Foundation Algebra skills - all levels
A workshop that covers all the foundational algebra skills and ideas needed for advancement. From simplifying expressions, expanding, factorising, solving, word problems etc. 16 different skills are covered in detail through videos along with a worksheet including helpful tips. Based on NCEA level 1 mathematics and up.
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Algebra skills question 1 - collecting like terms
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.
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Algebra skills question 2 - factorising common factors in terms
Find the highest common factor in all algebra terms to factorise the expression. Based on the level 1 NCEA mathematics skill level and onwards.
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Algebra skills question 3 - Expanding single brackets
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.
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Algebra skills question 4 - expanding double brackets
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.
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Algebra skills question 5 - factorising quadratics with coefficient 1
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.
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Algebra skills question 6 - factorise quadratics with coefficient not 1
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.
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Algebra skills question 7 - simplifying indices/powers
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.
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Algebra skills question 8 - simplying algebra fractions
We simplify/combine algebraic fractions by making common denominators. Based on the skill level for level 1 NCEA mathematics and onwards.
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Algebra skills question 9 - rearranging formula
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.
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Algebra skills question 10 - substituting into formula
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.
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Algebra skills question 11 - solving equations
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.
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Algebra skills question 12 - solving inequations
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.
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Algebra skills question 13 - how to solve quadratic equations
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.
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Algebra skills question 14 - solving basic exponential algebra equations
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.
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Algebra skills question 15 - simultaneous equations
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.
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Algebra skills question 16 - solving algebra word problems
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.
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Welcome-to-the-Foundation-Algebra-skills-workshop.pdf
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