Order of Operations with Absolute Value & 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

What does Absolute Value represent?

Back

Absolute Value represents the distance of a number from zero on the number line, regardless of direction. It is denoted by two vertical bars, e.g., |x|.

Front

Evaluate the expression: | -5 | + 3

Back

8

Front

What is the first step in solving the expression: 3 + 4 × 2?

Back

Multiplication (4 × 2 = 8), then Addition (3 + 8 = 11).

Front

Evaluate the expression: 5 × (2 + 3) - 4

Back

21

Front

What is the value of the expression when x = 2: x² + 3x - 5?

Back

3 (2² + 3(2) - 5 = 4 + 6 - 5 = 5).

Front

What is the value of the expression when a = 4: 2(a + 3) - 5?

Back

9 (2(4 + 3) - 5 = 2(7) - 5 = 14 - 5 = 9).

Front

Evaluate the expression: 6 - | -3 | + 2

Back

5

Front

What is the result of: 8 ÷ 2(2 + 2)?

Back

16 (First, solve the parentheses: 2 + 2 = 4, then 8 ÷ 2 × 4 = 4 × 4 = 16).

Front

What is the value of the expression when x = -2 and y = 1: x² + y² + 2xy?

Back

1 ((-2)² + (1)² + 2(-2)(1) = 4 + 1 - 4 = 1).