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Ch. P - Fundamental Concepts of Algebra
Blitzer - College Algebra 8th Edition
Blitzer8th EditionCollege AlgebraISBN: 9780136970514당신이 사용하는 게 아니라요?교과서 변경
모든 교과서Blitzer 8th EditionCh. P - Fundamental Concepts of Algebra문제 13
1장, 문제 13

In Exercises 1–16, evaluate each algebraic expression for the given value or values of the variable(s). 5(x+2)/(2x-14), for x=10

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Step 1: Start by substituting the given value of x (x = 10) into the algebraic expression 5(x + 2) / (2x - 14). This gives 5(10 + 2) / (2(10) - 14).
Step 2: Simplify the numerator. Add the terms inside the parentheses: 10 + 2 = 12. The numerator becomes 5 * 12.
Step 3: Simplify the denominator. Multiply 2 by 10 to get 20, then subtract 14: 20 - 14 = 6. The denominator becomes 6.
Step 4: Rewrite the expression with the simplified numerator and denominator: (5 * 12) / 6.
Step 5: Simplify the fraction by performing the multiplication in the numerator (5 * 12) and then dividing the result by the denominator (6).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Algebraic Expressions

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. In this case, the expression 5(x+2)/(2x-14) consists of a numerator and a denominator, where 'x' is a variable that can take on different values. Understanding how to manipulate and evaluate these expressions is fundamental in algebra.
추천 영상:
05:09
Introduction to Algebraic Expressions

Substitution

Substitution is the process of replacing a variable in an expression with a specific value. For the expression given, substituting x=10 means replacing every instance of 'x' with 10, allowing us to simplify and evaluate the expression. This step is crucial for finding the numerical value of the expression.
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Solving Systems of Equations - Substitution

Order of Operations

The order of operations is a set of rules that dictates the sequence in which calculations should be performed to ensure consistent results. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), applying these rules correctly is essential when evaluating expressions to avoid errors in calculations.
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Performing Row Operations on Matrices
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