 Lesson Objective: NCSCOS 4.01 Use linear functions to model and solve problems; justify results.  Students will know how to write an equation from.

Slides:

Advertisements

Similar presentations

Solving Inequalities with variables on both sides of the Sign

Advertisements

Solving Equations with variables on both sides of the Equals

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Write an equation in slope- intercept form  The slope-intercept equation is also referred to as linear equation,linear model or function.

Dixon and his dog weigh 112 pounds. Dixon weighs 91 pounds. Write and solve an addition equation to the dog’s weight. 1.

+/- Equations Lessons 2-5 and 2-6. Warm-up 1)2 + ( 16 ÷ 2 2 ) x 5 – 14 = 2)(3 2 – 4) x ÷ 2 = 3)12 – – 7 = 4)36 ÷ 3 2 x 2 2 ÷ 4 =

Writing and Solving Inequalities

1 Lesson Applications of Equations Applications of Equations.

Lesson 1.e: write and graph linear equations using slope intercept form After this lesson you will be able to… Write the equation of a line in slope-intercept.

Student Learning Goal Chart Chapter 10 Pre-Algebra Learning Goal Students will understand solving linear equations and inequalities.

Introduction Inequalities are similar to equations in that they are mathematical sentences. They are different in that they are not equal all the time.

Creating Linear Inequalities

Solving Equations with variables on both sides of the Equals Chapter 3.5.

Do Now: Solve the following equations

EOC Practice EOC Practice Continues.

Daily Essential Question:

California Standards AF4.1 Solve two-step linear equations and inequalities in one variable over the rational numbers, interpret the solution or solutions.

Solving Two-Step Equations

Determining Slope and Y-Intercept

Warm Up Solve. 1. 6n + 8 – 4n = –4w + 16 – 4w = – t – 17 – 13t = k + 9 Course Solving Equations with Variables on Both Sides.

Expressions vs. Equations 4x x and 3x + 31 = 32 An expression is an operation with variables or numbers but no equal sign. – Example: 4x +5 or 4(x+5)

Problem: Nathan pays $68 for his favorite x-box game. Each month he has to pay $3 to clean the game since he plays it so much. If he doesn’t pay for cleaning.

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Warm Up Solve. 1. x + 12 = x = 120 = 7 4. –34 = y + 56 x = 23

HW # 25- p. 100 # all BRING AN EGG CARTON Warm up Week 7, Day One Solve. a)Y = -49d) - h = b) 4.7m = c) k-3.2 = -6.8.

Splash Screen. Over Lesson 7–6 5-Minute Check 1 Over Lesson 7–6 5-Minute Check 1.

5 Minute Check Find. Complete in your notes (7 – 3) · (-4) – 1(-4) ³ + (4 – 2)

Solving Two-Step Equations. When solving algebraic equations our main goal is to get the variable (letter) by itself. Step One: use inverse operations.

You already know how to solve equations like these:

Chapter 3 Lesson 5 Solving 2-Step Equations Pgs What you will learn: To solve 2-step equations!

Splash Screen. Over Lesson 4–4 Solve 4(2x + 3) = 260. Check your solution. Solve –2(6y) = 144. Check your solution. A forest preserve rents canoes for.

Unit 3 Solving Equations. Learning Goals I can solve simple one and two step equations Unit 3: Solving Equations Solving Polynomial Equations (1)

Using linear equations to solve word problems

Word Problem! Oh No! Your car has broken down! You don't like walking so you call the local garage to find out what they will charge you to fix it. The.

Chapter 5.1.  Lesson Objective: NCSCOS 4.01 – Students will know how to find the slope of a line  Students will know how to find the equation of a line.

Holt CA Course Solving Equations with Variables on Both Sides Preview of Algebra Students solve multistep problems, including word problems,

Evaluating Algebraic Expressions 1-9 Solving Two-Step Equations AF4.1 Solve two-step linear equations and inequalities in one variable over the rational.

11-3 Solving Equations with Variables on Both Sides Course 2 Warm Up Warm Up Problem of the Day Problem of the Day Lesson Presentation Lesson Presentation.

2-8 Solving Two-Step Equations Warm Up Solve. 1. x + 12 = x = = 7 4. –34 = y + 56 x = 23 x = 15 y = 63 y = –90 y9y9 Lesson 23.

Chapter 7.5. Graphing Systems of Inequalities Lesson Objective: NCSCOS 2.01 Students will know how to graph a system of linear inequalities.

Ch POD 1. A = M = Equations with variables on both sides Solve: 6x + 3 = 8x - 21 First we want to get x on one side…. 6x.

CONFIDENTIAL 1 Algebra1 Slope-Intercept Form. CONFIDENTIAL 2 Warm Up Find the slope of the line described by each equation. 1) 4x + y = -9 2) 6x - 3y.

PRE-ALGEBRA. Lesson 7-1 Warm-Up PRE-ALGEBRA What is a two-step equation? How can you use a model to show how to solve a two-step equation? two-step equation:

Unit 4 Quiz Review Chapter 6 Lessons 1-5.

HW # 24- p. 100 # 1-14 and I also posted some extra practice problems Warm up Week 6, Day Four Robert is 5 feet 6 1/2 inches tall. Judy is 5 feet.

HW # 25- Holt p. 100 # all BRING AN EGG CARTON October 23, 2012: Week 7, Day One Go Giants! Warm Up: A straight fence is constructed from posts 6.

 Solve the following…  6 = x + 2  4 = q + 13  23 = b - 19  5b = 145  -7y = 28  2/3q = 18  1/5x = 2/7.

Additional Example 1: Using Inverse Operations to Group Terms with Variables Group the terms with variables on one side of the equal sign, and simplify.

Only those with single- step equation experience dare proceed! Section 6.4.

Rate of Change Slope Scenarios. Please pick up your calculator as you walk in! Identify the slope and y-intercept for each of the following equations.

 Equation: A statement that two expressions are =  Linear Equation: Can be written in the form ax + b = 0 (a and b are coefficients and a≠0)

Chapter 7.3.  Objective NCSCOS 4.03  Students will know how to solve a system of equations using addition.

Using appropriate operations. Parking at Dallas-Fort Worth Airport is $3 for the first hour and $1.25 for each additional hour. Mrs. Sanders left her.

Solving Linear Equations Lesson 1.3. Vocabulary Equation-a statement in which two expressions are equal. Linear Equation-an equation that can be written.

11-1 Solving Two-Step Equations Do Now 1. 9b + 8 = –10 = c Solve the equation. Check you answer y – 3 = x = -16 b = 8 x.

Evaluating Algebraic Expressions 2-8 Two-Step Equations with Rational Numbers AF4.1 Solve two-step linear equations in one variable over the rational numbers.

Warm-Up Discuss your solutions with your neighbor Give an example of Distributive Property Simplify the following expression -2(3x – 5) -6x + 10 ** Be.

3.5 Solving Equations with Variables on Both Sides.

Splash Screen. Lesson Menu Five-Minute Check (over Lesson 4–4) NGSSS Then/Now New Vocabulary Example 1:Solve a Two-Step Equation Example 2:Solve a Two-Step.

Substitution Method: Solve the linear system. Y = 3x + 2 Equation 1 x + 2y=11 Equation 2.

Solving Two-Step Equations

Additional Examples 1A: Solving Equations with Decimals

Lesson 7.3 Solve Linear Systems by Adding or Subtracting

isolate inverse opposite constants coefficients reciprocal subtraction

Objective- To solve equations in the form ax - b = c.

Solving Word Problems with Variables on Both Sides

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Do Now b = 8 x = -4 c = -5 y = 3 Solve the equation. Check you answer.

Unit 2B/3A Solving Equations

Warm Up Problem of the Day Lesson Presentation Lesson Quizzes.

Presentation transcript:

 Lesson Objective: NCSCOS 4.01 Use linear functions to model and solve problems; justify results.  Students will know how to write an equation from a problem.  Students will know how to solve equations for a variable.

 Tamara charges $25 per hour to clean windows. She also receives $5 for transportation to the job. One Saturday, Tamara earned $130.  The first step to solving a problem like this is to find the question.  What is the question asking for?  If we don’t know something what do we call it? How many hours did Tamara work?

 Tamara charges to clean windows. She also receives $5 for transportation to the job. One Saturday, Tamara earned $130. How many hours did Tamara work?  We know that hours =  What goes with hours in the problem?  $25 $25 per hour

 Start with the equation of a line:  We know that $25 goes with the x, so plug it in for m.  We now have to replace the “b” to get our equation

 Tamara charges $25 per hour to clean windows. She also receives for transportation to the job. One Saturday, Tamara earned $130. How many hours did Tamara work?  “b” is the y-intercept or the constant so it doesn’t change  How much does Tamara make no matter how long she works? $5

 Replace the “b” with $5:  always represents a total. If there is a total in the problem, we will replace the y with the total

 Tamara charges $25 per hour to clean windows. She also receives $5 for transportation to the job. One Saturday, How many hours did Tamara work?  Is there a total?  Therefore, y = $130 Tamara earned $130.

 Replace y with $130  Solve for x: subtract 5 from both sides  Divide both sides by 25

 An MP3 player costs $195 including tax. You already have $37 and can save $9 per week. After how many weeks can you buy the player?

 An MP3 player costs $195 including tax. You already have $37 and can save per week. After how many can you buy the player?  Write the equation of a line  What is the question asking for?  x = # of weeks  What goes with the # of weeks? weeks $9

 An MP3 player costs $195 including tax. You already have $37 and can save $9 per week. After how many can you buy the player?  Replace m with $9  $37 doesn’t change since you already have that in the bank. Replace b with $37  $195 is the total, so replace y with $195 weeks

 Subtract 37 from both sides  Divide both sides by 9  If the number of weeks isn’t an even number, round up

 An MP3 player costs $195 including tax. You already have $37 and can save $9 per week. After how many weeks can you buy the player?  In 18 weeks you will have enough for the Mp3 player

 A telephone calling card allows 25¢ per minute plus a one-time service charge of 75¢. How many minutes can Rob talk if he paid $5 for the card?

 The Brown’s computer repair bill was $225. This included $75 for parts and $50 for each hour of labor. How many hours did the computer repairman work?  A local airport charges $12 for the first day of parking and $9 for each additional day. Gus paid $120 for parking. How many days was Gus’s car parked at the airport?