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Solve for X

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How to Solve for X in an Equation

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Page 1: Solve for X
Page 2: Solve for X

SOLVING EQUATIONSshow how to solve for “X”

03 March 2014 J. MBEDU 201246302 2

Page 3: Solve for X

• 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

Page 4: Solve for X

What are the parts of an equation?

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

3 12 36x x

03 March 2014 J. MBEDU 201246302 4

Page 5: Solve for X

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

03 March 2014 J. MBEDU 201246302 5

Page 6: Solve for X

Solving 1 Step Equations

How much does the suitcase weigh in terms of blocks?

B=Blocks S=Suitcase

Equation: 6B + S = 9B

-6B-6B

03 March 2014 J. MBEDU 201246302 6

Page 7: Solve for X

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 =

03 March 2014 J. MBEDU 201246302 7

Page 8: Solve for X

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.

03 March 2014 J. MBEDU 201246302 8

Page 9: Solve for X

So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

2113x

03 March 2014 J. MBEDU 201246302 9

Page 10: Solve for X

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

03 March 2014 J. MBEDU 201246302 10

Page 11: Solve for X

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

03 March 2014 J. MBEDU 201246302 11

Page 12: Solve for X

So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

125 y

03 March 2014 J. MBEDU 201246302 12

Page 13: Solve for X

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

03 March 2014 J. MBEDU 201246302 13

Page 14: Solve for X

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

03 March 2014 J. MBEDU 201246302 14

Page 15: Solve for X

So how do we solve equations with

inverse operations?

Let’s take a look at a simple equation

7525 W

03 March 2014 J. MBEDU 201246302 15

Page 16: Solve for X

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

03 March 2014 J. MBEDU 201246302 16

Page 17: Solve for X

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

03 March 2014 J. MBEDU 201246302 17

Page 18: Solve for X

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

03 March 2014 J. MBEDU 201246302 18

Page 19: Solve for X

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

Page 20: Solve for X

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

03 March 2014 J. MBEDU 201246302 20

Page 21: Solve for X

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

03 March 2014 J. MBEDU 201246302 21

Page 22: Solve for X

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

03 March 2014 J. MBEDU 201246302 22

Page 23: Solve for X

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

03 March 2014 23

Page 24: Solve for X

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

03 March 2014 24

Page 25: Solve for X

Multi Step Equations

5x 2 = x + 4Solve:

03 March 2014 J. MBEDU 201246302 25

Page 26: Solve for X

Multi Step Equations

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

variables on both sides

03 March 2014 J. MBEDU 201246302 26

Page 27: Solve for X

Multi Step Equations

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

variables on both sides

Get rid of the -2

on the left side

03 March 2014 J. MBEDU 201246302 27

Page 28: Solve for X

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

03 March 2014 J. MBEDU 201246302 28

Page 29: Solve for X

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

03 March 2014 J. MBEDU 201246302 29

Page 30: Solve for X

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

03 March 2014 J. MBEDU 201246302 30

Page 31: Solve for X

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

03 March 2014 J. MBEDU 201246302 31

Page 32: Solve for X

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

Page 33: Solve for X

More examples

No Clarifications but following

same methods as all previous

above Examples

03 March 2014 J. MBEDU 201246302 33

Page 34: Solve for X

3(b+2) +2b = 21

3b+6 +2b = 21

03 March 2014 J. MBEDU 201246302 34

Page 35: Solve for X

3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

03 March 2014 J. MBEDU 201246302 35

Page 36: Solve for X

3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

03 March 2014 J. MBEDU 201246302 36

Page 37: Solve for X

3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

5b = 15

03 March 2014 J. MBEDU 201246302 37

Page 38: Solve for X

3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

5b = 15

03 March 2014 J. MBEDU 201246302 38

Page 39: Solve for X

3(b+2) +2b = 21

3b+6 +2b = 21

5b+6 = 21

5b+6-6 = 21-6

5b = 15

Therefore b = 3

03 March 2014 J. MBEDU 201246302 39

Page 40: Solve for X

The End

03 March 2014 J. MBEDU 201246302 40

Email: [email protected]

Page 41: Solve for X

03 March 2014 J. MBEDU 201246302 41

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Page 42: Solve for X

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