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Example of Evaluating
To evaluate the algebraic expression when and , follow the substitution and simplification steps:
Step 1 — Substitute: Replace and with their fractional values using parentheses to get .
Step 2 — Simplify exponents: According to the order of operations, square the fraction first: . The expression is now .
Step 3 — Multiply and divide out common factors: Multiply the numerators and denominators to form a single fraction: . Write as to easily divide out the common factors of and from the numerator and denominator.
Step 4 — Simplify: After removing the common factors, remains in the numerator and in the denominator, resulting in .
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Intermediate Algebra @ OpenStax
Ch.1 Foundations - Intermediate Algebra @ OpenStax
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A logistics coordinator is using the expression 15w + 10 to calculate the shipping fee for a package, where 'w' is the weight in pounds. To 'evaluate' this expression for a 5-pound package, arrange the steps of the process in the correct order according to the mathematical definition of evaluation.
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In a professional business application, the process of 'evaluating' an algebraic expression is considered complete once a specific number has been substituted for the variable, regardless of whether the resulting numerical expression has been simplified.
In a logistics department, a coordinator uses the expression 15w + 10 to calculate shipping costs, where 'w' is the weight of a package. When the coordinator replaces the variable 'w' with the number 5 to find the cost of a specific shipment, they are performing the first step of evaluation, which is known as ________.
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A pharmacy technician is using an algebraic expression to calculate the correct medication dosage for a patient. After substituting the patient's weight for the variable in the expression, which specific set of rules must the technician use to simplify the result?
In a corporate finance department, a data analyst is assigned to 'evaluate' a cost-projection formula using a set of provided figures. According to the mathematical definition of evaluation, which of the following best describes the final result the analyst should obtain?
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