Questions and Answers
What is a numerical expression?
An expression that contains only numbers and operations.
What does the order of operations refer to?
PEMDAS
What is a variable?
A letter or symbol used in place of an unknown number or quantities in expressions and equations.
What is a coefficient?
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What is an algebraic expression?
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What is a term in a mathematical expression?
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What is a mathematical property?
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What is an equation?
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What is a solution in the context of equations?
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What is an inverse operation?
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What is an inequality?
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What is an ordered pair?
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What is an independent variable?
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What is a dependent variable?
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Study Notes
Numerical Expressions and Variables
- Numerical Expression: Composed solely of numbers and mathematical operations such as addition, subtraction, multiplication, and division.
- Variable: Represents unknowns in expressions and equations, typically denoted by letters or symbols.
- Coefficient: A numeric factor that multiplies a variable in algebraic expressions, influencing the term's value.
Algebraic Concepts
- Algebraic Expression: A phrase that combines at least one variable with numbers and operation symbols, depicting relationships between values.
- Term: A component of an expression that can be a single number, a variable, or a multiplication of both.
- Equation: A mathematical statement featuring an equals sign, asserting the equality of two expressions.
Mathematical Relationships and Operations
- Order of Operations: The sequence of operations to solve math expressions, summarized in the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division (left to right), Addition and Subtraction (left to right)).
- Mathematical Property: Assertions true for any values substituted for variables, crucial for solving and manipulating equations.
Solutions and Inequalities
- Solution: The specific values for a variable that satisfy an equation, making it true.
- Inequality: A comparative statement that illustrates the relationship between two quantities using symbols like <, ≤, ≥, or ≠.
Graphing and Variables
- Ordered Pair: A pair of numbers that uniquely defines a point on a Cartesian plane, written as (x, y), where x represents the horizontal axis and y the vertical axis.
- Independent Variable: The variable controlled in experiments or equations, which does not rely on other variables, often represented as x.
- Dependent Variable: Reflects the outcome of changes made to the independent variable, denoted as y, and is influenced by it.
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Test your understanding of key concepts in 6th-grade expressions and equations with these flashcards. Learn about numerical expressions, order of operations, variables, and coefficients. Perfect for reinforcing your knowledge and preparing for assessments.