# B.1 Solving Equations

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B.1 Solving Equations

## 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

## 8. B.13Solving One-Step Equations

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

8.6.1. New node

8.6.2. New node

### 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

9.1.1. 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

## 10. B.17Solving Literal Equations and Formulas

10.1.1. B.1711

10.1.2. B.1712

10.1.3. B.1713

10.1.4. B.1714

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

## 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

## 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