B.1 Solving Equations

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

1. Q & A Forum

2. B.11Concept Videos

2.1. B.1111 What is an equation

2.2. B.1113 What are equivalent equations?

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

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

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

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

2.7. B.1114 What are the reverse order of operations?

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

2.9. B.1114 What is the Addition Property of equality

2.10. B.1115 What is the Subtraction property of equality

2.11. What is the Division Property of Equality

2.12. What is the Mulitplication Property of Equality

2.13. What is the Reflexive Property

2.14. What is the Symmetric Property

2.15. What is the Associative Property

2.16. What is the Transitive Property

2.17. B.1118 What is an literal equation?

2.18. What does it mean to isolate the variable

3. Essential quesions

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

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

4. Introduction

5. Extension Word Problems

5.1. Weighted Averages

5.2. Percent Mixture Problems

5.3. Speed of one Vehicle

5.4. Speed of two Vehicles

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

7. B.12Translating

7.1. Writing Expressions

7.1.1. Translating sentences to expressions

7.1.2. Translating expressions into sentences

7.2. Writing Equations

7.2.1. Translating sentences to equations

7.2.2. Translating equations into sentences

7.3. Review: Step by Step

7.4. Practice:

7.5. I still don't get it

7.6. Why do I need to know this?

8. B.13Solving One-Step Equations

8.1. B.131 Addition

8.1.1. B.1311 ex 1

8.1.2. B.1312 ex 2

8.1.3. B.1313 ex 3

8.1.4. B.1314 ex 4

8.1.5. B.1315 ex 5

8.2. B.132 Subtraction

8.2.1. B.1321 ex 1

8.2.2. B.1322 ex 2

8.2.3. B.1323 ex 3

8.2.4. B.1324 ex 4

8.2.5. B.1325 ex 5

8.3. B.133 Multiplication

8.3.1. B.1331 ex 1

8.3.2. B.1332 ex 2

8.3.3. B.1333 ex 3

8.3.4. B.1334 ex 4

8.3.5. B.1335 ex 5

8.3.6. B.1336 ex 6

8.4. B.134 Division

8.4.1. B.1341 ex 1

8.4.2. B.1342 ex 2

8.4.3. B.1343 ex 3

8.4.4. B.1344 ex 4

8.5. B.135 Reciprocals

8.5.1. B.1351 ex 1

8.5.2. B.1352 ex 2

8.5.3. B.1353 ex 3

8.6. B.136 Word Problems

8.6.1. New node

8.6.2. New node

8.7. Guide: Step by Step

8.8. Practice: Worksheet

8.9. B.137 Why do I need to know this?

8.10. B.138 Essential questions

8.10.1. How does inverse operatins help us solve one-step equations

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

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

9. B.14Solving Two-Step Equations

9.1. B.141 Adding

9.1.1. B.1411Multiplying

9.1.1.1. B.14111 ex1

9.1.1.2. B.14112 ex 2

9.1.1.3. B.14113 ex 3

9.1.1.4. B.14114 ex 4

9.1.1.5. B.14115 ex 5

9.1.2. B.1412 Dividing

9.1.2.1. B.14121 ex 6

9.1.2.2. B.14122 ex 7

9.1.2.3. B.14123 ex 8

9.1.2.4. B.14124 ex 9

9.2. B.142 Subtracting

9.2.1. B.1421 Multiplying

9.2.1.1. B.14211 ex 10

9.2.1.2. B.14212 ex 11

9.2.1.3. B.14213 ex 12

9.2.1.4. B.14214 ex 13

9.2.2. B.1422 Dividing

9.2.2.1. B.14221 ex 14

9.2.2.2. B.14222 ex 15

9.2.2.3. B.14223 ex 16

9.2.2.4. B.14224 ex 17

9.3. B.144 Solving with two terms in the numerator

9.3.1. B.1441 ex 1

9.3.2. B.1442 ex 2

9.3.3. B.1443 ex 3

9.3.4. B.1444 ex 4

9.3.5. B.1445 ex 5

9.3.6. B.1446 ex 6

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

9.5. Guide: Step by step

9.6. Practice: Worksheet

9.7. Essential Questions

9.8. Why do I need to know this

10. B.17Solving Literal Equations and Formulas

10.1. B.171 Slope intercept form

10.1.1. B.1711

10.1.2. B.1712

10.1.3. B.1713

10.1.4. B.1714

10.2. B.174 Rewriting general equations

10.2.1. B.1741

10.2.2. B.1742

10.2.3. B.1743

10.3. Rewriting an equation of variables

10.3.1. B.1721

10.3.2. B.1722

10.3.3. B.1723

10.3.4. B.1724

10.3.5. B.1725

10.3.6. B.1726 ratioanl

10.4. Rewriting a Formulas

10.4.1. B.1731

10.4.2. B.1732

10.4.3. B.1733 perimeter

10.5. Guide

10.6. Review

10.7. Practice

11. B.18ABS Equations

11.1. Evaluating ABS Expressions

11.2. Graphing ABS

11.3. Solving one-step ABS Equations

11.4. Solving two-step ABS Equations

11.5. Guide: Step by Step

11.6. Review: I still don't get it

11.7. Practice: Worksheet

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

12.1. B.151 Combine Like terms

12.1.1. B.1511 Variables

12.1.1.1. B.15111 ex 1

12.1.1.2. B.15112 ex 2

12.1.2. B.1512 Numbers

12.1.2.1. B.15121

12.2. B.152 Distributive Property

12.2.1. B.1521 Parenthesis

12.2.1.1. B.15211

12.2.1.2. B.15212 ex 2

12.2.1.3. B.15213

12.2.1.4. B.15214 ex 4

12.2.1.5. B.15215 ex 5

12.2.2. B.1522 Brackets and Parenthesis

12.2.2.1. B.15221 ex 1

12.2.2.2. B.15222 ex 2

12.3. B.153 Mulitple fractions

12.3.1. B.1531 ex 1

12.3.2. B.1532 ex 2

12.3.3. B.1533 ex 3

12.3.4. B.1534 ex 4

12.4. B.154 Multiple decimals

12.4.1. B.1541 ex 1

12.4.2. B.1542 ex 2

12.4.3. B.1543 ex 3

12.5. Guide: Step by Step

12.6. Review: I don't get it

12.7. Practice: Worksheet

13. B.16Solving Equations with Variables on both sides

13.1. B.161 Combine Like Terms

13.1.1. B.1611One solution

13.1.1.1. B.16111 ex1

13.1.1.2. B.16112 ex 2

13.1.1.3. B.16113 ex 3

13.1.2. B.1612 Infinite many solutions

13.1.2.1. B.16121

13.1.3. B.1613 No solutions

13.1.3.1. B.16131 ex 1

13.1.3.2. B.16132 ex 2

13.2. B.162 Grouping symbols

13.2.1. B.1621 On one side

13.2.1.1. B.16211 One solution

13.2.1.1.1. B.162111 ex 1

13.2.1.1.2. B.162112 ex 2

13.2.1.2. B.16212 No solution

13.2.1.2.1. B.162121

13.2.1.3. B.16213 Infinitely many solutions

13.2.1.3.1. B.162131

13.2.1.3.2. B.162132

13.2.2. B.1622 On both sides

13.2.2.1. B.16221 One Solution

13.2.2.1.1. B.162211

13.2.2.1.2. B.162212

13.2.2.2. B.16222 No solution

13.2.2.2.1. B.162221

13.2.2.3. B.16223 Infinite many solutions

13.2.2.3.1. B.16223

13.3. Guide: Step by Step

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

13.5. Practice: Worksheet