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
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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:
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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
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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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Acknowledgements
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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
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