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### Solving Mixed Operations Problems

Solving order of operations math problems involves following a specific set of rules to determine the correct sequence of operations when multiple operations are present in an expression or equation. The common acronym used to remember the order of operations is PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right). Here are the steps for solving order of operations problems, along with two examples:

Example 1: Solve the expression 5 + 3 × (7 – 2)

Step 1: Parentheses
Evaluate the expression within the parentheses first:
7 – 2 = 5

Now, the expression becomes: 5 + 3 × 5

Step 2: Multiplication
Perform multiplication from left to right:
3 × 5 = 15

Now, the expression becomes: 5 + 15

Perform addition from left to right:
5 + 15 = 20

So, the solution to the expression 5 + 3 × (7 – 2) is 20.

Example 2: Solve the expression 8 ÷ 2 + (4 – 1)²

Step 1: Parentheses
Evaluate the expression within the parentheses first:
4 – 1 = 3

Now, the expression becomes: 8 ÷ 2 + 3²

Step 2: Exponents
Calculate the exponent:
3² = 3 × 3 = 9

Now, the expression becomes: 8 ÷ 2 + 9