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 and performing the operations.

Front

How do you evaluate the expression 6a - 3d when a = 1 and d = 2?

Back

Substituting the values: 6(1) - 3(2) = 6 - 6 = 0.

Front

What is the result of evaluating p + 3 when p = 8?

Back

Substituting the value: 8 + 3 = 11.

Front

How do you evaluate the expression 2a + 4b when a = 10 and b = 6?

Back

Substituting the values: 2(10) + 4(6) = 20 + 24 = 44.

Front

What is the value of b² + 4 when b = 3?

Back

Substituting the value: 3² + 4 = 9 + 4 = 13.

Front

How do you evaluate the expression 5m + 7 when m = 5?

Back

Substituting the value: 5(5) + 7 = 25 + 7 = 32.

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 are the common mathematical operations used in expressions?

Back

The common operations are addition (+), subtraction (-), multiplication (*), and division (/).

Front

What is the order of operations in mathematics?

Back

The order of operations is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right), often abbreviated as PEMDAS.