Here are the essential concepts you must grasp in order to answer the question correctly.
Order of Operations
The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression 8 + (a + 7), operations within the parentheses should be simplified first.
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Combining Like Terms
Combining like terms is a fundamental algebraic process that involves simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. In the expression 8 + (a + 7), the constant terms 8 and 7 can be combined to simplify the expression further, leading to a clearer result.
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Algebraic Expressions
An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not contain an equality sign. Understanding how to manipulate and simplify algebraic expressions, such as 8 + (a + 7), is crucial for solving equations and performing algebraic operations effectively.
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