2. BASIC ALGEBRABASIC ALGEBRA
aa × b × c = abc× b × c = abc
a + a = 2aa + a = 2a
a² × a² = a² + ² = a^4a² × a² = a² + ² = a^4
a/b + b/a = 1a/b + b/a = 1
Remember when youRemember when you
multiply any indicesmultiply any indices
you always add theyou always add the
powers.powers.
Any fraction multipliedAny fraction multiplied
by its reciprocal is equalby its reciprocal is equal
to 1to 1
3. Algebraic EquationsAlgebraic Equations
We use algebraic equation to replace normalWe use algebraic equation to replace normal
numbers especially if a number is unknownnumbers especially if a number is unknown
e.g. 2 +e.g. 2 + xx = 6= 6
TheThe xx is the unknown number and therefore it isis the unknown number and therefore it is
represented by a letter.represented by a letter.
5. Shapes on the Cartesian planeShapes on the Cartesian plane
y
x
-y
-x
6. Example 1Example 1
SentenceSentence Algebraic EquationAlgebraic Equation
A number increased by nine is fifteen.A number increased by nine is fifteen. y + 9 = 15y + 9 = 15
Twice a number is eighteen.Twice a number is eighteen. 2n = 182n = 18
Four less than a number is twenty.Four less than a number is twenty. x - 4 = 20x - 4 = 20
A number divided by six is eight.A number divided by six is eight. = 8= 8
K
6
7. SummarySummary
We use algebraic equations in more then oneWe use algebraic equations in more then one
situation.situation.
We use them to replace a unknown numberWe use them to replace a unknown number
We can use them on graphs and to solveWe can use them on graphs and to solve
graphsgraphs
Algebra is Easy as 1 2 3Algebra is Easy as 1 2 3