Algebraic Expansion: An algebraic process that involves multiplying each term inside a set of brackets by the term outside the brackets, resulting in an expression without parentheses. It transforms a product of factors into a sum or difference of terms, making the expression easier to manipulate or evaluate.
Like Terms: Terms within an algebraic expression that share the same variable(s) raised to the same power(s). They can be combined through addition or subtraction of their coefficients, simplifying the expression without changing its value.
Factorisation: The process of rewriting an algebraic expression as a product of its factors. It involves identifying common factors among terms or applying special product formulas, such as the difference of squares, to break down complex expressions into simpler components.
Simplification of Expressions: The process of reducing an algebraic expression to its most concise form by expanding, combining like terms, and factorising as necessary. The goal is to make the expression easier to work with, interpret, or evaluate.
1. What is the effect of expanding brackets on the process of simplifying algebraic expressions?
2. What is the primary purpose of probability in the context of experiments?
3. What is the defining characteristic of a recurring decimal?
Expanding brackets — process?
Multiply each term inside by the outside term.
Probability — range?
Between 0 and 1, inclusive.
Expanding brackets — process?
Multiply each term inside brackets by outside
Like Terms — definition?
Terms with same variables and exponents
Factorisation — purpose?
Rewrite as product of factors
Simplify Expressions — goal?
Reduce to most concise form
It covers the core concepts of Fundamentals of Algebra, Probability, and Trigonometry, organized by topic with the key definitions, explanations and takeaways, so it's easier to learn and remember.
Read the full study guide →The practice quiz has 9 multiple-choice questions, each with an explanation. Use it to check what you know and find your gaps.
Take the quiz (9 questions) →There are 9 flashcards on Fundamentals of Algebra, Probability, and Trigonometry, with a question on the front and the answer on the back. Try to recall each answer before you flip, and let spaced repetition bring back the ones you miss.
See all 9 flashcards →Upload a PDF or paste your notes. Revizly writes a study guide, a practice quiz and flashcards in about a minute.