Podcast
Questions and Answers
What is a variable?
What is a variable?
What is a coefficient?
What is a coefficient?
The number that is multiplied by the variable in an algebraic expression.
Define an algebraic expression.
Define an algebraic expression.
An expression that has one or more variables.
What is a constant?
What is a constant?
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What does it mean to evaluate an expression?
What does it mean to evaluate an expression?
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What does it mean to substitute in algebra?
What does it mean to substitute in algebra?
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What is absolute value?
What is absolute value?
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Define integers.
Define integers.
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What is an equation?
What is an equation?
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What is an inequality?
What is an inequality?
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What are inverse operations?
What are inverse operations?
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What are opposites in mathematics?
What are opposites in mathematics?
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The absolute value of -5 is ___
The absolute value of -5 is ___
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An example of a constant is ___
An example of a constant is ___
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An example of an equation is ___
An example of an equation is ___
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An example of an inequality is ___
An example of an inequality is ___
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An example of an integer is ___
An example of an integer is ___
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An example of an inverse operation is ___
An example of an inverse operation is ___
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Match the following terms with their definitions:
Match the following terms with their definitions:
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Study Notes
Vocabulary in Algebra
- Variable: A letter that symbolizes a value that can change, essential for forming algebraic expressions.
- Coefficient: The numerical factor multiplied with a variable in an expression, crucial for determining the expression's value.
- Algebraic Expression: Composed of one or more variables, it represents mathematical relationships without an equality sign.
- Constant: A fixed value that remains unchanged in calculations, such as 3, 0, or -1.
Mathematical Operations and Concepts
- Evaluate: The process of calculating the numerical value of an expression, either algebraic or numerical.
- Substitute: The method of replacing a variable within an expression with a specific number or another expression to simplify or solve it.
- Absolute Value: Represents the distance of a number from zero on a number line, always a non-negative number; for instance, |-5| = 5.
Types of Numbers
- Integers: The set of whole numbers, including positive numbers, negative numbers, and zero, such as -3, -2, -1, 0, 1, 2, 3.
Equations and Inequalities
- Equation: A mathematical statement that equates two expressions, using an equal sign; for example, x + 3 = 9 shows equality between two values.
- Inequality: A comparison of two quantities using inequality symbols (<, ≤, ≥), indicating that one quantity is greater or less than another, such as 5 < 8.
Operations and Their Relationships
- Inverse Operation: Operations that reverse each other; addition and subtraction are inverses, as are multiplication and division; they are fundamental in solving equations.
- Opposites: Two numbers equidistant from zero on the number line, found on opposite sides; for example, 5 and -5 are opposites (additive inverses).
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Description
Test your knowledge on key concepts in evaluating algebraic expressions with these flashcards. Each card covers fundamental terms including variables, coefficients, and constants, providing definitions to enhance your understanding of algebra. Perfect for students looking to solidify their algebra skills.
