Algebra I Final

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What is the Pythagorean Theorem?

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The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².

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What does FOIL stand for in algebra?

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FOIL is a method for multiplying two binomials. It stands for First, Outside, Inside, Last, referring to the order in which you multiply the terms.

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What is Summation Notation?

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Summation Notation is a way to represent the sum of a sequence of numbers. It uses the Greek letter sigma (Σ) to denote the sum.

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What is the Elimination Method in solving systems of equations?

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The Elimination Method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other variable.

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What are Combinations in mathematics?

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Combinations refer to the selection of items from a larger set where the order does not matter. The formula is C(n, r) = n! / (r!(n-r)!), where n is the total number of items and r is the number of items to choose.

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What is the definition of a variable in algebra?

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A variable is a symbol, often represented by letters, that stands for an unknown value in mathematical expressions or equations.

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What is a linear equation?

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A linear equation is an equation that makes a straight line when graphed. It has the form y = mx + b, where m is the slope and b is the y-intercept.

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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 operators without an equality sign, while an equation states that two expressions are equal.

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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 function in mathematics?

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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.