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Grade 7:  The Learning Equation Math

22.03 Linear Equations 2

2icon.jpg (3565 bytes)

Variables and Equations

Refresher pp 52-3

Learning Outcomes:

The student will:

Understanding Linear Equations

What is a linear equation?

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Review the meaning of algebra tiles

Solving Linear Equations with Tiles

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

The "Algebra Tiles Practice" includeds question generators for various linear equations. Select "ax = b" and "x/a = b" to generate one-step multiplying/dividiing 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.

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Students should be encouraged to solve problems by looking for patterns that involve words, pictures, manipulatives, and number descriptions. These situations naturally lead to the use of variables and informal algebra in solving problems.

Solving Linear Equations with Tiles

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

The "Algebra Tiles Practice" includeds question generators for various linear equations. Select "ax = b" and "x/a = b" to generate one-step multiplying/dividiing 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.

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Algebraic Methods for Solving Linear Equations

Study the four methods for solving each type of linear equation included below:

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Use the methods you have learned to solve the equations generated in the following applets:

One-Step Linear Equation/Answer Generator

ax = b

1. Click on "show a problem".
2. Do the problem mentally.
3. Click on "show the answer".
4.  Repeat until you can do the problems easily.
Fraction: 

Decimal (nearest thousandth): 

You are welcome use this script for non-profit educational purposes.   If you use the script in your web site, please provide a link to:
Cyber School Services (http://www.accessone.com/~bbunge).

script modified for linear one-step equations

 

One-Step Linear Equation/Answer Generator

x/a = b

1. Click on "show a problem".
2. Do the problem mentally.
3. Click on "show the answer".
4. Repeat until you can do the problems easily.
You are welcome use this script for non-profit educational purposes.   If you use the script in your web site, please provide a link to:
Cyber School Services (http://www.accessone.com/~bbunge).

script modified for linear one-step equations

 

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 =

 

 

Linear Equation - move the sliders and study the graph pattern

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

 

equation, isolate, solution, variable, check, verify

"Sorry, a Java enabled browser is required for this puzzle." <>

Prerequisite Skills:

 Patterns and Relations:  Grade 7 Lesson 22.01

Patterns and Relations:  Grade 7 Lesson 22.01

 

 

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Comments to:  Jim Reed
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