Algebra I Final

Front

What is the Pythagorean Theorem?

Back

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 the FOIL method stand for in algebra?

Back

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?

Back

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.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers.

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What is an equation?

Back

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

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What is the difference between an expression and an equation?

Back

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

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What is the purpose of the Elimination Method in solving systems of equations?

Back

The Elimination Method is used to eliminate one variable by adding or subtracting equations, making it easier to solve for the remaining variable.

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What are combinations in mathematics?

Back

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)!).

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What are permutations in mathematics?

Back

Permutations refer to the arrangement of items from a larger set where the order does matter. The formula is P(n, r) = n! / (n-r)!.

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What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input from a set.