Addition Method Applications Section 4.2 (day 2).

Slides:

Advertisements

Similar presentations

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.

Advertisements

8.6 Coin and Ticket Problems CA Standard 9.0CA Standard 9.0 Two Key TermsTwo Key Terms.

Technical Question Technical Question

A system of linear equations allows the relationship between two or more linear equations to be compared and analyzed. 5.1 – Systems of Linear Equations.

Chapter 7 – Solving Systems of Linear Equations 7.3 – Solving Linear Systems by Linear Combinations.

Chapter 7 – Solving Systems of Linear Equations

Systtems of Linear Equations Quiz #1 Review White Board Practice.

CHAPTER 7-1 SOLVING SYSTEM OF EQUATIONS. WARM UP  Graph the following linear functions:  Y = 2x + 2  Y = 1/2x – 3  Y = -x - 1.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

BELL WORK X - 7 = -1 X - 4 = 66 8 = X = X - 2 X = 6 X = 70 X = 10 X = -6.

3x – 5y = 11 x = 3y + 1 Do Now. Homework Solutions 2)2x – 2y = – 6 y = – 2x 2x – 2(– 2x) = – 6 2x + 4x = – 6 6x = – 6 x = – 1y = – 2x y = – 2(– 1) y =

Solving Systems of Equations Algebraically STEPS: 1.Solve for a variable in either equation. Get variable alone (x or y) 2.Substitute for this variable.

Solving Linear Systems by Substitution O Chapter 7 Section 2.

SOLVING SYSTEMS ALGEBRAICALLY SECTION 3-2. SOLVING BY SUBSTITUTION 1) 3x + 4y = 12 STEP 1 : SOLVE ONE EQUATION FOR ONE OF THE VARIABLES 2) 2x + y = 10.

 You are selling tickets for a high school basketball game. Student tickets cost $3 and general admission tickets cost $5. You sell 350 tickets and collect.

Name the United States Coins Count the Pennies 10 ¢

Equations and Problem Solving

Warm-Up: Put the following equations into y= mx + b form: a) 2y + 14x = 6b) -3y – 4x – 15 = 0.

CHAPTER 1 – EQUATIONS AND INEQUALITIES 1.6 – SOLVING COMPOUND AND ABSOLUTE VALUE INEQUALITIES Unit 1 – First-Degree Equations and Inequalities.

Solving Linear Systems Algebraically with Substitution Section 3-2 Pages

Section 5.3 Solving Systems of Equations Using the Elimination Method There are two methods to solve systems of equations: The Substitution Method The.

Solve Systems of Linear Equations Application Problems.

Section 4.5 Direct Variation. What happens to Y as X goes up by 1?

Solving Quadratic Equations by Factoring. The quadratic equation is written in the form ax 2 + bx + c = 0 To solve quadratic equations by factoring we.

Solving Word Problems Using Linear Systems

Solving Linear Systems by Substitution

Solve Linear Systems by Substitution January 28, 2014 Pages

9.3 Equations and Absolute Value Goal(s): To solve equations involving absolute value.

Solving Linear Systems Algebraically Section 3-2 Solving Linear Systems Algebraically.

Chapter 9 Unit Question – How do we solve linear systems?

Solve Linear Systems by Elimination February 3, 2014 Pages

Applications of Systems of Equations. Three Steps to solving applications  Step 1: NAME YOUR VARIABLES!! What are you looking for and what are you going.

In your groups Complete subtraction problems with positive and negative numbers.

Warm-up 1. Solve the following system of equations by graphing: 3x – y = -3 y – 3x = Determine the solution type from the following system of equations:

Objectives: 1.Be able to write equations of application problems. 2.Be able to solve applications using substitution or elimination. Critical Vocabulary:

Warm Up Find the solution to linear system using the substitution method. 1) 2x = 82) x = 3y - 11 x + y = 2 2x – 5y = 33 x + y = 2 2x – 5y = 33.

6) x + 2y = 2 x – 4y = 14.

7.3 Solving Equations Using Quadratic Techniques

Chapter 12 Section 1.

Solving Systems Using Elimination

Solving Systems Of Equations Algebraically

1-5 Equations Goals: Solve equations with one variable

Chapter 7 – Systems of Linear Equations and Inequalities

Solve Linear Systems by Graphing

Lesson 111: Three Statements of Equality

MATH 1311 Section 3.5.

Solving Systems Using Substitution

Equations and Problem Solving

Notes Over 9.6 An Equation with One Solution

Solve a system of linear equation in two variables

Solving Systems of Equations using Substitution

MATH 1311 Section 3.5.

Objective: To solve systems of second degree equations

Name the United States Coins

Warm-up 1. Solve the system of equations 3x + 2y = 12 and x – y = – 1 graphically. 2. Solve the system. Then classify the system as consistent and independent,

7.2 Solving Systems of Equations Algebraically

Solving Systems of Equation by Substitution

Algebra 2 Ch.3 Notes Page 15 P Solving Systems Algebraically.

Unit 7, Lesson 1 Trigonometry / Pre-Calculus

Solve Special Types of Linear Systems

Systems of Equations Solve by Graphing.

8.2 Solving by Substitution

Algebra 1 Section 2.8.

Solving Compound Inequalities

7.1 Solving Systems of Equations

Algebra 1 Section 7.7.

Section 8.4 Chapter 8 Systems of Linear Equations in Two Variables

Equations With Two Variables pages

Solve Quadratic Equations by the Quadratic Formula

Presentation transcript:

Addition Method Applications Section 4.2 (day 2)

Example 1: One-half of the boys and one-third of the girls of Freemont High attended the homecoming game, whereas one-third of the boys and one-half of the girls attended the homecoming dance. If there were 570 students at the game and 580 at the dance, then how many students are there at Freemont High? 12-18

Example 2: The value of 35 coins consisting of nickels and dimes is $3.30. How many are there of each type?

Example 3: Regular yogurt, which is 3% fat, is blended with nonfat yogurt to make a lowfat yogurt blend, which is 1% fat. How many pounds of each is needed to obtain 60 pounds of lowfat yogurt? %fatlbsamt fat reg.03x.03x nonfat0y0y blend

Example 4: For the system find the values of a and b so the solution set to the system is (5, 12). substitute (5, 12) into each equation and solve for a or b:

Homework: Page 245 # 54 – 60 evens 68, 70, 74