FOA Module 1 Study Guide

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction \( \frac{a}{b} \), where \( a \) and \( b \) are integers and \( b \neq 0 \). Examples include \( \frac{1}{4} \) and \( \frac{3}{5} \).

Front

What is an irrational number?

Back

An irrational number is a number that cannot be expressed as a simple fraction. It is a non-repeating, non-terminating decimal. Examples include \( \pi \) and \( \sqrt{2} \).

Front

Simplify the expression: 3x - 15 + 2x - 4

Back

The simplified expression is \( 5x - 19 \).

Front

What is the process of simplifying an algebraic expression?

Back

Simplifying an algebraic expression involves combining like terms and performing operations to reduce the expression to its simplest form.

Front

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.

Front

Simplify the expression: 8x + 7(2 + 4x)

Back

The simplified expression is \( 36x + 14 \).

Front

What is a variable in algebra?

Back

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

Front

What does it mean to combine like terms?

Back

Combining like terms means to add or subtract terms that have the same variable raised to the same power. For example, in \( 3x + 2x \), you can combine to get \( 5x \).

Front

Simplify the expression: 2x - 7x + 10 - x

Back

The simplified expression is \( -6x + 10 \).

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (such as +, -, *, /) that represents a value.