Table of contents

0. Review of Algebra4h 16m
1. Equations & Inequalities3h 18m
2. Graphs of Equations43m
3. Functions2h 17m
4. Polynomial Functions1h 44m
5. Rational Functions1h 23m
6. Exponential & Logarithmic Functions2h 28m
7. Systems of Equations & Matrices4h 6m
8. Conic Sections2h 23m
9. Sequences, Series, & Induction1h 19m
10. Combinatorics & Probability1h 45m

0. Review of Algebra

Radical Expressions

College Algebra

0. Review of Algebra

Radical Expressions

1:30 minutes

Problem 5a

Textbook Question

In Exercises 4–6, evaluate each algebraic expression for the given value or values of the variable. 6+2(x-8)³, for x=11

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Algebraic Expressions

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not have an equality sign and can represent a value depending on the values assigned to its variables. Understanding how to manipulate and evaluate these expressions is fundamental in algebra.

Order of Operations

The order of operations is a set of rules that dictates the sequence in which different operations should be performed in a mathematical expression. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), this concept ensures that expressions are evaluated correctly and consistently.

Exponentiation

Exponentiation is a mathematical operation involving two numbers, the base and the exponent, where the base is multiplied by itself as many times as indicated by the exponent. In the expression (x-8)³, the exponent 3 signifies that (x-8) is multiplied by itself three times, which is crucial for accurately evaluating the expression.