Evaluating Expressions and Functions

Front

What is an expression in mathematics?

Back

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

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers.

Front

What is a function in mathematics?

Back

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

Front

How do you evaluate a function?

Back

To evaluate a function, substitute the input value into the function's formula and simplify.

Front

What is the order of operations?

Back

The order of operations is a set of rules that dictates the sequence in which calculations are performed: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right) - often remembered as PEMDAS.

Front

What is a variable in an expression?

Back

A variable is a symbol (usually a letter) that represents an unknown value in an expression or equation.

Front

What is the difference between an expression and an equation?

Back

An expression does not have an equality sign and represents a value, while an equation states that two expressions are equal.

Front

How do you simplify an expression?

Back

To simplify an expression, combine like terms and perform any operations according to the order of operations.

Front

What is a coefficient in an expression?

Back

A coefficient is a numerical factor that multiplies a variable in an expression.

Front

What does it mean to substitute a value into an expression?

Back

Substituting a value means replacing a variable in the expression with a specific number to evaluate it.