Questions and Answers
What is algebra?
What is an algebraic expression?
An expression that contains at least one variable
What are algebraic fractions?
Fractions containing variables
Methods of solving algebraic expressions include removing brackets, expanding brackets, and ______.
Signup and view all the answers
What does removing brackets mean in algebra?
Signup and view all the answers
What is expanding brackets?
Signup and view all the answers
What is the factorisation method by common factors?
Signup and view all the answers
What is factorisation by grouping terms?
Signup and view all the answers
What is the process of adding and subtracting algebraic fractions?
Signup and view all the answers
What does factorising an algebraic expression mean?
Signup and view all the answers
Study Notes
Algebra Concepts
- Algebra: Focuses on expressions involving variables, allowing for the formulation of equations and relationships.
- Algebraic Expression: Contains at least one variable, representing quantities and relationships.
- Algebraic Fractions: Fractions that incorporate variables; for example, x/y represents a variable ratio.
Methods for Solving Algebraic Expressions
- Removing Brackets: Involves distributing a coefficient across terms in parentheses. For instance, 3(a + b - 2) simplifies to 3a + 3b - 6.
- Expanding Brackets: Multiply each term in one bracket by each term in the other, such as (p + q)(r + s) = pr + qr + ps + qs.
-
Factorisation: Involves expressing an expression as a product of its factors, using methods such as:
- Common Factors: For example, in 8p - 20q, the common factor 4 yields 4(2p - 5q).
- Grouping Terms: Rearranging terms to highlight common factors, e.g., 3x - 2dy + 3y - 2dx can be factored as (x + y)(3 - 2d).
Operations with Algebraic Fractions
- Adding and Subtracting Algebraic Fractions: Requires expressing fractions with a common denominator before performing operations, similar to standard arithmetic fractions.
Factorising Algebraic Expressions
- Factorisation: The act of rewriting an expression as a product of factors. The simplest form of factorisation seeks out common factors within an expression.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Dive into the world of algebra with this flashcard quiz designed for SS1 students. Explore key concepts including algebraic expressions and algebraic fractions to enhance your understanding of mathematical processes. Perfect for Week One of your General Mathematics lessons!
