TO START: 10 POINTS

549)32(3 y

593)24(2 nn

CHAPTER 7: SOLVING EQUATIONS AND INEQUALITIES

Section 7.3: Solving Multi-step Equations with Fractions and Decimals

SOLVING MULTI-STEP EQUATIONS!!!

Remember: When the coefficient of a variable in an equation is a fraction, you multiply by the reciprocal.

SOLVING MULTI-STEP EQUATIONS!!!

Solve:

Multiply each side by the reciprocal

4

60x

125

4x

125

4x

4

5

4

5

15

SOLVING MULTI-STEP EQUATIONS!!!

Solve:

Add 6 to each side

2

84x

2263

2x

2

3

2

3

42

2263

2x

Multiply each side by the reciprocal

283

2x

SOLVING MULTI-STEP EQUATIONS-YOU TRY!!!

Solve:

Subtract 14 from each side

7

350x

211410

7 x

7

10

7

10

50

Multiply each side by the reciprocal35

10

7 x

211410

7 x

SOLVING MULTI-STEP EQUATIONS-YOU TRY!!!

Solve:

Distribute!

2

21x

363

2x

2

3

0.51 or

Multiply each side by the reciprocal

73

2x

363

2x

Add 4 to each side343

2x

2

3

HINT!!!

When you have to distribute a fraction, instead, multiply both sides by the reciprocal.

Example: 84

3

2x

2

3

2

3

124 x

YOU TRY!!!

Solve: 267

4x

4

7

4

7 267

4x Multiply both sides by

the reciprocal

2

76 x Subtract 6 from each

side

62

7x

2

12

2

7

2

5

YOU TRY AGAIN!!!

Solve: 2)2(4. a

Distributive property

28.4. a Subtract .8 from each side

2.14. a

3a

2)2(4. a

Divide each side by .4

HOMEWORK!!!!!

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