Martin-Gay, Beginning Algebra, 5ed 22 Strategy for Problem Solving General Strategy for Problem Solving 1Introduction: Understand the problem by: Read.

Slides:



Advertisements
Similar presentations
An Introduction to Problem Solving
Advertisements

Equations, Inequalities and Problem Solving
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.
2.1 – Linear Equations in One Variable
3-3 Solving Multiplication Equations. Solve Solution GOAL Find the value of the variable that makes the equation TRUE. The value that makes the equation.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 3 Solving Equations and Problem Solving.
Solving Equations with variables on both sides of the Equals Chapter 3.5.
Formulas and Problem Solving
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. Chapter 9 Equations, Inequalities, and Problem Solving.
Please CLOSE YOUR LAPTOPS, and turn off and put away your cell phones, and get out your note- taking materials.
Chapter 2 Equations, Inequalities and Problem Solving.
Martin-Gay, Beginning Algebra, 5ed 22 General Strategy for Problem Solving 1Introduction: Understand the problem by: Read and reread the problem Choose.
§ 2.8 Solving Linear Inequalities. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Linear Inequalities in One Variable A linear inequality in one.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 9.3 Further Solving Linear Equations.
The Multiplication Principle of Equality
§ 2.3 The Multiplication Property of Equality. Martin-Gay, Beginning Algebra, 5ed 22 Multiplication Property of Equality If a, b, and c are real numbers,
Chapter 2 Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter Copyright © 2015, 2011, 2007 Pearson Education, Inc. Chapter 2-1 Solving Linear.
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.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall. 4.8 Solving Equations Containing Fractions.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Solving Systems of Linear Equations by Addition.
Copyright © 2011 Pearson Education, Inc. Publishing as Prentice Hall Quadratic Equations and Problem Solving.
§ 2.7 Further Problem Solving. Martin-Gay, Beginning and Intermediate Algebra, 4ed 22 Strategy for Problem Solving General Strategy for Problem Solving.
EXAMPLE 2 Solving an Equation Involving Decimals 1.4x – x = 0.21 Original equation. (1.4x – x)100 = (0.21)100 Multiply each side by 100.
Martin-Gay, Beginning Algebra, 5ed 22 Strategy for Problem Solving General Strategy for Problem Solving 1Introduction: Understand the problem by: Read.
Quadratic Equations and Problem Solving. Martin-Gay, Developmental Mathematics 2 Strategy for Problem Solving General Strategy for Problem Solving 1)Understand.
Martin-Gay, Beginning Algebra, 5ed
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.
1.4 Solving Equations.
Section 2.1 Simplifying Algebraic Expressions
Strategy for Problem Solving
6-3: Solving Equations with variables on both sides of the equal sign
My Equations Booklet.
Copyright 2013, 2009, 2005, 2002 Pearson, Education, Inc.
Simplifying Algebraic Expressions
Solving Multi-Step Equations
CLOSE Please YOUR LAPTOPS, and get out your note-taking materials.
2 Understanding Variables and Solving Equations.
Linear Equations Mr. HUYNH
Math Objective: Solve Two-Step Equations
A QUICK REVIEW OF ALGEBRA
6-2 Solving Systems Using Substitution
Example 2 4 m 8 m 5m 12 m x y.
Solving Multi-Step Equations
Example 2 4 m 8 m 5m 12 m x y.
Lesson 2.1 How do you use properties of addition and multiplication?
Lesson 3.1 How do you solve one-step equations using subtraction, addition, division, and multiplication? Solve one-step equations by using inverse operations.
Solving Multi-Step Equations
Linear Equations in One Variable and Problem Solving
OBJECTIVE: Students will solve multistep equations.
Equations Containing Decimals
Multi-Step Equations Mrs. Book.
1.4 Solving Equations I’ve taught you how to solve equations the “simonized” way but here’s another way of doing the same thing!
Solving Multi-Step Equations
Warm Up Solve. 1. 2x + 9x – 3x + 8 = –4 = 6x + 22 – 4x 3. + = 5
Equations Containing Decimals
Solving Multi-Step Equations
Solving Equations Containing Fractions
Objective Solve equations in one variable that contain more than one operation.
Do Now 10/13/11 In your notebook, simplify the expressions below.
Think about… How is an equation like a balance scale?
Solving Multi-Step Equations
2.2 Solving Equations with Variables on Both Sides
Objective The student will be able to:
Lesson 7-6 Multiplying a Polynomial by a Monomial
Solving Equations.
Solving Two Step Algebraic Equations
If an equation contains fractions, it may help to multiply both sides of the equation by the least common denominator (LCD) to clear the fractions before.
Presentation transcript:

Martin-Gay, Beginning Algebra, 5ed 22 Strategy for Problem Solving General Strategy for Problem Solving 1Introduction: Understand the problem by: Read and reread the problem Choose a variable to represent the unknown Construct a drawing, whenever possible 2.Body: Translate the problem into an equation and solve the equation 3.Conclusion: Interpret your result State your conclusion

Martin-Gay, Beginning Algebra, 5ed 33

44

55

66

77

88 Find the area of the trapezoid. Find the volume of the right circular cylinder.

Martin-Gay, Beginning Algebra, 5ed 99

10 It is often necessary to rewrite a formula so that it is solved for one of the variables. This is accomplished by isolating the designated variable on one side of the equal sign.

Martin-Gay, Beginning Algebra, 5ed 11 Example Divide both sides by mr.Simplify right side. Solve for n.

Martin-Gay, Beginning Algebra, 5ed 12 Solving Equations for a Specific Variable 1.Multiply to clear fractions. 2.Use distributive property to remove grouping symbols. 3.Combine like terms to simplify each side. 4.Get all terms containing specified variable on the same side, other terms on the opposite side. 5.Isolate the specified variable.

Martin-Gay, Beginning Algebra, 5ed 13 Example Solve for T. Subtract P from both sides. Simplify right side. Divide both sides by PR. Simplify right side.

Martin-Gay, Beginning Algebra, 5ed 14 Solve for the indicated variable.