Grade 7: Linear Equations 1

[ Back ] [ Up ] [ Next ] [Timeline]

Grade 7: The Learning Equation Math

22.02 Linear Equations 1

2icon.jpg (3565 bytes)

Variables and Equations

Refresher pp 50-1

Learning Outcomes:

The student will:

illustrate the solution process for a one-step, single-variable, first-degree linear equation, using a variety of methods.

Understanding Linear Equations

What is a linear equation?

return to menu

Linear Equation Manipulatives

onestep.gif (9995 bytes)

Source: Teaching Informal Algebra

One way people often think about equations is as a balance, in order to keep the balance level, we must do the same thing to both sides (the scale at right is an applet, you can move the weights on and off the balance).

source: NSU-Math 1030 Unit 3 Section 4

NSU message giving permission for me to use the applet: "The applets and images used in this course are freely available and may be downloaded and copied by anyone who would like to use them for non-commercial purposes provided credit to NSU and the author is given. Examples of the source code for the applets and CGI programs may be obtained by contacting the author."

source: NSU-Math 1030 Online Setup

return to menu

Algebra Tiles

First 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 "x + a = b" to generate one-step adding/subtracting 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.

return to menu

Algebraic Methods for Solving Linear Equations

There are a variety of ways to solve linear equations. Four methods for each type of linear equation is included below. For this lesson focus on the first two methods.

return to menu

Review:

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

Linear Equation Generator 1 The general formula for one-step first degree addition and subtraction equations can be written in two ways: x + a = b and x - a = b
		1. Click on "show a problem". 2. Do the problem mentally. 3. Click on "show related sentence". 4. Click on "show the answer". 5. 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

Linear Equation Generator 2 x + a = b a + x = b Instructions for using this page: Click to randomly create a one-step, first degree addition or subtraction equation problem. Enter your solution in the box. Click .

Enter your solution :	x =
	x =
Score so far : out of . Percentage = Source: Practice on solving equations