Combining like terms
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Combining Like Terms. Section 1.4. Terms. Terms are separated by + and – signs in an algebraic expression (3 terms). Like Terms Unlike Terms. Like Terms. Terms that contain the same variables, with corresponding variables having the same power. Hands-On Equations.

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Combining Like Terms

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Combining like terms

Combining Like Terms

Section 1.4


Terms

Terms

  • Terms are separated by + and – signs in an algebraic expression

  • (3 terms)


Like terms unlike terms

Like Terms Unlike Terms


Like terms

Like Terms

  • Terms that contain the same variables, with corresponding variables having the same power.


Hands on equations

Hands-On Equations

  • Blue Pawn: Positive x

  • White Pawn: Negative x

  • Green Cube: Positive numbers

  • Red Cube: Negative numbers


Represent

Represent

3x+5+2x+2


Represent1

Represent

2x+3+5x-6


Represent2

Represent

-3x+1-2x-6


Represent3

Represent

4x-8-5x+2


Simplest form

Simplest Form

  • Contains no like terms and no parentheses.


Combining like terms1

Combining Like Terms

  • Application of the distributive property.


Coefficient

Coefficient

  • It is the numerical factor. The number being multiplied by the variable.

  • To combine like terms we can simply combine the coefficients of the like terms.


Simplify

Simplify:


Simplify1

Simplify:


Simplify2

Simplify:


Simplify3

Simplify:


Simplify4

Simplify:


Simplify5

Simplify:


Simplify6

Simplify:


Simplify7

Simplify:


Simplify8

Simplify:


Homework

Homework

  • Worksheet


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