What is Algebra about? Quick Education
Welcome message from author
This document is posted to help you gain knowledge. Please leave a comment to let me know what you think about it! Share it to your friends and learn new things together.
Transcript
What is Algebra about?
Quick Education
5 + 2 = ?Which one is true?
5 + 2 = 65 + 2 = 75 + 2 = 8
5 + 2 = ?
5 + 2 = 65 + 2 = 75 + 2 = 8
5 + ? = 7Which one is true?
5 + 1 = 75 + 2 = 75 + 3 = 7
5 + ? = 7
5 + 1 = 75 + 2 = 75 + 3 = 7
5 + x = 7Which one is true?
5 + 1 = 75 + 2 = 75 + 3 = 7
5 + x = 7
5 + 1 = 75 + 2 = 75 + 3 = 7
x + 2 = 7Which one is true?
4 + 2 = 75 + 2 = 76 + 2 = 7
x + 2 = 7
4 + 2 = 75 + 2 = 76 + 2 = 7
x + 2 = 7What is x?
x + 2 = 7X = 5
5 + x = 7What is x?
5 + x = 7X = 2
5 + 2 = xWhat is x?
5 + 2 = xX = 7
5 + x = 7This is algebra. Why?
5 + x = 7It’s because of the x.
5 + x = 7What do you think x is called?
Guess…
XX is called the variable
XX is also called the unknown. Why?
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:
48 - x = 45What is x?
48 - x = 45X = 3
48 – x = 45X = 3 Because 48 – 3 = 45
100 + x = 125What is x?
100 + x = 125X = 25
100 + x = 125X = 25 Because 100 + 25 = 125
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
No because50 – 3 = 47It must equal 45
49 – 3 = 45Is this true?
No because49 – 3 = 46It must equal 45
48 – 3 = 45Is this true?
Yes! because
48 – 3 = 45When you try “plugging” in different numbers for x, it’s called substitution.
Reviewx - 3 = 45X 50 X = 48X 49
This () means “not equal”
Reviewx - 3 = 45X 50 X = 48X 49
This () means “is equal”
Forx + 10 = 15Which is true?X X X
Forx + 10 = 15Which is true?X X X
Forx + 10 = 15Which is true?X X X
When you find the right number for x, the problem is solved and the equation is true!
A couple more, and your done!
322 - x = 222Solve for x?
322 – x = 222X = 100
X = 100 Because 322 - 100 = 222
322 – x = 222
100 b = 25Solve for b?
100 b = 25Solve for b?
Sometimes other letters are used besides x, but mostly x is used.
100 b = 25b = 4
b = 4 Because 100 4 = 25
100 b = 25
322 – x = 222X = 100
X = 100 Because 322 - 100 = 222
322 – x = 222
10=𝑥2
Solve for x?
10=𝑥2
X = 20
10=𝑥2
X = 20
Because10=202
Algebra is all about solving for an unknown like x
Al-Khwarzmi - who founded the discipline of al-jabr
Related Documents
