Podcast
Questions and Answers
What is algebra?
What is algebra?
- A method for solving equations
- A type of geometry
- Numbers, symbols, and letters (correct)
- Only variables and constants
What is a variable?
What is a variable?
An unknown amount represented with a pronumeral (letter)
Define coefficient.
Define coefficient.
A number in front of a pronumeral
What is a pronumeral?
What is a pronumeral?
Define expression in algebra.
Define expression in algebra.
What is a constant?
What is a constant?
Define equation.
Define equation.
What is a term in algebra?
What is a term in algebra?
What does it mean to expand an expression?
What does it mean to expand an expression?
Define factorise.
Define factorise.
What is the highest common factor?
What is the highest common factor?
What does it mean to simplify an expression?
What does it mean to simplify an expression?
What does it mean to solve in mathematics?
What does it mean to solve in mathematics?
Define substitute in mathematics.
Define substitute in mathematics.
Flashcards
What is an algebraic expression?
What is an algebraic expression?
A mathematical statement made up of terms that are added or subtracted, e.g., 2y-4x
What is a coefficient?
What is a coefficient?
A number in front of a pronumeral
What is a pronumeral?
What is a pronumeral?
A letter that stands in place of a number
What is a constant?
What is a constant?
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What is an equation?
What is an equation?
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What is a term in algebra?
What is a term in algebra?
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What does it mean to expand an expression?
What does it mean to expand an expression?
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What does it mean to factorise an expression?
What does it mean to factorise an expression?
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What is the highest common factor?
What is the highest common factor?
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What does it mean to solve in mathematics?
What does it mean to solve in mathematics?
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What does it mean to substitute in mathematics?
What does it mean to substitute in mathematics?
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Study Notes
Algebra Basics
- Algebra combines numbers, symbols, and letters to represent mathematical relationships and problems.
- Variables signify unknown amounts and are typically represented by letters (pronumerals).
Core Terms
- A coefficient is a numerical factor that precedes and multiplies a variable in an expression.
- Pronumerals represent values in equations and expressions, acting as placeholders for unknown quantities.
Types of Mathematical Expressions
- An expression consists of terms linked by addition or subtraction, such as 2y - 4x.
- Constants are fixed values that do not change and do not include pronumerals.
- Equations are formed by equating two mathematical expressions with an equal sign.
Components of Algebraic Expressions
- Terms can be solitary numbers (e.g., 7) or combinations of numbers and variables (e.g., 3x, 2y).
- Simplifying ensures expressions are presented in their most compact form without changing their value.
Algebra Operations
- To expand is to increase the size of an expression; this means to distribute and eliminate parentheses.
- Factorising is the reverse of expanding, involving extracting a common factor from terms and rewriting the expression using brackets.
Common Mathematical Concepts
- The highest common factor (HCF) is the largest number that can divide two or more numbers without leaving a remainder.
- Solving a problem involves finding an answer or determining the value of an unknown variable.
- Substituting refers to the process of replacing one term or variable with another to simplify or solve an expression.
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Description
Test your knowledge of key algebra concepts with these flashcards. This quiz covers essential definitions such as algebra, variable, coefficient, pronumeral, and expression. Hone your understanding and prepare for more advanced topics in algebra!
