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B.1 Solving Equations by Mind Map: B.1 Solving Equations
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B.1 Solving Equations

B.18 Review: I still don't get it

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B.12Translating

Writing Expressions

Translating sentences to expressions

Translating expressions into sentences

Writing Equations

Translating sentences to equations

Translating equations into sentences

Review: Step by Step

Practice:

I still don't get it

Why do I need to know this?

pg 9 Q38,39

B.13Solving One-Step Equations

don't forget to include decimals and negative answers, and http://www.freemathvideos.com In this video series I show you how to solve two step equations. To solve two step equations we have to isolate the variable. Unlike one step equations we now have two operations to undo that are being applied to our variable. We follow the reverse order of operations by undoing subtraction and addition first and then multiplication and division. Tags: solving, solve, two, step, equation, inverse, operations, reverse, order of operations, addition, subtraction, division, how to, learn

B.131 Addition

Make sure you have two examples with the variable in front and behind http://www.freemathvideos.com In this video series I show you how to solve one step equations by using the inverse operation property of equality. When solving for a variable in an equation it is important to isolate the variable. We do this by undoing what is happening to the variable. We undo this by applying the inverse operations. Tags: inverse, operations, solving, solve, one, step, equation, subtraction, addition.

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B.132 Subtraction

Make sure you provide two examples. One with a subtraction sign and one with a negative sign http://www.freemathvideos.com In this video series I show you how to solve one step equations by using the inverse operation property of equality. When solving for a variable in an equation it is important to isolate the variable. We do this by undoing what is happening to the variable. We undo this by applying the inverse operations. Tags: inverse, operations, solving, solve, one, step, equation, subtraction, addition.

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B.133 Multiplication

Make sure you provide two examples one with a fraction and one with a ratio http://www.freemathvideos.com In this video series I show you how to solve one step equations by using the inverse operation property of equality. When solving for a variable in an equation it is important to isolate the variable. We do this by undoing what is happening to the variable. We undo this by applying the inverse operations. Tags: inverse, operations, solving, solve, one, step, equation, multiplication, division

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B.134 Division

http://www.freemathvideos.com In this video series I show you how to solve one step equations by using the inverse operation property of equality. When solving for a variable in an equation it is important to isolate the variable. We do this by undoing what is happening to the variable. We undo this by applying the inverse operations. Tags: inverse, operations, solving, solve, one, step, equation, multiplication, division

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B.135 Reciprocals

http://www.freemathvideos.com In this video series I show you how to solve one step equations by using the inverse operation property of equality. When solving for a variable in an equation it is important to isolate the variable. We do this by undoing what is happening to the variable. We undo this by applying the inverse operations. Tags: inverse, operations, solving, solve, one, step, equation, multiplication, division, reciprocals

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B.136 Word Problems

Translate the problem into an equation and solve

New node

New node

Guide: Step by Step

1.) Locate your variable you will need to isolate/solve for/get by itself.2.) List the mathematical operation that are being performed on the variable.(what is happening to your variable?)3.) Undo operation adding/subtracting/multiplying/dividing by using the inverse operation(what do you need to do to undo what is happening to your variable?)4.) Check to make sure your variable is isolated/alone and equal to a value.(Does your variable equal something?6.)Check your solution by plugging in your value for your variable back into the original solution.(Do you have an equivalent equation?)(Reflexive property)

Practice: Worksheet

B.137 Why do I need to know this?

B.138 Essential questions

How does inverse operatins help us solve one-step equations

How do we use inverse operations to represent simpler equivalent equations?

How do we determine which step to take when solving an equation?

B.14Solving Two-Step Equations

don't forget to include decimals and negative answers, http://www.freemathvideos.com In this video series I show you how to solve two step equations. To solve two step equations we have to isolate the variable. Unlike one step equations we now have two operations to undo that are being applied to our variable. We follow the reverse order of operations by undoing subtraction and addition first and then multiplication and division. Tags: solving, solve, two, step, equation, inverse, operations, reverse, order of operations, addition, subtraction, division, how to, learn

B.141 Adding

B.1411Multiplying, B.14111 ex1, B.14112 ex 2, B.14113 ex 3, B.14114 ex 4, B.14115 ex 5

B.1412 Dividing, B.14121 ex 6, B.14122 ex 7, B.14123 ex 8, B.14124 ex 9

B.142 Subtracting

B.1421 Multiplying, B.14211 ex 10, B.14212 ex 11, B.14213 ex 12, B.14214 ex 13

B.1422 Dividing, B.14221 ex 14, B.14222 ex 15, B.14223 ex 16, B.14224 ex 17

B.144 Solving with two terms in the numerator

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B.143 Review: I don't still don't get it

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Guide: Step by step

1.) Locate your variable you will need to isolate/solve for/get by itself.2.) List the mathematical operations that are being performed on the variable3.) Undo adding and subtracting operations by using the inverse operation.4.) Undo multiplying and dividing operation by using the inverse operation.5.) Check to make sure your variable is isolated/alone and equal to a value6.)Check your solution by plugging in your value for your variable back into the original solution.

Practice: Worksheet

Essential Questions

Why do I need to know this

Q & A Forum

This will link to the forum thread for solving equations

B.11Concept Videos

http://www.freemathvideos.com In this video series I work through important definitions and processes for solving equations. When solving equations it is important to understand why and how we solve not only one step equations but literal and multi step equations. Understanding definitions and processes will help you apply the same rules from simple to hard problems. Tags: definition, concept, process, equation, solve, reverse, operations, inverse, equality, addition

B.1111 What is an equation

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B.1113 What are equivalent equations?

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B.1115 What does it mean when an equation is an identity?

B.1116 What does it mean when an equation has no solution?

B.1117 What does it mean when an equation as infinite many solutions?

B.1117 What does it mean to use inverse operations?

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B.1114 What are the reverse order of operations?

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B.1116 What does it mean to isolate the variable?

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B.1114 What is the Addition Property of equality

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B.1115 What is the Subtraction property of equality

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What is the Division Property of Equality

What is the Mulitplication Property of Equality

What is the Reflexive Property

What is the Symmetric Property

What is the Associative Property

What is the Transitive Property

B.1118 What is an literal equation?

What does it mean to isolate the variable

B.17Solving Literal Equations and Formulas

http://www.freemathvideos.com In this video series i show you how to solve literal equations. Literal equations are equations with two or more variables that are not the same. When solving literal equations we will apply the same processes as solving equations with one variable. Tags: literal, solving, solve, equation, how to, learn, variable, unknown, expression

B.171 Slope intercept form

y and x on the same sidey and number on the same sidey multiplied/divided

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B.174 Rewriting general equations

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Rewriting an equation of variables

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Rewriting a Formulas

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Guide

Review

Practice

Essential quesions

How can we use symbols to represent algebraic equations that we solve for a solution?

How can we use proportional relationships to allow us to solve equations?

Introduction

B.18ABS Equations

Evaluating ABS Expressions

Graphing ABS

Solving one-step ABS Equations

Solving two-step ABS Equations

Guide: Step by Step

Case1: the expression inside the absolute value symbol is positive or zeroCase 2: The expression inside the absolute value symbol is negative

Review: I still don't get it

Practice: Worksheet

B.15 Solving Multi-Step Equations Variable on the same side

don't forget to include decimals and negative answers http://www.freemathvideos.com in this video series I show you how to solve multi-step equations when the variable/s are on the same side. When we have multiple variables on the same side it is important to simplify using the order of operations and combine like terms. Once we have our equation in two step form we can solve by using the two step process. Tags: solving, multi-step, multistep, equation, variable, same side, combine, like terms, reverse, order of operations, distributive property, grouping terms, how to, learn

B.151 Combine Like terms

B.1511 Variables, B.15111 ex 1, B.15112 ex 2

B.1512 Numbers, B.15121

B.152 Distributive Property

Brackets as well

B.1521 Parenthesis, B.15211, B.15212 ex 2, B.15213, B.15214 ex 4, B.15215 ex 5

B.1522 Brackets and Parenthesis, B.15221 ex 1, B.15222 ex 2

B.153 Mulitple fractions

mulitply by the LCM

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B.154 Multiple decimals

Multiply the equation by 10^x where x represents the number of decimal places the smallest number is from the decimal point. recorded

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Guide: Step by Step

1.) Simplify your Equation( If you have multiple fractions multiply by the LCM) Multiple decimals multiply by a power of 10)(If there are terms you can combine, combine them)(Use Distributive Property if need be)2.)Use your inverse operations to undue the operations on your variable addition and subtraction.(undo what is preventing your variable from being by itself)3.) Use your inverse operations to undo multiplication and division(undo what is happening to your variable)4.) Check your answer

Review: I don't get it

Practice: Worksheet

B.16Solving Equations with Variables on both sides

http://www.freemathvideos.com In this video series I show to solve a multi-step equations when we have a variables on both sides of an equation. The first step when solving equations with variables on both sides of the equal sign is to get the variables on the same side. Once we have the variables on the same side we can combine like terms to have one variable to isolate. We then apply our process for solving equations. Tags: how to, solving, equations, variables, both sides, solve, equation, multi-step, multistep, combine, like terms, simplify,

B.161 Combine Like Terms

B.1611One solution, B.16111 ex1, B.16112 ex 2, B.16113 ex 3

B.1612 Infinite many solutions, B.16121

B.1613 No solutions, B.16131 ex 1, B.16132 ex 2

B.162 Grouping symbols

B.1621 On one side, B.16211 One solution, B.162111 ex 1, B.162112 ex 2, B.16212 No solution, B.162121, B.16213 Infinitely many solutions, B.162131, B.162132

B.1622 On both sides, B.16221 One Solution, B.162211, B.162212, B.16222 No solution, B.162221, B.16223 Infinite many solutions, B.16223

Guide: Step by Step

B.163Review: I still don't get it

Practice: Worksheet

Extension Word Problems

Weighted Averages

Percent Mixture Problems

Speed of one Vehicle

Speed of two Vehicles