Order of Operations/Evaluating 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 helps remember the order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

Front

What does the Distributive Property state?

Back

The Distributive Property states that a(b + c) = ab + ac. It allows you to multiply a number by a sum by distributing the multiplication across each addend.

Front

Simplify: 3(4x + 9)

Back

12x + 27

Front

Evaluate: 2a^2 + c^2 when a = 3 and c = 5

Back

43

Front

What is the value of 40 + (72 ÷ 9) ÷ 8?

Back

41

Front

Evaluate: 2(a - 5) + 2 when a = 15

Back

22

Front

What is the result of (2 + 7 - 1) ÷ 2^2?

Back

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 + 5 is an algebraic expression.

Front

What is a variable in algebra?

Back

A variable is a symbol, often a letter, that represents one or more numbers. For example, in the expression 2x + 3, 'x' is a variable.

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting the variables with given numbers.