Solving simultaneous equations is the concept of solving for two unknown variables within an equation. This is the basis for determining the intersection between two graphs which is used in practical contexts

Solving simultaneous equations is the concept of solving for two unknown variables within an equation. This is the basis for determining the intersection between two graphs which is used in practical contexts

A half-plane comes from an inequation. We still sketch a linear graph very similarly for half-planes, but from there ,we determine which region we need to shade...

When two linear graphs are parallel, they have the same gradient. When two linear graphs are perpendicular (at 90 degrees), if we multiply the two gradients, the result is -1. These facts allow us to carry

To find the length of a segment, we use Pythagoras' Theorem. However sometimes, we are given the length of a segment and the co-ordinates of one end. We are then expected to determine the co-ordinates

If we are given a segment, which is a piece of a linear graph, sometimes we may want to determine its midpoint...

If we are given a linear graph, we can determine the equation to make that graph. This is handy to make conclusions about data...

If we don't have gradient or y-intercept, we can sketch a graph by determining x- and y-intercepts which are done by letting y or x equal zero respectively and then solving for the other variable...

When given the gradient and y-intercept, use these to sketch the linear graph...

We solve linear inequations the same was as we solve linear equations. Just remember to flip the sign when multiplying or dividing by a negative number...

To solve linear equations, think of it as a party. Your closest friends will stick around the longest. Same goes for solving linear equations. The numbers closest to the unknown variable remain in the

We add and subtract algebraic fractions the same way as numeric fractions. There is just a little more work involved...

This is how we multiply and divide algebraic fractions. We can apply the same method to numerical fractions but there is less work involved...