In Exercises 61–66, evaluate each algebraic expression for x=2 and y=-5. |x|+|y|

Key Concepts

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, |2| equals 2, and |-5| equals 5. Understanding absolute value is crucial for evaluating expressions that involve both positive and negative numbers.

Substitution

Substitution is the process of replacing a variable in an expression with a specific value. In this case, we substitute x with 2 and y with -5 in the expression |x| + |y|. This technique is fundamental in algebra as it allows us to evaluate expressions and solve equations by simplifying them with known values.

Evaluating Expressions

Evaluating an expression involves calculating its value by performing the operations indicated, using the substituted values for any variables. In the expression |x| + |y|, after substituting x and y, we compute the absolute values and then add them together. This concept is essential for finding numerical results from algebraic expressions.