Evelyn's work is incorrect. Let's evaluate the expression step by step, following the correct order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division from left to right, Addition and Subtraction from left to right).

The expression is:
$4 + \frac{30}{5} \times 2$

1. Step 1: Perform the division first. $30 \div 5 = 6$ So the expression becomes: $4 + 6 \times 2$

2. Step 2: Perform the multiplication next. $6 \times 2 = 12$ Now the expression is: $4 + 12$

3. Step 3: Finally, perform the addition. $4 + 12 = 16$

The correct answer is 16, not 7. Evelyn's mistake occurred in Step 1, where she incorrectly divided 30 by 10 instead of 5.

Would you like more details or have any questions?

Here are 5 related questions for practice:

1. What is the value of $8 + 24 \div 4 \times 3$?
2. How does the order of operations affect the expression $10 - 2 \times 5 + 3$?
3. If you change the expression to $4 + (30 \div 5) \times 2$, what is the result?
4. What is the correct result for $15 \div 3 \times 4 + 7$?
5. How would the expression $4 \times 2 + 30 \div 5$ be evaluated?

Tip: Always remember to follow the order of operations (PEMDAS/BODMAS) to avoid mistakes like this.