Here are the essential concepts you must grasp in order to answer the question correctly.
Substitution
Substitution is the process of replacing variables in an expression with their corresponding numerical values. In this question, we substitute p, q, and r with -4, 8, and -10, respectively, to evaluate the expression. This step is crucial for simplifying the expression and obtaining a numerical result.
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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. In evaluating the expression, following this order is essential to arrive at the correct answer.
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Rational Expressions
Rational expressions are fractions that contain polynomials in the numerator and denominator. In this case, the expression q + r / q + p involves both addition and division of values. Understanding how to manipulate and simplify rational expressions is key to solving problems involving them, especially when substituting values.
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