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Grade 9:  The Learning Equation Math

22.04 Linear Equations 3

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Variables and Equations

Refresher pp 38-39

SeekAWord2ech.class Author

Prerequisite Skills:

 

Learning Outcomes      Review     Enrichment      Key Terms     Prerequisite Skills

The student will:

Algebra Tile Review

Algebra tiles have a variety of other names: algetiles, math tiles, and virtual tiles.  Algebra tiles can help you visualize equivalent algebraic expressions and/or equations.  Many of the real tiles have a positive and a negative side. The virtual algebra tiles activities will use multi-coloured positive tiles. The reverse (negative) side of each of these tiles is red. It helps to understand that negative tiles have one positive and one negative dimension.

Some algebra kits use black tiles for positive areas and red for the flip (negative) sides. Click the "Black/Red Tiles" button for additional information.

 

 

Algebra Tiles and the Distributive Property

 

 

 

What are Linear Equations?

 

Review of 1-step and 2-step Linear Equations

There are several example solutions using algebra tiles given in the "Examples".

The "Algebra Tiles Practice" includeds question generators for various linear equations. Select "a/x = b" to generate Linear Equations 3 examples. You may use the virtual tiles provided to generate a solution. The step buttons provided on the right show sample solutions as well.

Let's study how these tiles can be used to solve equations.

 

4 Methods for Solving Linear Questions

There are a variety of ways to solve linear equations.  Four methods for each type of linear equation is included below:

 

Review        Learning Outcomes       Enrichment        Key Terms        Prerequisite Skills

ax = b        x/a = b       a/x = b

Instructions for using this page:

  • Click to randomly create a one-step, first degree multiplication or division equation problem.
  • Enter your solution in the box (to nearest thousandth).
  • Click .
Enter your solution : x =

x =

Score so far :    out of      .        Percentage =

 

a/x = b        a/x = c/d

Enter an equation along with the variable you wish to solve it for and click

A sample has been entered for you.  Get additional examples by clicking .

Solve   for 

 

Linear Equation Solver

This equation solving applet will allow you to enter your own equation and complete the steps to solve it.

You must use the form of   x/a = c/b  rather than   a/x = b/c

Be patient.  The applet will take a few moments to load.

 

   

 

Several internet sites provide algebraic models to help you learn to solve equations.  Launch the following site, and enter expressions on either side of the "=" sign below "TYPE YOUR PROBLEM".   Enter the variable you are solving for below "TYPE THE VARIABLE TO SOLVE FOR".  Click "SOLVE".

Algebra examples: Chapter 3.5

Graph Applet

 

Enrichment        Learning Outcomes       Review        Key Terms        Prerequisite Skills

 

What are Linear Equations?

                

 

 

Algebra examples: Chapter 3.5

Graph Applet

The Cartesian plane was introduced to mathematics by René Decartes (1596-1650).

Linear Equation - move the sliders and study the graph pattern

 

 

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