Question 1 from the NCEA 91027 - MCAT Excellence workshop. Here we look at a inequation where the variable x is in a power.

Solve a complex algebra equation with variables in powers by making numbers with the same base

See how to first factorise quadratics in an algebraic fraction to simplify out a common bracket, then solve.

Solve a complex algebra fraction by multiplying all terms with all denominators. Then simplify and solve quadratic expressions.

Look at how to deal with a division of algebraic fractions by multiplying by the reciprocal

Express A in terms of B where A and B each have their own algebra expressions.

Learn how to express even and odd numbers as algebra expressions and use that to prove an odd number.

Use algebra to generalise finding the difference between 2 consecutive numbers in a sequence given by a quadratic algebra expression

Be familiar with expressions like 'natural number', 'squares', 'difference' to come up with algebraic equations to solve for an unknown number.

Use algebra to find and rearrange equations and change the subject in complex scenarios.

For this word problem it's important to know how to come up with the algebra equations from the words. The equations then have to be solved simultaneously, which we do by substitution in this example.

A diagram is given to assist in proving Pythagoras' theorem using algebraic expression for the area of rectangles and triangles

Find algebraic expressions for the areas of part circles in order to solve for the radius of a circle.

Use volume to create and solve a cubic algebraic equation.

Area of rectangles is used to come up with algebraic equations to solve for the width of a path.

Given a linear equation and graph, use given known coordinates to find the unknowns in a linear algebra equation. This requires simultaneous equations. In this video we will look at solving by elimination.