Order of Operations, Translating and Evaluating 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

Translate the expression: 'the product of a number and -9' (use n for the variable).

Back

-9n

Front

Back

27

Front

Translate the expression: 'the difference between twice a number and 23' (use n).

Back

2n - 23

Front

Translate the expression: 'a $42 withdrawal made from an account' (use n for the account balance).

Back

n - 42

Front

Translate the expression: 'a $10 taxi fee plus $2 per mile' (use m for miles).

Back

10 + 2m

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with specific numbers and performing the operations.

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

What is the difference between an expression and an equation?

Back

An expression is a combination of numbers, variables, and operations without an equality sign, while an equation states that two expressions are equal.

Front

What is the first step in solving an expression with parentheses?

Back

The first step is to simplify the expressions inside the parentheses.