Questions and Answers
What is a constant in algebra?
What is an algebraic expression?
A mathematical phrase that can contain numbers, variables, and operators.
In the equation 'x + 5 = 9', the number 5 is a variable.
False
What are the quantities in a ratio, series, or mathematical expression called?
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The relation between two expressions that are not equal is called an __________.
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What is the order of operations?
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What does a coefficient represent in mathematics?
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Define a variable in the context of mathematics.
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Study Notes
Key Concepts in algebra
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Constant
- Represents a fixed value within a mathematical equation.
- In the equation "x + 5 = 9," both 5 and 9 are constants.
- Often represented by letters such as a, b, or c when indicating a fixed numerical value.
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Term
- Refers to individual quantities found in ratios, series, or mathematical expressions.
- Each term can be a number or a variable, contributing to the overall equation or expression.
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Algebraic Expression
- Composed of numbers, variables (e.g., x, y), and mathematical operators (addition, subtraction, multiplication, division).
- Represents a mathematical phrase that does not include an equality sign.
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Order of Operations
- A specific sequence for solving equations to maintain consistency in calculations.
- The acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) is often used as a guide.
- Can be applied universally across mathematics, science, technology, and programming languages.
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Inequality
- Describes the relationship between two expressions that are not equal, using symbols like ≠ (not equal), > (greater than), and < (less than).
- Example: The statement "5 ≠ 1" indicates that 5 is not equal to 1.
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Coefficient
- A numerical factor multiplied with a variable in an algebraic expression.
- Example: In the term "4x," the number 4 is the coefficient and x is the variable.
- Example: In "6n," the coefficient is 6 and n is the variable.
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Variable
- A symbol representing a quantity that can change or vary in the context of a mathematical problem or experiment.
- Commonly used variables include letters like x, y, and z in algebraic expressions.
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Description
Explore essential definitions in Algebra with these flashcards focusing on constants and algebraic expressions. Perfect for students seeking to deepen their understanding of mathematical terminology and concepts. Each card features a key term and its precise definition.
