Writing and Evaluating Expressions

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operators (like +, -, ×, ÷) 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 numbers for variables and performing the operations.

Front

What is the order of operations?

Back

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

Front

What is a numeric expression?

Back

A numeric expression is a mathematical phrase that includes numbers and operations but does not have an equal sign.

Front

How do you solve the expression 10 + 33 - 3 ÷ 8?

Back

First, divide 3 by 8, then add 10 and 33, and finally subtract the result of the division.

Front

What is the product of two numbers?

Back

The product is the result of multiplying two numbers together.

Front

What does 'fifteen less than' mean in an expression?

Back

'Fifteen less than' means to subtract 15 from another number or expression.

Front

What is the result of the expression 18 + (6 – 2) × 2?

Back

The result is 26. First, solve the parentheses (6 - 2), then multiply by 2, and finally add 18.

Front

What is the difference between an expression and an equation?

Back

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

Front

How do you simplify the expression 50 − 16 ÷ 2 × (12 + 4)?

Back

Follow the order of operations: first solve the parentheses, then division, multiplication, and finally subtraction.