Direct Variation notes. Direct. Variation. 8th Grade Math
|
|
|
- Hortense Cannon
- 6 years ago
- Views:
Transcription
1 Direct Variation 8th Grade Math 1
2 TEKS for the Day 2
3 Essential Question(s) How can solution meaning be derived from an equation or inequality in a problem situation? 3
4 Direct Variation Vocabulary Review an equation of the form that describes proportional situations. Independent Variable The variable in a relationship that remains constant. Dependent Variable The variable that changes based on the value of the independent variable. Constant of Proportionality, k the constant ratio of the dependent variable to the independent variable in a proportional linear relationship; 4
5 WARM-UP The Papyrus Print Shop can print 1750 posters in 5 hours. How many posters can they print per hour? a. Create a word ratio for this situation. b. Determine the rate for this relationship. posters per hours c. Predict the number of posters the Papyrus Print Shop can print in 8 hours. Multiply the rate (posters in one hour) by the number of hours. posters 5
6 Student Notes Problem 1: The Parchment Print Shop can print 3150 posters in 7 hours. How many posters can they print per hour? A. Underline and label the independent and dependent variables. Time determines the number of posters printed. Time is the independent variable and posters is the dependent variable. B. What is the constant of proportionality, or k, for this situation? Words: Numbers (k): posters per hour k = 450 C. Write an equation using k that represents this situation. y=450x, so D. If The Parchment Print Shop is printing at the same rate, how many posters can they print in 12 hours? y=450x y=450(12) y = 5400 posters 6
7 Problem 2: Myka is training for a marathon. Her distance varies directly as the time as listed in the table below. How far does Myka run in 1 hour? A. Underline and label the independent and dependent variables. Time determines the number of miles that Myka runs. Time is the independent variable and miles is the dependent variable. B. What is the constant of proportionality, k, for this situation? Words: Numbers (k): miles per hour k = 5.2 C. Write an equation using k that represents this situation. y = 5.2x, so D. If Myka runs at the same rate throughout her training, how long will it take her to run 26 miles? y = 5.2x 26 = 5.2x y = 5 hours 7
8 Steps for solving direct variation: 1. Solve for k. 2. Write the equation using. 3. Solve for the missing value. * If the missing value is x, divide y by k. * If the missing value is y, multiply the numbers. 8
9 I DO: 3. Use the table to answer the questions below. A. Find the constant of proportionality, k. k = 3 5 or 0.6 B. If x is 47, what is y? y = or
10 you DO: 4. If y is directly proportional to x, and y is 8 when x is 10. A. Find k. k = 0.8 or 4 5 B. Write the direct variation equation that represents this situation. y = 0.8x or y = 4 5 x C. Find the value of x when y is. x = 7 10
11 Complete 5 & 8 with a partner: 5. The number of centimeters in a measure varies directly as the number of inches. A. What is k for this situation? k = 2.54 B. Write the direct variation equation that represents this situation. y = 2.54x C. Find the measure of an object in centimeters that is 50 inches long. y = 2.54(50) y = 127 cm 11
12 I DO: 6. Daniel ran 9.75 miles in 1.5 hours Monday and 19.5 miles in 3 hours Thursday. A student did the following to find the distance Daniel could run in 4 hours. Is he correct? If not, explain and correct the error. y=kx y=9.75(4) y=39 miles He found k incorrectly. k=6.5 Should be: y=kx y=6.5(4) y=26 miles 12
13 I DO: 7. The number of miles a car can travel is directly proportional with the number of gallons of gas in its tank. Oliver can travel 399 miles with 19 gallons of gas in his car. A. What is k for this situation? k=21 B. Write the direct variation equation that represents this situation. y=21x C. If he drove 189 miles, how many gallons did he have in his car? 189 = 21x x = 9 gal 13
14 8. The number of kilograms of water in a person s body varies directly as the person s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person whose mass is 50 kg? = kg of water mass = 60 kg 90 kg k = 2 3 y = 2 3 x y = 2 3 (50) y = kg 14
15 exit Ticket: 1. The number of words Sam can type varies directly with the time he spends typing. Sam can type 280 words in 8 minutes. A. Find the constant of proportionality. k=35 B. If Sam types for an hour and a half, how many words would you expect him to type? x = 3150 words 2. The number of rungs on a tree s trunk, r, is directly proportional to the tree s age, a. If a 27 year old tree has 18 rings on its trunk, how many rings would you expect a 63 year old tree to have? r = 42 rings 15
Algebra: Chapter 3 Notes
Algebra Homework: Chapter 3 (Homework is listed by date assigned; homework is due the following class period) HW# Date In-Class Homework 16 F 2/21 Sections 3.1 and 3.2: Solving and Graphing One-Step Inequalities
Student Outcomes. Classwork. Example 1 (6 minutes)
Student Outcomes Students know the definition of constant rate in varied contexts as expressed using two variables where one is representing a time interval. Students graph points on a coordinate plane
Interpret Linear Graphs
Interpret Linear Graphs Objectives: -Interpret the meaning of the and intercepts, slope, and points on and off the line of a graph, in the contet of a real world situation. Common Core Standards: N.Q.1
Chapter Review. Express each ratio as a fraction in simplest form girls out of 24 students SOLUTION: ANSWER:
Express each ratio as a fraction in simplest form. 1. 10 girls out of 24 students 2. 6 red cars to 4 blue cars 3. 10 yards to 8 inches Convert 10 yards to inches. Three are 36 inches in 1 yard. esolutions
B Balancing Equations
B Balancing Equations We have learned that in an equation, the epressions on both sides of the equal sign must be equivalent. For eample, + = 1 2 because 7 = 7 6 = 7 because 21 = 21 + + = + 8 + 2 because
CCR Math - Grade 7 Practice Test
R Math - Grade 7 Practice Test You may use a calculator for questions -7.. Use the picture below to answer the question. A B What is the probability of spinning a? A. B.. D. 5 3 5 3 5 A 3 Go on to the
Lesson 8: Representing Proportional Relationships with Equations
Lesson 8: Representing Proportional Relationships with Equations Student Outcomes Students use the constant of proportionality to represent proportional relationships by equations in real world contexts
Semester Exam Review Answers
1. C 2. x 36 3. r 12. x 3 5. 17 x 1.16666 12 6. x 6 7. 8. 9. 2x3 5x6 2(3) 3 9 3x 9 or 5(3) 6 9 x 3 Student should grid 9 12 2L W 2 or W 6L or W L 6 A C H B 10. x 11. x 1 12. x 11 11 1 13. 20 x 30 1. 15.
Name: Hour Date. Chapter 1 Checklist. Section Assignment Date Signature. Chapter 1 Vocabulary. Video 1-1A and notes
Name: Hour Date Chapter 1 Checklist Section Assignment Date Signature Chapter 1 Vocabulary 1-1: Expressions and Formulas Video 1-1A and notes Practice - p. 7: #13, 15, 17, 19, 21, 23 Video 1-1B and notes
Precision and Accuracy. Learning Targets: Unit 2.1 To determine the degree of precision of a measurement.
Precision and Accuracy Learning Targets: Unit.1 To determine the degree of precision of a measurement. We often use numbers that are not exact. Measurements are approximate there is no such thing as a
3. A tennis field has length 78 feet and width of 12 yards. What is the area of the field (in square feet)?
Station 1: MSG9-12.A1.NQ.1: Use units of measure (linear, area, capacity, rates, and time) as a way to understand problems; identify, use and record appr opriate units of measure within context, within
PICK UP 1. Paper(s) 2. Sign in for attendance 3. CALCULATOR! TURN IN Any late HW!
PICK UP 1. Paper(s) 2. Sign in for attendance 3. CALCULATOR! TURN IN Any late HW! DO NOW 1. On a half sheet of paper rearrange this equation to solve for vi a = v f v i t HW: U0 6 (Wed) Next Test: U0 Test
Instructor: TODD CONKLIN Course: 3rd hour Math
Student: Date: Instructor: TODD CONKLIN Course: 3rd hour Math Assignment: Samples and Populations Practice/ End of Year Review 1. You ask 8 classmates how many pencils they have in their bags. The mean
Algebra I Notes Unit Analysis and Significant Figures Unit 00b:
NOTE: This standard should be taught and reinforced throughout the year when applicable. Writing the units of each variable in a real-life problem helps you determine the units for the answer. This is
Modeling with Volume
1.2 Modeling with Essential Question How can you use the mass and volume of an object to describe the density of the object? Finding Densities Work with a partner. Approximate the volume of each object
+ 100 = What is the value of in the expression below? A B C D
1. What is the value of in the expression below? C 2. Max bought a 100-page journal and writes 1 page per day. Pat bought a 200-page journal and writes 3 pages per day. The equation below can be solved
Algebra 1 STAAR Review Name: Date:
Algebra 1 STAAR Review Name: Date: 1. Which graph does not represent y as a function of x? I. II. III. A) I only B) II only C) III only D) I and III E) I and II 2. Which expression is equivalent to? 3.
Notes Friday, September 09, 2016
Notes Friday, September 09, 2016 Day 1 - Polynomials Page 1 Notes Friday, September 09, 2016 Day 1 - Polynomials Page 2 Notes Friday, September 09, 2016 Day 1 - Polynomials Page 3 Notes Friday, September
Proportional Relationships
Sampler Math Foundation Unit Grade 7 Proportional Relationships This book belongs to: Copyright 2012 Pearson Education, Inc., or its affiliate(s). All Rights Reserved. Printed in the United States of America.
2. To receive credit on any problem, you must show work that explains how you obtained your answer or you must explain how you obtained your answer.
Math 50, Fall 2011 Test 3 PRINT your name on the back of the test. Directions 1. Time limit: 1 hour 50 minutes. 2. To receive credit on any problem, you must show work that explains how you obtained your
Name: Block: Unit 2 Inequalities
Name: Block: Unit 2 Inequalities 2.1 Graphing and Writing Inequalities 2.2 Solving by Adding and Subtracting 2.3 Solving by Multiplying and Dividing 2.4 Solving Two Step and Multi Step Inequalities 2.5
Based on the line of best fit, how many pizzas were sold if $ was earned in sales? A. 120 B. 160 C. 80 D. 40
1. The graph below shows a line of best fit for data collected on the number of medium pizzas sold at local pizza shops and the amount of money earned in sales. Based on the line of best fit, how many
Name: Section: 4A 4B 4C 4D 4E
Name: Section: 4A 4B 4C 4D 4E Homework Hello Scholars and Parents. We will continue with Chapter 12 this week focusing on Measurements. Scholars will work with elapsed time and mixed measures. The Chapter
Silver Spring International Middle School Algebra Summer Packet
Name: Silver Spring International Middle School Algebra Summer Packet It is NOT mandatory to complete but, STRONGLY encouraged. MONTGOMERY COUNTY PUBLIC SCHOOLS SILVER SPRING INTERNATIONAL MIDDLE SCHOOL
4) A high school graduating class is made up of 550 students. There are 144 more boys than girls. How many girls are in the class?
Math 110 FYC chapter and 4 Practice The actual text is different Solve. 1) The difference of four times a number and seven times the same number is 9. Find the number. 1) 2) x - 1 = 1 15 2) ) 5 4 x = 15
AP Environmental Science Math Prep
AP Environmental Science Math Prep This year in APES you will hear the two words most dreaded by high school students NO CALCULATORS! That s right, you cannot use a calculator on the AP Environmental Science
Multiple Choice. Test A. Choose the best answer. 1. Which ratio forms a proportion with 3
Name Date Class Multiple Choice Test A Choose the best answer. 1. Which ratio forms a proportion with 3 8? A B 33 80 12 26 C D 9 24 1 38 2. Which pair of fractions forms a proportion? A B 7 9, 1 16 6,
1 to 4; 1:4; 1_ 4. 1 to 3; 1:3; 1_ 3. 3 to 8; 3:8; 3_. 8 to 4; 8:4; 8_ 4
Understanding Ratios Reteaching 12-1 A ratio is a pair of numbers that compares two quantities. Count to find the ratio of squares to circles. Reteaching 12-1 4 to 3 The ratio 4 to 3 can also be written
Equations of Proportional Relationships
Name: Date: Period Equations of Proportional Relationships Points to Remember: Proportional relationships have a constant ratio, or unit rate. The constant ratio, or unit rate of y, can also be called
Winter Break Packet Math I. Standardized Test Practice. is exponential has an absolute minimum
1.Which characteristics best describe the graph? Winter Break Packet Math I Standardized Test Practice is a function has an absolute minimum is a function is linear has an absolute minimum is a function
= Review!! 1 st Quarter Exam Practice
Name: Review!! st Quarter Exam Practice Jarvis rode his bike. miles in 0.5 hours. What was his average speed in mi/h?.05 mi/h 8. mi/h 6.8 mi/h 0.5 mi/h uring a recent football game, aron Rodgers completed
Name Class Date. Tell whether each expression is a numerical expression or a variable expression. For a variable expression, name the variable.
Practice 1-1 Variables and Expressions Write an expression for each quantity. 1. the value in cents of 5 quarters 2. the value in cents of q quarters 3. the number of months in 7 years the number of months
Mini-Lecture 6.1 Rational Functions and Multiplying and Dividing Rational Expressions
Learning Objectives: Mini-Lecture 6. Rational Functions and Multiplying and Dividing Rational Epressions. Find the domain of a rational function.. Simplify rational epressions.. Multiply rational epressions.
Math Summer Packet Grade 7
2018-2019 Math Summer Packet Grade 7 Name: 6 th Grade Math Teacher: 7 th Grade Math Teacher: Part 1: Multiple Choice Directions: Answer every question. (1) Which integer makes this statement true? 8 +?
vocabulary BLOCK 1 1. Height of a two-story home: 20 feet or 20 yards 2. Weight of a fully loaded semi-truck: 2 pounds or 2 tons
review BLOCK 1 vocabulary complex fraction rate ratio conversion rate conversion unit rate Lesson 1.1 ~ Measurement Choose a reasonable estimate. Explain your reasoning for each choice. 1. Height of a
REVIEW SHEETS BASIC MATHEMATICS MATH 020
REVIEW SHEETS BASIC MATHEMATICS MATH 020 A Summary of Concepts Needed to be Successful in Mathematics The following sheets list the key concepts that are taught in the specified math course. The sheets
Skills Practice Skills Practice for Lesson 1.1
Skills Practice Skills Practice for Lesson. Name Date Tanks a Lot Introduction to Linear Functions Vocabulary Define each term in your own words.. function 2. linear function 3. independent variable 4.
13. Convert to a mixed number: Convert to an improper fraction: Are these two fractions equivalent? 7
FINAL REVIEW WORKSHEET BASIC MATH Chapter 1. 1. Give the place value of 7 in 3, 738, 500. 2. Give the word name for 302, 525. 3. Write two million, four hundred thirty thousand as a numeral. 4. Name the
Using a Graphing Calculator
Using a Graphing Calculator Unit 1 Assignments Bridge to Geometry Name Date Period Warm Ups Name Period Date Friday Directions: Today s Date Tuesday Directions: Today s Date Wednesday Directions: Today
Semester Exam Review Answers
1. increasing: 1.5 t 2 t.5 decreasing: 0 t 1.5 3 t constant: 2 t 3.5 t 6 2. x 36 3. r 29 3. x 3.7 5. x 6 6. Acceptable answers: 13/, 3.25 Unacceptable Grid in: 3 1/ P 2 1 W L or W P L or W P L 2 2 2 7.
A C E. Answers Investigation 4. Applications
Answers Applications 1. 1 student 2. You can use the histogram with 5-minute intervals to determine the number of students that spend at least 15 minutes traveling to school. To find the number of students,
Practice Ace Problems
Unit 5: Moving Straight Ahead Investigation 1: Walking Rates Practice Ace Problems Directions: Please complete the necessary problems to earn a maximum of 11 points according to the chart below. Show all
Unit 4: Inequalities. Inequality Symbols. Algebraic Inequality. Compound Inequality. Interval Notation
Section 4.1: Linear Inequalities Section 4.2: Solving Linear Inequalities Section 4.3: Solving Inequalities Applications Section 4.4: Compound Inequalities Section 4.5: Absolute Value Equations and Inequalities
Chapter (7) Continuous Probability Distributions Examples Normal probability distribution
Chapter (7) Continuous robability Distributions Examples Normal probability distribution Example () How to find the area under the normal curve? If 50 Find & 6 60.8 50 X 60.8 6 0.8 p 6 0.5 0.464 0.964.8
GSE Algebra 1. Unit Two Information. Curriculum Map: Reasoning with Linear Equations & Inequalities
GSE Algebra 1 Unit Two Information EOCT Domain & Weight: Equations 30% Curriculum Map: Reasoning with Linear Equations & Inequalities Content Descriptors: Concept 1: Create equations that describe numbers
AP Environmental Science Math Prep
AP Environmental Science Math Prep Courtesy of Kara House, Franklin Central High School, Indiana This year in APES you will hear the two words most dreaded by high school students NO CALCULATORS! That
Unit 5 Practice Problems. 1. Tom had. of a carrot cake today. How much of one whole carrot. of a carrot cake last night and
UNIT PRACTICE PROBLEMS 8: Use the diagrams given to represent the values in the addition problem and find the sum. Then perform the operation and represent the sum using the symbolic representation of
ax + b < c ax + b c Graphing Inequalities:
An inequality is a statement that contains one or more of the following symbols. < is less than is less than or equal to > is greater than is greater than or equal to is not equal to An inequality can
Honors Math 2 Unit 7: Modeling Advanced Functions
Honors Math Unit 7: Modeling Advanced Functions Name: Model situations using inverse variation (F-BF.1) Explain why a solution is extraneous and give examples of extraneous solutions (A-REI.) Create equations
Math Review for Incoming Geometry Honors Students
Solve each equation. 1. 5x + 8 = 3 + 2(3x 4) 2. 5(2n 3) = 7(3 n) Math Review for Incoming Geometry Honors Students 3. Victoria goes to the mall with $60. She purchases a skirt for $12 and perfume for $35.99.
Unit 3 Functions HW #1 Mrs. Dailey
HW#1 Name Algebra II Unit Functions HW #1 Mrs. Dailey 1) In each of the following, the variable pair given are proportional to one another. Find the missing value. (a) b = 8 when a = 16 b =? when a = 18
Eureka Math. Grade 8, Module 5. Student File_B. Contains Exit Ticket and Assessment Materials
A Story of Ratios Eureka Math Grade 8, Module 5 Student File_B Contains Exit Ticket and Assessment Materials Published by the non-profit Great Minds. Copyright 2015 Great Minds. No part of this work may
PLC Papers. Created For:
PLC Papers Created For: Compound Units 2 Grade 5 Objective: Convert standard compound units in numerical and algebraic contexts. Question 1. Ben goes on holiday to Hong Kong. In Hong Kong, Ben sees a camera
GCSE Mathematics Non Calculator Foundation Tier Free Practice Set 5 1 hour 30 minutes ANSWERS
MathsMadeEasy 3 GCSE Mathematics Non Calculator Foundation Tier Free Practice Set 5 1 hour 30 minutes ANSWERS Marks shown in brackets for each question Typical Grade Boundaries C D E F G 76 60 47 33 20
MATH ALGEBRA AND FUNCTIONS
Students: 1. Students express quantitative relationships using algebraic terminology, expressions, equations, inequalities and their graphs. 1. Use variables and appropriate operations to write an expression,
Grade 5 FSA Mathematics Reference Sheet
Grade 5 FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile = 5,280 feet 1 mile = 1,760 yards 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon
Mini-Lecture 2.1 Simplifying Algebraic Expressions
Copyright 01 Pearson Education, Inc. Mini-Lecture.1 Simplifying Algebraic Expressions 1. Identify terms, like terms, and unlike terms.. Combine like terms.. Use the distributive property to remove parentheses.
Contents Decimals Averages Percentages Metric Units Scientific Notation Dimensional Analysis
This year in APES you will hear the two words most dreaded by high school students NO CALCULATORS! That s right, you cannot use a calculator on the AP Environmental Science exam. Since the regular tests
Directions: Solve each problem. Write your answer as a simplified radical!
Directions: Simplify completely! 1) 7 ) 7 10 ) 5 + 6 + 7 4 7 4) 4 11 5) ( ) 6) (6w 8 w ) 7) 0 8 48 75 4 5 8) 7 (10 5 5 ) 9) 4 4 5 8 10) 90m n 11) 1) 5m 8 m 0 0 10 80 r r r 1) 5 18k m 14) 7 km 7km Directions:
Which one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x ) A) x = 5 B) x = -6 C) x = -5 D) x = 6
Review for Final Exam Math 124A (Flatley) Name Which one of the following is the solution to the equation? 1) 4(x - 2) + 6 = 2x - 14 1) A) x = 5 B) x = -6 C) x = -5 D) x = 6 Solve the linear equation.
Dear Parents, Guardians, and Students:
Dear Parents, Guardians, and Students: During the summer, students who will be enrolled in Algebra net year are required to complete a portfolio of mathematics problems. The purpose of this eperience is
ACTIVITY: Simplifying Algebraic Expressions
. Algebraic Expressions How can you simplify an algebraic expression? ACTIVITY: Simplifying Algebraic Expressions Work with a partner. a. Evaluate each algebraic expression when x = 0 and when x =. Use
Bridge to College Mathematics
SREB Readiness Courses Transitioning to college and careers Bridge to College Mathematics Unit 4. Linear Functions Student Manual Name 1 Math Ready. Unit 4. Student Manual Unit 4. Linear Functions Table
EOC FSA Practice Test. Algebra 1. Calculator Portion
EOC FSA Practice Test Algebra 1 Calculator Portion FSA Mathematics Reference Sheets Packet Algebra 1 EOC FSA Mathematics Reference Sheet Customary Conversions 1 foot = 12 inches 1 yard = 3 feet 1 mile
STRAND C: Measurement. UNIT C1 Units of Measurement: Text. Contents. Section. C1.1 Units and Measuring. C1.2 Upper and Lower Bounds
STRAND C: Measurement C1 Units of Measurement Text Contents Section C1.1 Units and Measuring * C1.2 Upper and Lower Bounds C1.3 Estimating Areas C1.4 Conversion of Units C1 Units of Measurement C1.1 Units
GCSE (9-1) Grade 4. Scatter Graphs
Name:.. Total Marks: GCSE (9-1) Grade 4 Scatter Graphs Instructions Use black ink or ball-point pen. Fill in the boxes at the top of this page with your name. Answer all questions. Answer the questions
Working with equations for speed and velocity
Working with equations for speed and velocity Objectives Interpret symbolic relationships. Describe motion using equations for speed and average velocity. Solve speed and velocity problems mathematically.
Loiederman Middle School. Summer Math Packet C2.0 Algebra
Loiederman Middle School Summer Math Packet C2.0 Algebra Dear Student and Parent, The purpose of this packet is to provide a review of objectives that were taught the previous school year and provide tasks
Sample. Test Booklet. Subject: MA, Grade: HS 2009 High School EOC Algebra I. - signup at to remove - Student name:
Test Booklet Subject: MA, Grade: HS 2009 High School EOC Algebra I Student name: Author: Virginia District: Virginia Released Tests Printed: Monday November 12, 2012 1 What is the solution to the inequality
Lesson 22: Solving Equations Using Algebra
Student Outcomes Students use algebra to solve equations (of the form px + q = r and p(x + q) = r, where p, q, and r are specific rational numbers); using techniques of making zero (adding the additive
LESSON F6.1 UNITS OF MEASUREMENT
LESSON F6. UNITS OF MEASUREMENT LESSON F6. UNITS OF MEASUREMENT 545 546 TOPIC F6 INTERPRETING DATA Overview We have already worked with quantities that included units such as centimeters and inches. To
121. y = Each solution is 32 units from = 2. > 3. < 4. > 5. > 6. > 1. x < q no 9. yes 10.
. y =,. y =. y = x. x =, Each solution is units from... y x =. x m x =. C = ; months; months x = w u + r. no solution. n =,. no solution Each solution is units from. Each solution is units from. Chapter.
Name Date Section Spring Break packet
Name Date Section Spring Break packet 1. Jenny is in charge of ordering T-shirts for the math club at her school. If she paid $300 for 20 T- shirts, which of the following statements is true? Jenny paid
UNIT 2 SOLVING EQUATIONS
UNIT 2 SOLVING EQUATIONS NAME: GRADE: TEACHER: Ms. Schmidt _ Solving One and Two Step Equations The goal of solving equations is to. We do so by using. *Remember, whatever you to do one side of an equation.
Grade 6 Mathematics Unit 4 Expressions and Equations. Topic D Inequalities. Name: Mrs. Archacki
Notes Packet #12 Grade 6 Mathematics Unit 4 Expressions and Equations Topic D Inequalities Name: Mrs. Archacki 1 Topic Objectives By the end of this topic you will be able to write inequalities. graph
MATH ALGEBRA AND FUNCTIONS
Students: 1. Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations and graph and interpret their results.
6 th Grade - TNREADY REVIEW Q3 Expressions, Equations, Functions, and Inequalities
6 th Grade - TNREADY REVIEW Q3 Expressions, Equations, Functions, and Inequalities INSTRUCTIONS: Read through the following notes. Fill in shaded areas and highlight important reminders. Then complete
5. Arrange the following decimal numbers in order from least to greatest
( No Calculator Allowed) New material covered: F2.3-F2.4, F3.-F3.2, F4.-F4.2, and handouts Exercise Sets F3.2 & F4.2. Represent the shaded part of the 00 square grid a. as a fraction of the whole grid.
UNIT 5 QUADRATIC FUNCTIONS Lesson 1: Interpreting Structure in Expressions Instruction
Prerequisite Skills This lesson requires the use of the following skills: evaluating expressions using the order of operations evaluating expressions for a given value identifying parts of an expression
introducing New Math TEKS
introducing New Math TEKS Types of Standards Process Content ? Where in the new TEKS are the Process Standards? in the old TEKS were the Process Standards? What are the instruc;onal implica;ons for this?
UNIT #3 LINEAR FUNCTIONS, EQUATIONS, AND THEIR ALGEBRA COMMON CORE ALGEBRA II
Name: Date: Part I Questions UNIT #3 LINEAR FUNCTIONS, EQUATIONS, AND THEIR ALGEBRA COMMON CORE ALGEBRA II. The distance that a person drives at a constant speed varies directly with the amount of time
Algebra I EOC Review (Part 2) NO CALCULATORS
1. A Nissan 370Z holds up to 18 gallons of gasoline. If it can travel on 22 miles per gallon in the city, write an equation to model this. 2. Carol wants to make a sculpture using brass and aluminum, with
Keystone Exam Practice Test # 6
Keystone Review Practice Test 6 Name: Date: Period: Keystone Exam Practice Test # 6 Part 1 Multiple Choice 1) When x = 2, which expression can be completely simplified to 4 5? A) 2 5x B) 2 10x C) 5 2x
CCGPS Coordinate Algebra. EOCT Review Units 1 and 2
CCGPS Coordinate Algebra EOCT Review Units 1 and 2 Unit 1: Relationships Among Quantities Key Ideas Unit Conversions A quantity is a an exact amount or measurement. A quantity can be exact or approximate
Newton s Third Law KEY IDEAS READING TOOLBOX. As you read this section keep these questions in mind: Name Class Date
CHAPTER 12 Forces 3 SECTION KEY IDEAS Newton s Third Law As you read this section keep these questions in mind: What happens when one object exerts a force on another object? How can you calculate the
Ch. 12 Rational Functions
Ch. 12 Rational Functions 12.4 Simplifying Complex Expressions Outline Definition A fraction with a complex expression in the numerator and/or denominator. Methods for Simplifying Method 1 Division of
MONDAY, AUG 8 (10 MIN) Grab handouts on the way in and sit in your assigned seat If you are buying a binder from Ms. Ewalefo, give her your $1 now
MONDAY, AUG 8 (10 MIN) Grab handouts on the way in and sit in your assigned seat If you are buying a binder from Ms. Ewalefo, give her your $1 now and collect your binder Take out binder and label your
Practice A. Name Date. Evaluate the expression for the given value of the variable. Match the equation with its solution. Solve the equation.
mm mm OFF ON ZERO Name Date Practice A For use with pages 390 395 Evaluate the expression for the given value of the variable.. 2 x 2 3 4; 25 2. 3 2x 8 2 0; 3 3. 24 x 2 9 ; 26 Match the equation with its
Problem 2 More Than One Solution
Problem More Than One Solution 1. Water becomes non-liquid when it is 3 F or below, or when it is at least 1 F. a. Represent this information on a number line. b. Write a compound inequality to represent
Grade 7 Mathematics Practice Test
Grade 7 Mathematics Practice Test Nebraska Department of Education 2014 Directions: On the following pages are multiple-choice questions for the Grade 7 Practice Test, a practice opportunity for the Nebraska
Units and Dimensional Analysis
LESSON Units and Dimensional Analysis UNDERSTAND When solving a problem, it is important to correctly identify the units being considered or measured. This may require converting a quantity given in one
Item Specification Sheet Algebra I Semester Exam
Item Specification Sheet Algebra I Semester Exam Free Response: 1. Illustrating Mathematical Properties 2. Equations with Infinitely Many Solutions or No Solution 3. Relations and Functions 4. Application
Math 96 Final Exam Study Guide Exam will consist of problems from old exams, plus at least 5 problems similar to the following:
Math 96 Final Exam Study Guide Exam will consist of problems from old exams, plus at least 5 problems similar to the following: Section 3.1 1. Solve the following system of equations. If the system does
Pattern & Algebra Practice Problems
Pattern & Algebra Practice Problems Solve Linear Inequalities 1. Solve for x. A. x > -3 B. x > 0 C. x < 0 D. x < -3 4x < -6 + 2x Symbolize Problem Situations 2. Scott is draining his swimming pool. The
Name. 1. Given the solution (3, y), what is the value of y if x + y = 6? 7. The graph of y = x 2 is shown below. A. 3 B. 4 C. 5 D.
Name 1. Given the solution (, y), what is the value of y if x + y = 6? 7. The graph of y = x is shown below. 5 D. 6. What are the solutions to the equation x - x = 0? x = - or x = - x = - or x = 1 x =
Unit Essential Questions. Can equations that appear to be different be equivalent? How can you solve equations?
Unit Essential Questions Can equations that appear to be different be equivalent? How can you solve equations? What kinds of relationships can proportions represent? Williams Math Lessons TARGET ONE-STEP
Lesson 9: Representing Proportional Relationships with Equations
: Representing Proportional Relationships with Equations Classwork Example 1: Jackson s Birdhouses Jackson and his grandfather constructed a model for a birdhouse. Many of their neighbors offered to buy
The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA. Student Name. School Name
ALGEBRA I The University of the State of New York REGENTS HIGH SCHOOL EXAMINATION ALGEBRA I Large-Type Edition Thursday, August 16, 2018 8:30 to 11:30 a.m., only Student Name School Name The possession
Lesson 5: Solving Linear Systems Problem Solving Assignment solutions
Write inequalities to represent the following problem, and then solve to answer the question. 1. The Rent-A-Lemon Car Rental Company charges $60 a day to rent a car and an additional $0.40 per mile. Alex
( ) ( 4) ( ) ( ) Final Exam: Lessons 1 11 Final Exam solutions ( )
Show all of your work in order to receive full credit. Attach graph paper for your graphs.. Evaluate the following epressions. a) 6 4 6 6 4 8 4 6 6 6 87 9 b) ( 0) if ( ) ( ) ( ) 0 0 ( 8 0) ( 4 0) ( 4)