Learn what algebra terms are and how to combine them by adding or subtracting. Based on the level 1 NCEA mathematics skill level and onwards.

Find the highest common factor in all algebra terms to factorise the expression. Based on the level 1 NCEA mathematics skill level and onwards.

Here we look at an algebra expression with single brackets and how to expand and simplify them. Based on the level 1 NCEA mathematics skill level and onwards.

Here we look at how to expand 2 brackets for a quadratic expression and then simplify. Based on the level 1 NCEA mathematics skill level and onwards.

Factorise algebra quadratic expressions into two brackets for expressions where the coefficient of x2 is 1. Based on the skill level for level 1 NCEA mathematics and onwards.

Factorise algebra quadratic equations into two brackets when the coefficient of x2 is not 1. We look at both a guess and check method as well as a two step factoring method. Based on the skill level for level 1 NCEA mathematics and onwards.

Learn how to simplify algebra expressions containing Powers/Indices/Exponents. We review the 3 power laws to help us do this. Based on the skill level for level 1 NCEA mathematics and onwards.

We simplify/combine algebraic fractions by making common denominators. Based on the skill level for level 1 NCEA mathematics and onwards.

We look at how rearranging formula is similar to solving algebra equations, except that we make one variable the subject but end up with an expression/equations, not an answer. Based on the skill level for level 1 NCEA mathematics and onwards.

When given an algebra equation or expression, you need to know how to handle substituting both positive and negative numbers into the equation. Based on the skill level for level 1 NCEA mathematics and onwards.

We go over how to solve a linear algebra equations by eliminating terms from one side of the equation. Based on the skill level for level 1 NCEA mathematics and onwards.

Here we look at a basic linear algebra inequation on how to deal with the inequality when solving. Based on the skill level for level 1 NCEA mathematics and onwards.

See how to solve quadratic equations by collecting all the terms to one side and making = 0. Then factorise and solve! Based on the level 1 NCEA mathematics skill level and onwards.

Find out how to solve for x in basic exponential equations by making same bases for your numbers. Based on the skill level for level 1 NCEA mathematics and onwards.

Given two equations with two unknowns, can you solve them simultaneously? Here we look at both the substitution method and elimination method for solving 2 basic simultaneous equations. Based on the skill level for level 1 NCEA mathematics and onwards.

Learn the steps to tackle a word problem by assigning a variable to the unknown value. Then create an equation from the words and solve to find the answer. Based on the skill level for level 1 NCEA mathematics and onwards.

Question 1 from the NCEA 91027 - MCAT Merit workshop. Here we look at a quadratic algebra equation that first needs rearranging and then factorising to solve.

Question 2 from the NCEA 91027 - MCAT Merit workshop. Here we look at solving an algebra equation which has the variable as a power.

Question 3 from the NCEA 91027 - MCAT Merit workshop. Here we look at a quadratic algebra equation that needs to be solved by making y=0. Once the values for x have been found we need to look at the range of values that answer the question (inequalities).

Question 4 from the NCEA 91027 - MCAT Merit workshop. Here we look at solving an algebra inequation

Question 5 from the NCEA 91027 - MCAT Merit workshop. Here we look at simplifying an algebraic fraction by taking out the highest common factor in all terms.

Question 6 from the NCEA 91027 - MCAT Merit workshop. Here we look at an algebraic fraction with quadratics in the numerator and the denominator that needs to be simplified

Question 7 from the NCEA 91027 - MCAT Merit workshop. Here we look at solving an equation with algebraic fractions either side of the equation.

Question 8 from the NCEA 91027 - MCAT Merit workshop. Here we look at 2 algebraic fractions that we want to combine into a single fraction.

Question 9 from the NCEA 91027 - MCAT Merit workshop. Here we look at solving two simultaneous equations to find the values for x and y and solve a new algebra expression

Question 10 from the NCEA 91027 - MCAT Merit workshop. Here we look at rearranging an algebra equation with many variables to change the subject.

Question 11 from the NCEA 91027 - MCAT Merit workshop. Here we look at rearranging the formula for the area of a cylinder to make r the subject.

Question 12 from the NCEA 91027 - MCAT Merit workshop. Here we look at a word problem for which we have to generate 2 algebra equations to help us solve the problem. The 2 equations need to be solved simultaneously.

Question 13 from the NCEA 91027 - MCAT Merit workshop. Here we look at a word problem with 3 different angles for which we have to generate 3 equations. These then get substituted in to make 1 equation to be solved.

Question 14 from the NCEA 91027 - MCAT Merit workshop. Here we look at generating an algebra equation for a word problem of someone thinking of a number. We use the algebra equation to find the value of their number.

Question 15 from the NCEA 91027 - MCAT Merit workshop. Here we look at a quadratic algebra equation for the area of a rectangle that needs to be solved to find the value of x

Question 1 from the NCEA 91027 - MCAT Merit workshop. Here we look at a quadratic algebra equation that arises from the area of a triangle. We use this equation to solve for the height h.

Question 17 from the NCEA 91027 - MCAT Merit workshop. Here we look at finding an algebra expression for the area of a trapezium.

Question 18 from the NCEA 91027 - MCAT Merit workshop. This question involves using algebra expressions for the sides of a shape for which you are given the Perimeter to find the value of x.

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.