2-4 Solving Equations Goal:

Slides:

Advertisements

Similar presentations

Linear Equations Please Read Entire Section 2.1, pages in the text.

Advertisements

3-5 Solving Equations with the variable on each side Objective: Students will solve equations with the variable on each side and equations with grouping.

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

WARM UP BIKE SAFETY: You live near a mountain bike trail. You can rent a mountain bike a safety helmet for $10 an hour. If you have your own helmet, the.

12.3 Linear Functions. Linear Function M= rate B= constant.

9.1 – Solving Equations.

Lesson 3-5: Solving Equations with the Variable on Each Side.

Advanced Algebra - Trigonometry Objective: SWBAT solve linear equations. 1.

Martin-Gay, Beginning Algebra, 5ed Using Both Properties Divide both sides by 3. Example: 3z – 1 = 26 3z = 27 Simplify both sides. z = 9 Simplify.

2.1 Solving One Step Equations. Addition Property of Equality For every real number a, b, and c, if a = b, then a + c = b + c. Example 8 = For every.

Systems of Equations: Substitution

Solve Linear Systems by Substitution January 28, 2014 Pages

Lesson 7-1 Pages Solving Equations with Variables on Each Side.

Solve Linear Systems by Substitution Students will solve systems of linear equations by substitution. Students will do assigned homework. Students will.

Solve Equations With Variables on Both Sides. Steps to Solve Equations with Variables on Both Sides  1) Do distributive property  2) Combine like terms.

6-2 SOLVING LINEAR SYSTEMS BY SUBSTITUTION Goal: Use substitution to solve a linear system Eligible Content: A / A

6-1 Solving Systems by Graphing AGAIN Goals: Interpret solutions for special problems. Model a real-life problem using a linear system. Eligible Content:

Solving Multi-Step Equations INTEGRATED MATHEMATICS.

Martin-Gay, Beginning Algebra, 5ed

Goal: Use linear systems to solve real-life problems. Eligible Content: A / A

Solving Equations with Variables on Both Sides. Review O Suppose you want to solve -4m m = -3 What would you do as your first step? Explain.

3.5 Solving Equations with Variables on Both Sides.

§ 2.3 Solving Linear Equations. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Solving Linear Equations Solving Linear Equations in One Variable.

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

Solving Multistep Linear Equations Using Algebra Tiles

2-2 Solving One-Step Equations

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

6-1 Solving Systems by Graphing AGAIN

6-2 Substitution Again Goals: Solve linear systems using substitution

Solving Multistep Equations

Example: Solve the equation. Multiply both sides by 5. Simplify both sides. Add –3y to both sides. Simplify both sides. Add –30 to both sides. Simplify.

6-6 Systems of Linear Inequalities

The learner will solve equations with variables on both sides

8-6 Solving Quadratic Equations using Factoring

Chapter 7 – Systems of Linear Equations and Inequalities

2 Understanding Variables and Solving Equations.

Homework # 10 – Word Problems

2-3 Solving Multi-Step Equations

Section 1.7 Linear Inequalities and Absolute Value Inequalities

6-2 Solving Systems By Using Substitution

6-2 Solving Systems Using Substitution

Solving Systems using Substitution

Solve System by Linear Combination / Addition Method

Solving Linear Equations in one Variable

Do Now 1) t + 3 = – 2 2) 18 – 4v = 42.

1.3 Solving Linear Equations

Equations with Variables on Both Sides

Equations with Variables on Both Sides

COMBINING LIKE TERMS.

6-1 Linear Systems Goal: Solve a system of linear equations by graphing Eligible Content: A / A

Solving Multi-Step Equations

2-2 Solving One-Step Equations

6-2 Solving Linear Systems by substitution

} 2x + 2(x + 2) = 36 2x + 2x + 4 = 36 4x + 4 = x =

3.1 Addition Property of Equality (APE)

9.2 Solving Quadratic Equations using square roots

2-4 Solving equations with variables on both sides

Using the Properties Together

1.6 – Variables on Both Sides

Section 3.4 Solving Equations with Distribution on Both Sides

6-2 Substitution Again Goals: Solve linear systems using substitution

6-5 Applications of Linear Systems AGAIN

2-3 Solving Multi-Step Equations

Bellwork x – 2(x + 10) = 12.

6-1 Solving Systems by Graphing AGAIN

6-3 & 6-4 Elimination Goals: Solve systems using linear combinations.

Solving Linear Equations

6-6 Systems of Linear Inequalities

Steps for Solving an Equations: Topic: Solving Complex Equations

Presentation transcript:

2-4 Solving Equations Goal: Solve complex linear equations that involve distributive property, combining like terms, and variables on both sides. Eligible Content: A1.1.2.1.1 / A1.1.2.1.2 / A1.1.2.1.3

Steps Simplify each side of equation. Move variables to the same side. Get the variable alone.

Examples 3(x + 2) = 4x + 2 3(x + 1) = 3x + 3 2(3x + 4) = 8x + 9 all real numbers 2(3x + 4) = 8x + 9 x = –0.5 2(x + 4) + 3x = 2x – 7 x = –5

Examples 4(1 – x) + 3x = -2(x + 1) 2(12x + 16) = 60 + 24(x – 2) no solution 12 – (3x + 8) = -2(x – 4) x = –4

A. 38 B. 28 C. 10 D. 36

A. B. 0 C. All real numbers D. no solution

Practice Worksheet – “Combining Like Terms, Distributive Property and Variables on Both Sides”

Word Problem #1 One car rental agency charges $60 plus $0.50 per mile to rent a car. Another car rental agency charges $47.50 and $0.75 per mile to rent a car. How many miles would you have to drive for each agency to cost the same amount? 0.50x + 60 = 0.75x + 47.50 50 miles

Word Problem #2 There are 75 students taking Spanish. This number is increasing by 5 students per year. There are 99 students taking German. This number is decreasing by 3 students per year. How long until the same number of students are taking Spanish and German? 5x + 75 = -3x + 99 3 years

Homework Page 100 #3-8, 16-21