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Grade 8:  The Learning Equation Math

22.03 Linear Equations (Two-Step Method)

 Variables and Equations Refresher pp 44-5
Learning Outcomes:

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.

## Solving Two-step First-degree Equations

Watch the examples in the "Introduction", then select "ax + b = c" from the "Algebra Tile Practice" section.

## 4 Methods for Solving Linear Questions

There are a variety of ways to solve linear equations.  Select the buttons below, then study the four methods displayed:

## ax + b = c

The following will create the questions and check your answers.   Complete a series of questions to check your understanding of the pattern needed to solve two-step, first degree equations.

• Click to randomly create a two-step, first degree equation problem.
• Click .
Enter your solution :     x     =

x     =

Score so far :    out of     .        Percentage =

Review:

The following will create the questions and answers.  Complete a series of questions to learn the pattern to solve two-step, first degree equations.
 Two-Step Linear Equation/Answer Generator ax + b = c 1. Click on "show a problem". 2. Do the problem mentally or on paper. 3. Click on "show the answer". 4. Use "show step 2" to help correct your work. 5. Repeat until you can do the problems easily. Fraction:  Decimal: Compliments of: Cyber School Services (http://www.accessone.com/~bbunge).

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

Linear Equation - move the sliders and study the graph pattern

Enrichment:

Key Terms:

term, variable, constant, equation, solve, solution, isolate, root, verify, Zero Property

Prerequisite Skills:

Exploring Equations:  Grade 8 Lesson 22.01

Linear Equations 1:  Grade 7 Lesson 22.02.htm

Linear Equations(One-Step Method):   Grade 8 Lesson 2202

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