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Questions and Answers
What is algebra?
What is algebra?
- A method of counting
- A branch of mathematics that involves expressions with variables (correct)
- A form of geometry
- A type of arithmetic
What is an algebraic expression?
What is an algebraic expression?
An expression that contains at least one variable
What are algebraic fractions?
What are algebraic fractions?
Fractions containing variables
Methods of solving algebraic expressions include removing brackets, expanding brackets, and ______.
Methods of solving algebraic expressions include removing brackets, expanding brackets, and ______.
What does removing brackets mean in algebra?
What does removing brackets mean in algebra?
What is expanding brackets?
What is expanding brackets?
What is the factorisation method by common factors?
What is the factorisation method by common factors?
What is factorisation by grouping terms?
What is factorisation by grouping terms?
What is the process of adding and subtracting algebraic fractions?
What is the process of adding and subtracting algebraic fractions?
What does factorising an algebraic expression mean?
What does factorising an algebraic expression mean?
Flashcards
Algebraic Expression
Algebraic Expression
An expression containing at least one variable.
Algebraic Fraction
Algebraic Fraction
A fraction containing variables.
Removing Brackets
Removing Brackets
Expanding the expression inside the brackets.
Expanding Brackets
Expanding Brackets
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Factorization (Common Factors)
Factorization (Common Factors)
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Factorization (Grouping)
Factorization (Grouping)
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Adding/Subtracting Algebraic Fractions
Adding/Subtracting Algebraic Fractions
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Factorization
Factorization
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Algebra
Algebra
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Solving Algebraic Expressions
Solving Algebraic Expressions
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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.
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