1. Algebraic Reasoning

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What is Algebraic Reasoning?

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Algebraic reasoning involves using mathematical concepts and operations to solve problems, recognize patterns, and understand relationships between numbers.

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What does the term 'variable' mean in algebra?

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A variable is a symbol, often a letter, that represents an unknown number or value in mathematical expressions and equations.

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What is an equation?

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An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

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What does it mean to solve an equation?

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To solve an equation means to find the value of the variable that makes the equation true.

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What is a coefficient?

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A coefficient is a numerical factor that multiplies a variable in an algebraic expression.

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What is the difference between an expression and an equation?

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An expression is a combination of numbers, variables, and operations without an equality sign, while an equation includes an equality sign.

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What does 'more than' indicate in a mathematical expression?

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'More than' indicates addition; for example, 'x more than 5' means x + 5.

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What is the order of operations in mathematics?

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The order of operations is the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

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What is a function in algebra?

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A function is a relation that assigns exactly one output for each input, often represented as f(x).

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What does it mean to evaluate an expression?

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To evaluate an expression means to calculate its value by substituting numbers for variables.