Lesson 7.2

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 in a mathematical expression. The order is Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right). Often remembered by the acronym PEMDAS.

Front

Simplify: 2 + 3 × 2

Back

8 (Follow the Order of Operations: first multiply 3 × 2 = 6, then add 2 + 6 = 8).

Front

What does it mean to simplify an expression?

Back

To simplify an expression means to reduce it to its simplest form by performing all possible calculations and combining like terms.

Front

Simplify: (4 + 6) × 2

Back

20 (First, calculate inside the parentheses: 4 + 6 = 10, then multiply: 10 × 2 = 20).

Front

What is a mathematical expression?

Back

A mathematical expression is a combination of numbers, variables, and operators (such as +, -, ×, ÷) that represents a value.

Front

Simplify: 10 - (3 + 2) × 2

Back

0 (First, calculate inside the parentheses: 3 + 2 = 5, then multiply: 5 × 2 = 10, finally subtract: 10 - 10 = 0).

Front

What is a variable in mathematics?

Back

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

Front

Simplify: 5 × (2 + 3) - 4

Back

21 (First, calculate inside the parentheses: 2 + 3 = 5, then multiply: 5 × 5 = 25, finally subtract: 25 - 4 = 21).

Front

What is the difference between an equation and an expression?

Back

An equation is a statement that two expressions are equal, often containing an equals sign (=). An expression is a combination of numbers and variables without an equals sign.

Front

Simplify: 12 ÷ 4 + 3 × 2

Back

9 (First, divide: 12 ÷ 4 = 3, then multiply: 3 × 2 = 6, finally add: 3 + 6 = 9).