Click HERE to see my final unproject (Quiz in Algebra)
Algebra is a branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set
Keywords
Variable = a letter or symbol representing a quantity (number)
Expression= an algebraic expression has many answers
= it shows a pattern
= n = 6 shows pattern of a number increased by 6.
Equation = an algebraic equation HAS ONLY ONE ANSWER
= n + 6 = 10 n=4
Situation Algebra
When you use substitution algebra, replace the variable with the value and solve.
Two Step Problem
Step 1: copy out expression
Step 2: substitute
Step 3: solve
Example(s)
a number +6 ---> n+6
3 times a number ---> 3x
3 more than a number ---> x+3
Word that means +, -, x, /
Alge Tiles
= +n (positive variable)
= +1 (positive integer)
= -n (negative variable)
= -1 (negative integer)
All equation solving is about balance
Using Addition and Subtraction = Alge Tiles
Addition
1.) x+2 = 5
2.) x+2-2 = 5
3.) x+2-2 = 5-2
Subtraction
Using Multiplication and Division
-Balance
-Isolate-Cancael using the opposite
-Balance
-Simplify
-Verify
Integer Rules
+2x+2 or 2(2)=4 (2 positive (+) signs= +)
-2x+2 or -2(2)=4 (1 negative (-) sign= -)
-2x-2 or -2(-2)=4 (2 negative (-) signs = +)
+2x-2 or +2(-2)=4 (1 negative (-) sign= -)
When you multiply or divide integers, count the negative signs.
Even amount of (-) signs gives a positive amount.
An odd amount of negative gives a negative. answer
Using Multiplication = Alge Tiles
Multiplication
Comments (1)
Anonymous said
at 7:34 pm on May 26, 2007
This is pro. What an excellent job. Congratulations.
Harbeck
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