This type of exercise involves simplifying algebraic expressions by using the distributive property to remove parentheses and then combining similar terms. For example, an expression like 3(2x + 5) + 4x – 7 would be simplified by first distributing the 3 to both terms inside the parentheses (resulting in 6x + 15), and then combining the ‘x’ terms (6x and 4x) and the constant terms (15 and -7) to arrive at the simplified expression 10x + 8. These practice materials often present a series of problems designed to reinforce these skills.
Mastery of these skills is fundamental to algebra and higher-level mathematics. This process of simplification allows for easier manipulation of equations and expressions, making complex problems more manageable. Historically, the development of algebraic notation and methods of simplification revolutionized mathematical problem-solving, paving the way for advances in numerous fields. A strong understanding of these core concepts provides a solid foundation for future mathematical learning.
