### SAT Math - How to find expression 2/3 (a² - a - 3) + 1/3 (a² + 2a + 6) is equivalent to a² ?

In this article, we will explore a SAT Math question that involves simplifying an algebraic expression: "Which of the following expressions is equivalent to 2/3 (a² - a - 3) + 1/3 (a² + 2a + 6)?" The correct answer is Option A) a². By the end of this exploration, you will have a clear understanding of how to simplify and identify equivalent expressions, improving your performance on the SAT Math section. The SAT Math section evaluates your ability to work with algebraic expressions, simplifying them and identifying equivalent forms. This skill is essential for success not only on the SAT but also in various areas of mathematics and problem-solving. Question: Simplifying an Algebraic Expression Question: Which of the following expressions is equivalent to 2/3 (a² - a - 3) + 1/3 (a² + 2a + 6)? Options: A) a² B) a² + a C) a² - a D) a² - 1 Correct Answer: Option A) a² To simplify the given expression and verify which option is equivalent, follow these steps: Step 1: Start with