Order of Operations, Substitution, Translating Expressions

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 acronym PEMDAS helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does PEMDAS stand for?

Back

PEMDAS stands for Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction. It is the order in which operations should be performed in a mathematical expression.

Front

Evaluate: 3 + 5 × 2

Back

3 + 5 × 2 = 3 + 10 = 13 (Multiplication first, then addition).

Front

Evaluate: (4 + 6) × 2

Back

(4 + 6) × 2 = 10 × 2 = 20 (Parentheses first).

Front

What is substitution in mathematics?

Back

Substitution is the process of replacing a variable in an expression with a specific value.

Front

If x = 3, what is the value of 2x + 5?

Back

If x = 3, then 2x + 5 = 2(3) + 5 = 6 + 5 = 11.

Front

Translate the expression: '5 more than a number y'

Back

The expression is written as y + 5.

Front

Translate the expression: 'twice a number x'

Back

The expression is written as 2x.

Front

What is an expression in mathematics?

Back

An expression is a combination of numbers, variables, and operations (like addition and multiplication) that represents a value.

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 and includes an equality sign.