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.
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 = cx + d" to
generate Linear Equations 1 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.
Other internet sites that 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".
The Cartesian
plane was introduced to mathematics by René Decartes
(1596-1650).
Linear
Equation - move the sliders and study the graph pattern
Equation Calculator
ax + b = cx + d
The "Equation Calculator"
will generate equations or allow you to enter your own.
Click "Example" to generate
an equation. The steps and solution will be
provided.
After entering an equation of the form ax + b = cx
+ d, click "Solve" to see
the steps and solution Change the coefficients and constants
and see the changes in the steps required to reach the
solution. If you choose this option make sure
you choose the appropriate variable in the drop down
menu.
