithmetic Study Guide

Accuplacer Arithmetic Study Guide Section One: Terms Numerator: The number on top of a fraction which tells how many parts you have. Denominator: The number on the bottom of a fraction which tells how

### A 28-inch ribbon was cut into four equal lengths. How long was each piece of ribbon?

Name Score Benchmark Test 1 Math Course 1 For use after Lesson 0 1. (5) A -inch ribbon was cut into four equal lengths. How long was each piece of ribbon? A. 7 inches B. 7 1 inches. () In a class of students

### Newport Mill Middle School. Summer Math Packet Incoming Grade 6

Newport Mill Middle School Summer Math Packet Incoming Grade 6 . Several expressions are shown. Decide if the value of the expression is less than, equal to, or greater than 5. Write the expressions in

### Converting Between Measurement Systems. ESSENTIAL QUESTION How can you use ratios and proportions to convert measurements? 7.4.E

LESSON 3.1 Converting Between Measurement Systems Proportionality 7.4.E Convert between measurement systems, including the use of proportions and the use of unit rates. Also 7.4.D? ESSENTIAL QUESTION How

### Grade 7 Math Every Day of Summer Counts! Name:

Saturday, July 1 2 3 4 + 2 3 = 3 4 5 9 10 = Sunday, July 2 3 1 4 + 1 3 = 3 4 5 5 10 = Monday, July 3 There are 321 visitors at the library. Each library table seats 12 people. How many tables are needed

### Sum Fun Tournament Meeting (Multiple Topics)

Sum Fun Sum Fun Tournament Meeting (Multiple Topics) Sum Fun Topic There are a wide range of topics and difficulty levels covered during this meeting. Materials Needed The first four items listed below

### Ch. 8 Review Analyzing Data and Graphs

How to find the Median Value It's the middle number in a sorted list. To find the Median, place the numbers you are given in value order and find the middle number. Look at these numbers: 3, 13, 7, 5,

### 1. A mathematical way of expressing a part of a whole thing is called a(n).

CHAPTER 2: FRACTIONS 1. A mathematical way of expressing a part of a whole thing is called a(n). fraction 2. The number on the bottom of the division line of a fraction is called the. denominator 3. A

### Measuring Length. Goals. You will be able to

Measuring Length Goals You will be able to choose, use, and rename metric length measurements measure perimeters of polygons solve problems using diagrams and graphs Running in a Triathlon Racing Snails

### UNIT 7 PRACTICE PROBLEMS

UNIT 7 PRACTICE PROBLEMS 1 Shade the indicated quantity and rewrite in the indicated forms a) 38 hundredths b) 15 100 Decimal: Expanded Form: Fraction Form: Decimal: Expanded Form: Word Name: c) 2 tenths

### ACTIVITY: Finding a Formula Experimentally

8.1 Volumes of Cylinders How can you find the volume of a cylinder? 1 ACTIVITY: Finding a Formula Experimentally Work with a partner. a. Find the area of the face of a coin. b. Find the volume of a stack

### Math 6 EQT Study Guide Quarter 3. and a package of 12 golf balls. The package with 3 golf balls costs \$4.59, and the package with 12 golf balls

Math EQT Study Guide Quarter 3 1. How will the surface area of the figure represented by the net change if the length increases by 7 feet? The original figure has dimensions of l = 12 feet, w = feet, and

### Data and Probability

5 CHAPTER Data and Probability Lesson 5.1 Average Find the mean or average of each set of data. The table shows the number of books Sophia borrowed from the library in four months. Number of Books Borrowed

### 2. Write a decimal that is equivalent. 4. Which of the following is NOT equal to ½? a. 0.5

Name Standard: 30.NF.5 express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100 (e.g.,

### Lesson 12.1 Skills Practice

Lesson 12.1 Skills Practice Name Date Customary to Whom? Customary Measurement Vocabulary Match each definition to its corresponding term. 1. to change a measurement to an equivalent measurement in different

### Unit 1 Summary. License Math: Basic Math in Real Estate. Converting fractions to decimals

Converting fractions to decimals Some real estate math problems will contain fractions. While it is possible to solve the problem using fractions, it s typically easier to convert the fraction to a decimal

### Mathematics Spiral Review Quarter 1.1 Grade 5

Mathematics Spiral Review Quarter 1.1 Basic Computation (4.NBT.4) 378 + 1,761 = Write 538 using number names and expanded form. Estimation (4.NBT.3) Round to the nearest hundred: 329 6,582 Skill of the

### Trade of Metal Fabrication. Module 1: Basic Fabrication Unit 3: Tools and Equipment Phase 2

Trade of Metal Fabrication Module 1: Basic Fabrication Unit 3: Tools and Equipment Phase 2 Table of Contents List of Figures... 3 List of Tables... 4 Document Release History... 5 Module 1 Basic Fabrication...

### Tennessee - Test P. Predictive Assessment See what they know. Teach what they need. *TNRC-MA04PG-001* Practice Example: M A T H

M A T H Tennessee - Test P Predictive Assessment See what they know. Teach what they need. Practice Example: Gr Frank has pairs of shoes. How many shoes does he have in all? Items -7 A B C D TN-TNRC-MA-P-G--_

### Lesson 1.1 Imperial Measures of Length Exercises (pages 11 12) a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd.

Lesson 1.1 Imperial Measures of Length Exercises (pages 11 1) A 3. Answers may vary. For example: a) Foot; because my desk is higher than 1 ft., but not as high as 1 yd. b) Inch; because a mattress is

### AG85. and five cents. Which names this money amount in terms of dollars? Mark all that apply. is equivalent to. True False

Page 1 1. Select a number shown by the model. Mark all that apply. 6.1 16 1.6 60 16 1 6 2. Ryan sold a jigsaw puzzle at a yard sale for three dollars and five cents. Which names this money amount in terms

Third Grade Pre/Post Test Instructions: Questions 1-53 Choose the best answer for each question. What fractional part of the rectangle is shaded? How much is of 20 pennies? \$.01 \$.05 \$.10 \$.15 What is

### 2:04:55. (You can check the internet to see if this time has been beat!)

Lesson: World Record Marathon Time Game Grades: 4-6 Skills: Number sense, time Time: 30 minutes As of 10/2006, the world record for the marathon is: 2:04:55 (You can check the internet to see if this time

### TOPIC III: Proportional Reasoning. Good Luck to:

Good Luck to: Period: Date DIRECTIONS: Show all work in the space provided. 1. Joniqua wants to get an A in her Algebra 1 class. So far she has four test scores; 77%, 83%, 97%, and 95%. Which choice best

### , Name: Class: Date: ID: A. Fall 2014 Pre-AP Semester Review

Class: Date: Fall 2014 Pre-AP Semester Review Multiple Choice Identify the choice that best completes the statement or answers the question. 1. The numbers in each set shown below have a common characteristic.

### Four in a Row Algebraic Expression. Suggested expressions: x + y x - y -x + 2y x - y -(x + y) 2x - 3y y + 1 2

Four in a Row 7 x 6 5 4 3 2 1-8 -7-6 -5-4 -3-2 -1 0 1 2 3 4 5 6 7 8 y -1-2 -3-4 -5-6 -7 Algebraic Expression Suggested expressions: x + y x - y -x + 2y x - y -(x + y) 2x - 3y y + 1 2 Page 84 Classroom

### DECIMALS. Chapter INTRODUCTION

hut6929_ch04_a.qxd 2/8/04 2:47 PM Page 279 Chapter DECIMALS 4 INTRODUCTION When you look into the cockpit of a plane, you have to be impressed with the number of gauges that face the pilot. It is remarkable

### Lesson 22: Getting the Job Done Speed, Work, and Measurement Units

Lesson 22: Getting the Job Done Speed, Work, and Measurement Units Student Outcomes Students decontextualize a given speed situation, representing symbolically the quantities involved with the formula.

### Equivalent forms: fractions, decimals, and percents Block 1 Student Activity Sheet

Block 1 Student Activity Sheet 1. List two real-life examples of fractions. 2. List two real-life examples of decimals. 3. List two real-life examples of percents. 4. Consider the table below showing Courtney

### Perimeter. Perimeter is the distance around a figure. Add to find the perimeter (P) of each figure. P

Place Value: Large Numbers... 5 Comparing Numbers...6 Rounding Numbers...7 Two-Digit Addition with Regrouping...8 Three-Digit Addition with Regrouping...9 Addition of Large Numbers... 10 Problem olving:

### BLoCK 4 ~ FrACtIons And decimals

BLoCK 4 ~ FrACtIons And decimals decimals Lesson 21 place value with decimals ------------------------------------------- 109 Explore! Base-Ten Blocks Lesson 22 rounding decimals ---------------------------------------------------

### UNIT 2 PRACTICE PROBLEMS

UNIT 2 PRACTICE PROBLEMS 1. Determine the signed number that best describes the statements below. Statement The boiling point of water is 212 o F Signed Number Carlos snorkeled 40 feet below the surface

### Example 1 Add mixed measures.

Name Mixed Measures Essential Question How can you solve problems involving mixed measures? Lesson 12.10 Measurement and Data 4.MD.A.2 Also 4.MD.A.1 MATHEMATICAL PRACTICES MP1, MP2, MP8 Unlock the Problem

### Constructing Task: Fraction Field Event

Constructing Task: Fraction Field Event STANDARDS FOR MATHEMATICAL CONTENT MCC4.NF.3 Understand a fraction a/b with a > 1 as a sum of fractions 1/b. a. Understand addition and subtraction of fractions

### Lesson 4.3 Real-World Problems: Ratios

Lesson 4.3 Real-World Problems: Ratios Solve. Example The ratio of Harry s money to Lincoln s money is 6 : 5. a) If Harry and Lincoln have a total of \$715, how much money does Harry have?? Harry Lincoln

### Perimeter. Name. 22 Topic 17. Reteaching Find the perimeter of the figure below.

Perimeter Reteaching 1-1 Find the perimeter of the figure below. 15 m x 4 ft 4 ft 2 ft y 2 ft 5 ft 6 m 20 ft Reteaching 1-1 By using a formula: There are two equal lengths and equal widths, so you can

### 1. Identify the sample space and the outcome shown for spinning the game spinner.

2014-2015 6 th Grade Compacted Spring Semester Review Name: 1. Identify the sample space and the outcome shown for spinning the game spinner. Z W Y X a. Sample space: {W, X, Y, Z} Outcome shown: Z b. Sample

March Madness Basketball Tournament Math Project COMMON Core Aligned Decimals, Fractions, Percents, Probability, Rates, Algebra, Word Problems, and more! To Use: -Print out all the worksheets. -Introduce

### 2018 School Competition Sprint Round Problems 1 30

Name 08 School Competition Sprint Round Problems 0 0 4 5 6 7 8 DO NOT BEGIN UNTIL YOU ARE INSTRUCTED TO DO SO. 9 This section of the competition consists of 0 problems. You will have 40 minutes to complete

### Name: Section: Tuesday February 14 th 12.8 (2 pages) Wednesday February 15 th Conversion Worksheets (2 pages) Thursday February 16 th 12.

Homework Hello Students and Parents. We will continue Chapter 12 this week, Measurements. Students will use models to compare metric units of length, weight and volume. Students will use models to compare

### Reviewing Place Value with Decimals

Reviewing Place Value with Decimals Home Link 3-1 1 Record two decimals that are equivalent to each decimal below. 111 a. 0.2 b. 0.13 c. 2.145 d. 7.06 2 Compare using , or =. a. 0.05 0.050 b. 0.05

### Gabe represents his mystery number with the variable f.

Mystery Numbers Home Link 7- Gabe and Aurelia play Number Squeeze. Gabe represents his mystery number with the variable f. - a. Represent each of the two Number Squeeze clues with an inequality. Describe

### WVDE Math 7 NS Apply and Extend Previous Understandings of Operations with Fractions to Add, Subtract, Multiply, and Divide Rational Numbers Test

WVE Math 7 NS pply and Extend Previous Understandings of Operations with Fractions to dd, Subtract, Multiply, and ivide Rational Numbers Test 1 General Offline Instructions: Read each question carefully

REVISE 7//205 Released Form North arolina REY End-of-Grade ssessment Mathematics Grade Student ooklet cademic Services and Instructional Support ivision of ccountability Services opyright 203 by the North

### ROUND TOSS-UP: What is the square root of one million? (1000) (10 points) BONUS: How many zeros are at the end of ?

ROUND 1 1. TOSS-UP: What is 24% of 50? (12) (10 points) BONUS: A clothing store is having a 60% off sale on its dresses. Brandi has a coupon that lets her take 20% off of the sale price. If she pays \$24

Readiness: Scuba Diving AUTHOR INTENT Scuba diving is a real-world activity where each diver has to be responsible for their own safety. The safety of the divers relies on mathematics. The math reviewed

### Chapter 9 Review/Test

Name Chapter 9 Review/Test Personal Math Trainer Online Assessment and Intervention 1. Select a number shown by the model. Mark all that apply. 14 40 1.4 1 4 14 4.1 2. Rick has one dollar and twenty-seven

### Set 1. 1) A 140-pound student burns 5.4 calories per minute while playing tennis. After 60 minutes, how many calories has the student burned?

Set 1 1) A 140-pound student burns 5.4 calories per minute while playing tennis. After 60 minutes, how many calories has the student burned? 2) Sam drives at a constant rate of 60 miles per hour. How many

### PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE

PART 3 MODULE 6 GEOMETRY: UNITS OF GEOMETRIC MEASURE LINEAR MEASURE In geometry, linear measure is the measure of distance. For instance, lengths, heights, and widths of geometric figures are distances,

### Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 2

Math 146 Statistics for the Health Sciences Additional Exercises on Chapter 2 Student Name: Solve the problem. 1) Scott Tarnowski owns a pet grooming shop. His prices for grooming dogs are based on the

### 4. For parts (a) (d), copy the number line below. Locate and label a point representing each fraction described.

A C E Applications Connections Extensions Applications Investigation. Describe, in writing or with pictures, how compares to.. Multiple Choice On a number line from 0 to 0, where is located? A. between

### Algebra A/B MAT 035. Review for Final Exam

Computation: Evaluate the following expressions: 1. 5-7 + (-8) - (-3) 2 2. -5 (-3) (2) (-5) 3. 4. 5. 11 2 23 + 24 6. 7. (14-3) (3-7) +2 (3-9) 8. 7-2[ ] 9. 20-12 2 3-10. -8[ -4 6 (4-7)] 11. 12 4[7 3(6 2)]

### Gears Ratios and Speed / Problem Solving

Teacher Mechanics Note to the teacher On this page, students will learn about the relationship between gear ratio, gear rotational speed, wheel radius, diameter, circumference, revolutions and distance.

### POST TEST KEY. Math in a Cultural Context*

Fall 2007 POST TEST KEY Building a Fish Rack: Investigation into Proof, Properties, Perimeter and Area Math in a Cultural Context* UNIVERSITY OF ALASKA FAIRBANKS Student Name: POST TEST KEY Grade: Teacher:

### Name Date Class. Use the number 123,456, to indicate the digit filling the place. 1. Tens 2. Tenths 3. Thousand

Chapter 2 Practice 2-1 Place Value Use the number 123,456,789.1234 to indicate the digit filling the place. 1. Tens 2. Tenths 3. Thousand 4. Ten-thousandth 5. Ten-million 6. Hundredth Use the number 321.9876543

### Special Right Triangle Task Cards

Special Right Triangle Task Cards 45-45-90 and 30-60-90 Special Right Triangle Task Cards 45-45-90 and 30-60-90 Teachers: I have included 2 sets of task cards. The first set (slides 3-9) asks for the answer

### NAME DATE PERIOD SCORE

NAME DATE PERIOD SCORE Chapter 1 Test 1. Miriam buys 24 petunia plants and 40 azalea plants. She wants to plant an equal number of flowers in each row of her garden. Each row will contain only one type

### 2018 Chapter Competition Countdown Round Problems 1 80

2018 Chapter Competition Countdown Round Problems 1 80 This booklet contains problems to be used in the Countdown Round. 2018 MATHCOUNTS National Competition Sponsor National Sponsors Raytheon Company

### Part 1: Decimals. The decimal point separates the whole numbers from the fractional part of a

Part 1: Decimals Decimal Place Values The decimal point separates the whole numbers from the fractional part of a number. 1328. 1095 In a whole number the decimal point is all the way to the right, even

### 4.8 Applications of Polynomials

4.8 Applications of Polynomials The last thing we want to do with polynomials is, of course, apply them to real situations. There are a variety of different applications of polynomials that we can look

### Multiplying_and_Dividing_Fractions_Test_Review.notebook. January 04, 2016

1 2 During a 4 hour STAAR test, 8 minutes was allotted for bathroom breaks. Each restroom break lasted 2 minutes. How many restroom 4 breaks can be scheduled during the test? 3 Cooper has 14 water noodles.

### Mathematics (Project Maths Phase 3)

*B6* Pre-Leaving Certificate Examination, 2014 Triailscrúdú na hardteistiméireachta, 2014 Mathematics (Project Maths Phase 3) Paper 1 Ordinary Level 2½ hours 300 marks Name: School: Address: Class: Teacher:

### Applications of Mathematics

Write your name here Surname Other names Pearson Edexcel GCSE Centre Number Candidate Number Applications of Mathematics Unit 1: Applications 1 For Approved Pilot Centres ONLY Foundation Tier Wednesday

### Algebra 1 Notes Solving Systems Word Problems

Algebra 1 Notes Solving Systems Word Problems 1 At McDonalds, a cheeseburger has 200 fewer calories than a large fries. Two cheeseburgers and a large fries have 1100calories. How many calories are in each

### Converting Customary Units

Convert. Practice A Converting Customary Units 1. 1 yard = feet 2. 1 mile = yards 3. 1 pound = ounces 4. 1 ton = pounds 5. 1 pint = cups 6. 1 quart = pints 7. 1 quart = cups 8. 1 gallon = quarts 9. 24

### Lesson 3: Using the Pythagorean Theorem. The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1

Lesson 3: Using the Pythagorean Theorem The Pythagorean Theorem only applies to triangles. The Pythagorean Theorem + = Example 1 A sailboat leaves dock and travels 6 mi due east. Then it turns 90 degrees

### H on using estimation

H on using estimation To the Student In FOCUS on Using Estimation, Book H, you will read problems and answer questions. You will practice using a math strategy called Using Estimation. You will learn about

### Lesson 23: The Volume of a Right Prism

Lesson 23 Lesson 23: Student Outcomes Students use the known formula for the volume of a right rectangular prism (length width height). Students understand the volume of a right prism to be the area of

### Name. Solving Addition and Subtraction Word Problems Within 100. Solve each problem. Mark out each answer in the number bank. Warm Up: Let s Move!

Solving Addition and Subtraction Word Problems Within 100 Solve each problem. Mark out each answer in the number bank. 1. Alexander scored 3 goals in his soccer game and 7 runs in his baseball game. How

### Properties of Numbers

Properties of Numbers 1. Round three thousand six hundred and seventy-two to the nearest hundred. 2. What is three point five to the nearest whole number? 3. Find a square number between forty and fifty.

### 13.7 Quadratic Equations and Problem Solving

13.7 Quadratic Equations and Problem Solving Learning Objectives: A. Solve problems that can be modeled by quadratic equations. Key Vocabulary: Pythagorean Theorem, right triangle, hypotenuse, leg, sum,

### Lesson 6: Measuring Distances Less Than 1

Lesson 6: Measuring Distances Less Than 1 Objective By the end of the lesson, students will apply the definitions of subunit, denominator, and numerator to measure distances from 0 on the number line and

### %10 %10 %10 %20 %20 %30 %20 %30 %40 %40

Copyright 202 All rights reserved. The purchaser may make copies for individual, classroom, or home use. Reproduction for school wide or district wide use is prohibited. To obtain permission to use material

### Translations: Comparison Sentences

Translations: Comparison Sentences A comparison sentence is a special form of translation, a single sentence within a word problem that provides information about two different things: two unknowns. In

### Pacific Charter Institute Pacing Guide Grade(s): _5 Subject Area: _Math in Focus grade 5 CP: yes _X no

Week 1 Pre-requisite skills review Chapter 1 pre-test Assessment 5 chapter pre-test pp. 1-4 or MIF Student book 5A pp. 1-4 Reteach 4A (1.1, 1.2, 2.1, 3.2, 3.4) NWEA Kids start Wed. Week 2 1.1 Writing numbers

### EQ: GMD.1 What is Cavalieri's Principle?

EQ: GMD.1 What is Cavalieri's Principle? Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Essential Question Week 14, Lesson 1 1. Warm Up

### Summer Math Activities

Summer Math Activities Kindergarten: July 7 th, July 14 th, July 21 st, July 28 th, August 4 th, August 11 th, August 18 th, and August 25 th Every Friday! Board Game, Card Game or App Day Choose a game

dult Question Paper PPER Numeracy LEVEL Level 1 TEST OE NUM/1/O WHT YOU NEE This Question Paper n nswer Sheet n H Pencil n Eraser ruler marked in mm and cm You may use a bilingual dictionary alculators

### Name Date Symbolize Problems - Real World

Name Date Symbolize Problems - Real World Many situations in the real-world can be modeled with a linear equation. When writing an equation based on a real-world situation, consider the following. 1. Initial

### Daily Math Log #1. 1) Two thousand, seven hundred thirty-four dolls

Daily Math Log #1 1) Two thousand, seven hundred thirty-four dolls were sold in the first half of the year. Four thousand, one hundred seventy dolls were sold in the second half of the year. What was the

### Multiplication Word Problems (A) Solve each problem and show your work.

Multiplication Word Problems (A) Regan's website had 7 links on each of 9 pages. How many links did she have on her website? Robert donated \$5 to charity every month. How much did he donate in 7 months?

### The Bruins I.C.E. School

The Bruins I.C.E. School Lesson 1: Addition & Subtraction Word Problems Lesson 2: Extend the Counting Sequence Lesson 3: Extend the Counting Sequence Lesson 4: Understand Place Value Lesson 5: Represent

### Unit 4 Homework Key. Lesson 4.1. Define variables and create equations for each of the following linear situations.

Lesson 4.1 Unit 4 Homework Key Define variables and create equations for each of the following linear situations. 1. It will cost \$45 to replace the chain on your bicycle plus \$15 per hour of labor. =

### mentoringminds.com MATH LEVEL 4 Student Edition Sample Page Unit 8 Introduction County Fair Visitors New York City Expenses

Student Edition Sample Page Name 1. Spencer plays video games. He scored 5443 points on Tuesday and 7301 points on Wednesday. He rounds his scores to the nearest thousand. What expression can Spencer use

### Lesson 1: Setting the Stage Projection Master

Lesson 1: Setting the Stage Projection Master Copyright 2013. The Johns Hopkins University. All Rights Reserved. Lesson 1 3 Lesson 2: Setting the Stage Projection Master The head chef, at a seasonal resort,

### TIME MEASUREMENT. A 90 minutes B 180 minutes C 2 hours 30 minutes D 3 hours. + 2 hours +45 min. +15 min.

TIME MEASUREMENT Eample: The McMillians are going to visit their grandparents. They leave their home at a quarter after eleven in the morning. They arrive at their grandparents fifteen minutes after two

### WAT305 Math Part 1 ABC Math

WAT305 Math Part 1 ABC Math Good to know for certification: You have used 35 150lb cylinders of Chlorine in 2011 how many pounds total did you use? How many pounds per month did you use? If demand is expected

### Multiplying Fractions or Mixed Numbers

s e s s i o n 4 A. 3 Multiplying Fractions or Mixed Numbers Math Focus Points Multiplying a fraction or mixed number and a whole number Using a representation and reasoning to multiply a whole number by