Order of Operations and Algebraic 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 is often used: 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.

Front

Solve: 3 + 4 x 6 - 4

Back

First, perform multiplication: 4 x 6 = 24. Then, 3 + 24 - 4 = 23.

Front

Evaluate: 4 + (y + 3) + y² for y = 5

Back

Substituting y = 5: 4 + (5 + 3) + 5² = 4 + 8 + 25 = 37.

Front

Solve: 5 - 6² ÷ 4 - 3

Back

First, calculate 6² = 36. Then, 36 ÷ 4 = 9. Now, 5 - 9 - 3 = -7.

Front

Evaluate: (y + z)² when y=5 and z=2

Back

Substituting y = 5 and z = 2: (5 + 2)² = 7² = 49.

Front

Solve: (2 + 7 - 1) ÷ 2²

Back

First, calculate inside the parentheses: 2 + 7 - 1 = 8. Then, 2² = 4. Now, 8 ÷ 4 = 2.

Front

What is an algebraic expression?

Back

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. For example, 3x + 2 is an algebraic expression.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents an unknown value in an expression or equation. For example, in the expression 2x + 3, x is the variable.

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, using an equality sign.