Evaluate each expression using BOMDA/PEMDAS. Indicate in each number the reason if it is unsolvable using BOMDAS/PEMDAS.

1. 4x - 10 = 14
2. 2x + 8 = 50
3. 2(x+4)
4. x² + y²
5. [tex]\frac{x}{2x^{2} +4}[/tex]

Answer:1. 4x - 10 = 14 - Solving for x: Add 10 to both sides to get 4x = 24. Then divide both sides by 4 to get x = 6.2. 2x + 8 = 50 - Solving for x: Subtract 8 from both sides to get 2x = 42. Then divide both sides by 2 to get x = 21.3. 2(x + 4) - Evaluating: Distribute 2 to both terms inside the parentheses: 2 * x + 2 * 4 = 2x + 8.4. x² + y² - Evaluating: This expression cannot be simplified further without specific values for x and y. It is already in its simplest form.5. x / 2x² + 4 - Evaluating: This expression appears to be ambiguous. If it means (x / 2x²) + 4, then: - Simplify x / 2x² to 1 / 2x (since x / x² = 1 / x), and then add 4. - If it is x / (2x² + 4), you would need to simplify the denominator first and then divide x by the result. The ambiguity in the placement of parentheses makes it necessary to clarify the intended grouping.In summary:- For expressions 1 and 2, use basic algebra to solve for x.- For expression 3, use distribution.- For expression 4, it’s already simplified unless specific values are provided.- Expression 5 needs clarification on the placement of parentheses to determine the correct approach.

Answered by writerau19 | 2024-09-04