Algebra

1
Algebra
2

• Algebra is a part of mathematics that uses
• letters or symbols to represent changing or
• unknown values.

3
Variable

• Variable
• a letter used to represent a value that can
  change or vary
• in 4x 1, the letter x is a variable
• Identify the variable
• 2x 3y -2x2 6a

4
Term

• Term
• a number and a variable together or just a number
• Examples 4x 7 -3y 17w2 v
• Give three other examples of a term

5
Numerical Coefficient

• Numerical Coefficient
• The number in front of the variable.
• If no number is visible it is assumed to be 1.
• Examples 5x has a numerical coefficient of 5
• -3xyz has a numerical coefficient of -3
• z has a numerical coefficient of 1.
• What is the numerical coefficient of
• 2y -63f w -t

6
Literal Coefficient

• Literal Coefficient
• The non-numeric factor of a term
• Examples in 4x the literal coefficient is x
• in 3x2, the literal coefficient is x2
• What is the literal coefficient of
• 3y -8u 6ab 7x2y3z4

7
Expression

• Expression
• Numbers and variables (terms), combined by
  operations
• Examples 2x 3 two terms
• x - y z three terms
• x - yz two terms
• How many terms are in the following?
• 3x 7 4x 5t 2 6d 7x2 3

8
Alge-Tiles

• -1
• x - x
• x2 - x2

9

• We can represent a term or an expression
• by drawing the number of tiles the term or
• expression indicates
• 3x means 3 groups of x
• 2x2 means 2 x2 tiles

10

• -4 means 4 negative ones
• 5x 2
• 3x2 6x 3

11
Making Zero

• Similar to integers, the positive and negative
  Alge-Tiles combine to make zero.
• Examples

12
What expressions are represented by the following
groups of tiles?

• 1)
• 2)
• 3)

13

• 4)
• 5)
• 6)
• 7)

14

• 8)
• 9)
• 10)
• 11)

15

• Draw tiles to represent the following
  expressions
• 5x 2 2) -6x 4
• 3) 4x2 3x 6 4) -7x2 5x 6
• 5) -2x2 3x 11 6) 8x2 6x 9
• 7) -3x 4x 8) -5x 12x
• 9) 10x2 6x2 10) 5x 3x
• 11) -3x2 4x2 12) -3x 5x

16

• 5x 2 2) -6x 4
• 3) 4x2 3x 6 4) -7x2 5x 6
• 5) -2x2 3x 11 6) 8x2 6x 9

17

• 7) -3x 4x 8) -5x 12x
• 9) 10x2 6x2 10) 5x 3x
• 11) -3x2 4x2 12) -3x 5x