simple algebra tutorial
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What is Algebra about?
Quick Education
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5 + 2 = ?Which one is true?
5 + 2 = 65 + 2 = 75 + 2 = 8
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5 + 2 = ?
5 + 2 = 65 + 2 = 75 + 2 = 8
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5 + ? = 7Which one is true?
5 + 1 = 75 + 2 = 75 + 3 = 7
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5 + ? = 7
5 + 1 = 75 + 2 = 75 + 3 = 7
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5 + x = 7Which one is true?
5 + 1 = 75 + 2 = 75 + 3 = 7
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5 + x = 7
5 + 1 = 75 + 2 = 75 + 3 = 7
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x + 2 = 7Which one is true?
4 + 2 = 75 + 2 = 76 + 2 = 7
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x + 2 = 7
4 + 2 = 75 + 2 = 76 + 2 = 7
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x + 2 = 7What is x?
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x + 2 = 7X = 5
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5 + x = 7What is x?
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5 + x = 7X = 2
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5 + 2 = xWhat is x?
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5 + 2 = xX = 7
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5 + x = 7This is algebra. Why?
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5 + x = 7It’s because of the x.
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5 + x = 7What do you think x is called?
Guess…
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XX is called the variable
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XX is also called the unknown. Why?
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5 + 2 = xBecause when you first start working on a problem, you don’t know what x is until you think about it.
This one’s easy, but what about:
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48 - x = 45What is x?
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48 - x = 45X = 3
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48 – x = 45X = 3 Because 48 – 3 = 45
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100 + x = 125What is x?
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100 + x = 125X = 25
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100 + x = 125X = 25 Because 100 + 25 = 125
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X – 3 = 45One way to find x is to substitute numbers until you find the one that makes the equation true.
50 – 3 = 45Is this true?
This is an equation
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No because50 – 3 = 47It must equal 45
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49 – 3 = 45Is this true?
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No because49 – 3 = 46It must equal 45
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48 – 3 = 45Is this true?
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Yes! because
48 – 3 = 45When you try “plugging” in different numbers for x, it’s called substitution.
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Reviewx - 3 = 45X 50 X = 48X 49
This () means “not equal”
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Reviewx - 3 = 45X 50 X = 48X 49
This () means “is equal”
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Forx + 10 = 15Which is true?X X X
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Forx + 10 = 15Which is true?X X X
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Forx + 10 = 15Which is true?X X X
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When you find the right number for x, the problem is solved and the equation is true!
A couple more, and your done!
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322 - x = 222Solve for x?
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322 – x = 222X = 100
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X = 100 Because 322 - 100 = 222
322 – x = 222
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100 b = 25Solve for b?
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100 b = 25Solve for b?
Sometimes other letters are used besides x, but mostly x is used.
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100 b = 25b = 4
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b = 4 Because 100 4 = 25
100 b = 25
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322 – x = 222X = 100
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X = 100 Because 322 - 100 = 222
322 – x = 222
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10=𝑥2
Solve for x?
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10=𝑥2
X = 20
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10=𝑥2
X = 20
Because10=202
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Algebra is all about solving for an unknown like x
Al-Khwarzmi - who founded the discipline of al-jabr