Problem 61
Question
Evaluate each algebraic expression for x = 2 and y = -5. $$|x+y|$$
Step-by-Step Solution
Verified Answer
The evaluated result for the given algebraic expression is 3.
1Step 1: Substitution
Substitute the given values of x and y into the expression: \(|x+y|= |2+(-5)|\)
2Step 2: Simplify inside absolute value
Simplify the numbers inside the absolute value, we add the numbers: \( |-3|\)
3Step 3: Evaluate absolute value
The absolute value of -3 is the distance of -3 from 0 on the number line, which is 3.
Other exercises in this chapter
Problem 61
Evaluate each expression in Exercises \(55-66,\) or indicate that the root is not a real number. $$ \sqrt[4]{(-3)^{4}} $$
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In Exercises 59–66, perform the indicated operations. Indicate the degree of the resulting polynomial. $$ \left(4 x^{2} y+8 x y+11\right)+\left(-2 x^{2} y+5 x y
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Simplify each exponential expression. $$ \left(\frac{-15 a^{4} b^{2}}{5 a^{10} b^{-3}}\right)^{3} $$
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Factor using the formula for the sum or difference of two cubes. $$8 x^{3}-1$$
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