FOA Module 1 Study Guide

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What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a fraction of two integers. Its decimal representation is non-repeating and non-terminating. Example: √2, π.

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What is a rational number?

Back

A rational number is a number that can be expressed as a fraction of two integers, where the denominator is not zero. Example: 1/2, 3, -4.

Front

Classify the number 0.75.

Back

Rational. It can be expressed as the fraction 3/4.

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Front

What is the definition of a variable in mathematics?

Back

A variable is a symbol used to represent an unknown value in mathematical expressions or equations.

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by combining like terms and eliminating unnecessary parentheses.

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What is the distributive property?

Back

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 set of parentheses.

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What is a coefficient in an algebraic expression?

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A coefficient is a numerical factor that multiplies a variable. For example, in 4x, 4 is the coefficient.

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What is the difference between an equation and an expression?

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An equation is a mathematical statement that asserts the equality of two expressions, while an expression is a combination of numbers, variables, and operators without an equality sign.