Domain 2: Algebra

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What is an algebraic expression?

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An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 5 is an algebraic expression.

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Define a variable in algebra.

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A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is the variable.

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What is the difference between an equation and an expression?

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An equation is a statement that two expressions are equal, indicated by the '=' sign. An expression does not have an '=' sign.

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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(s) of the variable(s) that make the equation true.

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What is the distributive property?

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The distributive property states that a(b + c) = ab + ac. It allows you to multiply a single term by two or more terms inside a parenthesis.

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What is a linear equation?

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A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form y = mx + b.

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What is the slope of a line?

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The slope of a line is a measure of its steepness, calculated as the rise over run (change in y over change in x). It is often represented by 'm' in the equation of a line.

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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. It can be represented as f(x), where 'x' is the input.

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What is the difference between a function and a relation?

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A function is a specific type of relation where each input has exactly one output, while a relation can have multiple outputs for a single input.

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What is a quadratic equation?

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A quadratic equation is a second-degree polynomial equation in the form ax² + bx + c = 0, where a, b, and c are constants.