Evaluating Expressions/Order of Operations

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

Evaluate 2 + 3 × 4

Back

14 (First, multiply 3 × 4 = 12, then add 2: 2 + 12 = 14).

Front

What does it mean to evaluate an expression?

Back

To evaluate an expression means to calculate its value by substituting variables with numbers and performing the operations according to the Order of Operations.

Front

Evaluate m² if m = 5

Back

25 (5² = 25).

Front

Evaluate 4 + 6 × 2 - 3

Back

11 (First, multiply 6 × 2 = 12, then add 4: 4 + 12 = 16, and finally subtract 3: 16 - 3 = 13).

Front

What is an exponent?

Back

An exponent is a number that indicates how many times to multiply the base number by itself. For example, in 3², 3 is the base and 2 is the exponent, meaning 3 × 3.

Front

Evaluate 3b - 5 if b = -2

Back

-11 (3 × -2 - 5 = -6 - 5 = -11).

Front

Evaluate 5x + 4y if x = 3 and y = 2

Back

23 (5 × 3 + 4 × 2 = 15 + 8 = 23).

Front

What is the value of 5²?

Back

25 (5 × 5 = 25).

Front

Evaluate -4x + 5 if x = -3

Back

17 (-4 × -3 + 5 = 12 + 5 = 17).