Question

Evaluate. $$ x+\frac{1}{3} $$ $$ (a)x=\frac{2}{3} $$ $$ (b)x=-\frac{5}{6} $$

   Evaluate. 
$$
x+\frac{1}{3}
$$ 
$$
(a)x=\frac{2}{3}
$$
$$
(b)x=-\frac{5}{6}
$$

Prealgebra

Lynn Marecek,… 1st Edition

Chapter 4, Problem 698

Instant Answer

Solved by Expert Elizabeth Xu

05/01/2020

Step 1

So, the equation becomes $\frac{2}{3}+\frac{1}{3}$. Show more…

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Evaluate. $$ x+\frac{1}{3} $$ $$ (a)x=\frac{2}{3} $$ $$ (b)x=-\frac{5}{6} $$

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Key Concepts

Variable Substitution

Variable substitution is the process of replacing a variable in an algebraic expression with a specific numerical value. This concept is essential for evaluating expressions and solving equations, as it allows one to determine the numerical outcome of an expression once all variables have been assigned values.

Arithmetic with Fractions

Arithmetic with fractions involves performing operations such as addition, subtraction, multiplication, and division on fractional numbers. A key skill in this area is identifying a common denominator to accurately combine fractions, a necessary step when simplifying expressions that involve fractions.

Evaluation of Algebraic Expressions

Evaluation of algebraic expressions combines the process of variable substitution and arithmetic operations. After substituting the given values into an expression, one applies the order of operations—handling tasks like adding fractions—to simplify the expression to a final, simplified numerical result.

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