Evaluating Expressions

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 given numbers.

Front

What is the order of operations in mathematics?

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 abbreviated as PEMDAS.

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 variable in an expression?

Back

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

Front

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

Back

Substituting a value means replacing a variable in an expression with a specific number.

Front

What is the value of x^2 when x = 5?

Back

25

Front

What is the value of 3y + 4 when y = 2?

Back

10

Front

What is the first step in evaluating the expression 4 + 2 * 3?

Back

Multiplication (2 * 3 = 6), then addition (4 + 6 = 10).

Front

What is the result of -7w^2 + 2w when w = -3?

Back

-63 + -6 = -69.