Solve for X

SOLVING EQUATIONSshow how to solve for “X”

03 March 2014 J. MBEDU 201246302 2

• What will we discuss?

What are the parts of an equation

What does it mean to solve an equation

How do we use inverse operations to solve

equations

How to solve simple and complex equations

Solving Equations

What are the parts of an equation?

Let’s first take a look at an equation and identify its parts

3 12 36x x

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What are the parts of an equation?

Let’s first take a look at an equation and identify its parts

3 12 36x x

Coefficient Constant

Variable

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Solving 1 Step Equations

How much does the suitcase weigh in terms of blocks?

B=Blocks S=Suitcase

Equation: 6B + S = 9B

-6B-6B

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Solving 1 Step Equations

How much does the suitcase weigh in terms of blocks?

B=Blocks S=Suitcase

Equation: 6B + S = 9B

-6B-6B

3BS =

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Solving 1 Step Equations

How much does the suitcase weigh in terms of blocks?

B=Blocks S=Suitcase

Equation: 6B + S = 9B

-6B-6B

3BS =

What is the weight of the suitcase if each block has

a weight of 2lbs. ?

S = 3 (2) = 6 lbs.

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

2113x

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:- 13

Answer:

2113x- 13

8x

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:- 13

Answer:

2113x- 13

8x

Now that we have solved the

equation, let’s check the solution:

2121

2113x

21138

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

125 y

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:+ 5

Answer:

125 y+ 5

17y

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:+ 5

Answer:

125 y+ 5

17y

Now that we have solved the

equation, let’s check the solution:

1212

125 y

12517

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

7525 W

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1 :25

7525 W25Divide by 25

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:

Step 2:

25

Answer:

7525 W25

25

75W

3W

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:

Step 2:

25

Answer:

7525 W25

25

75W

3W

Now that we have solved the

equation, let’s check the solution:

7525 W

75)3(25

7575

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

416

A

03 March 2014 J. MBEDU 201246302 19

So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1 :(16) 416

A

(16)Multiply by 16

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:

Step 2:

(16)

Answer:

416

A

(16)

)16(4A

64A

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So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

Step 1:

Step 2:

(16)

Answer:

416

A

(16)

)16(4A

64A

Now that we have solved the

equation, let’s check the

solution:

44

416

A

416

64

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More examples

X + 11 = 9 X - 37 = 52 3X = 72

-11 -11

X = -2

3 3

X = 24

1

1

20 + h = 41 17 - s = 27

37 37

52 37 - X

89X

20-20-

41 h 20

21h1717

2717

s

10 sThis is the same as -1S=10

101

10

1

s

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1 Step Equations Continued…

6X = 42

25

P = 34

6 6

1X=7

or x = 7

1

1

47

x

1

74

1

7

7

x

28x

213

s

1

213

s1321 sCross Multiply

21

3s

7

1

Multiply by the reciprocal of

2/5

2

5

4

3

2

5

5

2 p

8

151 p

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Multi Step Equations

5x 2 = x + 4Solve:

03 March 2014 J. MBEDU 201246302 25

Multi Step Equations

5x 2 = x + 4Solve:Notice that there are

variables on both sides

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Multi Step Equations

5x 2 = x + 4Solve:Notice that there are

variables on both sides

Get rid of the -2

on the left side

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Multi Step Equations

5x 2 = x + 4Solve:

5x 2 = x + 4

Notice that there are

variables on both sides

5x = x + 6

Get rid of the -2

on the left side+ 2 + 2

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Multi Step Equations

5x 2 = x + 4Solve:

5x 2 = x + 4

Notice that there are

variables on both sides

5x = x + 6

Get rid of the -2

on the left side

Simplify and

Get rid of the x

on the right side

+ 2 + 2

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Multi Step Equations

5x 2 = x + 4Solve:

5x 2 = x + 4

Notice that there are

variables on both sides

5x = x + 6

Get rid of the -2

on the left side

Simplify and5x = x + 6Get rid of the x

on the right side4x = 6

+ 2 + 2

– x– x

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Multi Step Equations

5x 2 = x + 4Solve:

5x 2 = x + 4

Notice that there are

variables on both sides

5x = x + 6

Get rid of the -2

on the left side

Simplify and5x = x + 6Get rid of the x

on the right side4x = 64 4

+ 2 + 2

– x– x

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Multi Step Equations

5x 2 = x + 4Solve:

5x 2 = x + 4

Notice that there are

variables on both sides

5x = x + 6

Get rid of the -2

on the left side

Simplify and5x = x + 6Get rid of the x

on the right side4x = 64 4

23x =

Final Answer

+ 2 + 2

– x– x

03 March 2014J. MBEDU 201246302

32

More examples

No Clarifications but following

same methods as all previous

above Examples

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3(b+2) +2b = 21

3b+6 +2b = 21

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3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

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3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

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3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

5b = 15

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3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

5b = 15

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3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

5b = 15

Therefore b = 3

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The End

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Email: Jay.mbedu@gmail.com

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Acknowledgements

03 March 2014 J. MBEDU 201246302 42

http://www.slideshare.net/entranceisolutions/solving-equations-7381879

http://www.slideshare.net/tdas2002/solving-equations-5191635?v=qf1&b=&from_search=5

http://www.slideshare.net/juanahharo/equations-6980214

http://www.slideshare.net/leblance/14-solving-equations?v=qf1&b=&from_search=10

http://www.slideshare.net/VincentSo/b-ch15-solving-equations-7623182?v=qf1&b=&from_search=31