Problem 18 - Elementary Algebra

Question

For the following problems, use the order of operations to find each value. $$61-22+4[3(10)+11]$$

Step-by-Step Solution

Answer

Answer: 203

Step 1: Evaluate expressions inside parentheses

First, solve the expression inside the parenthesis, which is \(3(10)\). This equals to \(30\). So, the expression becomes: $$61-22+4[30+11]$$

Step 2: Evaluate expressions inside brackets

Next, evaluate the expression inside the brackets. Add 30 and 11 to get 41. Multiply this result by 4. The expression becomes: $$61-22+4(41)$$ $$61-22+164$$

Step 3: Perform addition and subtraction operations

Now we need to perform the remaining arithmetic operations in the expression. Here we only have addition and subtraction, so we perform these operations moving from left to right: $$61-22+164 = 39+164 = 203$$ The final result is \(203\).