Here are the essential concepts you must grasp in order to answer the question correctly.
Absolute Value
The absolute value of a number is its distance from zero on the number line, regardless of direction. It is denoted by vertical bars, such as |x|. For example, |−4| equals 4, and |2| equals 2. Understanding absolute value is crucial for evaluating expressions that involve both positive and negative numbers.
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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. Properly applying these rules is essential for accurately evaluating complex expressions.
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Evaluating Expressions
Evaluating an expression involves substituting specific values for variables and performing the necessary calculations. In this case, substituting x = -4 and y = 2 into the expression requires careful handling of absolute values and following the order of operations. This process is fundamental in algebra for simplifying and solving equations.
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