Solving Equations

Solving Equations

 

 

Solving Equations Writing

Solving Equations (form a/X= c )

Solving Equations (form aX = c )

Solving Equations by Addition and Subtraction

Solving Equations by Multiplication and Division

Solving Equations

Solving Equations (form ax + b = c )

Solving Equations (form ax + b = c ) “Including negative values”

Solving Equations with Variables on Both Sides (+)

Solving Equations with Variables on Both Sides (-,+)

Solving equations with variables on both sides 3

Solving equations with variables on both sides 4

Solving equations with variables on both sides 5

Solving equations with variables on both sides 6

aX-b_F

aX+-b

-aX-b

 

FOUR PHASES IN SOLVING A PROBLEM,
From the book: How To Solve It, George Polya, 1945

how to

(1)    Understand the problem

  • What are the data?
  • What is the unknown?
  • Is there enough information to enable you to find a solution?
  • Can you restate the problem in your own words? 

(2)    Devise a plan.

  • Do you know a related problem?
  • Look for a pattern
  • Use a model
  • Work backwards
  • Use a formula
  • Use direct reasoning

(3)    Try It

  • Carrying out your plan of the solution.
  • Can you prove that it is correct? 

(4)    Look Back

  • Examine the solution obtained.
  • Does your answer make sense?
  • Is it reasonable?
  • Can you check the result?
  • If you missed something check your plan and try the problem again.

Sequence.  Is a set of numbers in which the numbers have a prescribed order.
                       10, 15, 20, 25, …
                       10, 20, 40, 80, …

Pattern.  A design (geometric) or sequence (numeric or algebraic) that is predictable because some aspect of it repeats     

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Linear Sequences Help

Arithmetic_Seq_Rules 

Arithmetic Sequences

Arithmetic_Sequences2

Geometric Sequences

 Linear Relationships Help

Linear Relationships Writing

LR1, LR2, LR3, LR4, LR5, LR6, , LR7, LR8, LR9, LR10, LR11

Function Tables (Find Slope )

Find the slope of the line through each pair of points

Linear Equations (Create your own Word Problem)

Linear relationship representation Writing

Tables and Graphs of Linear Equations

Cartesian Plane Writing

Cartesian Plane Help

Slope of a Line (Writing)

Slope