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

Algebraic Expressions

College Algebra

0. Review of Algebra

Algebraic Expressions

1:42 minutes

Problem 127

Textbook Question

Simplify each expression. 10/11 (22ɀ)

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Key Concepts

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

Simplification of Fractions

Simplifying fractions involves reducing them to their lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD). This process makes the fraction easier to understand and work with. For example, the fraction 10/20 can be simplified to 1/2 by dividing both the numerator and denominator by 10.

Understanding Variables

In algebra, variables are symbols that represent unknown values or quantities. In the expression 22ɀ, 'ɀ' is a variable that can take on different values. Understanding how to manipulate variables is crucial for simplifying expressions and solving equations, as it allows for the representation of general cases.

Distributive Property

The distributive property states that a(b + c) = ab + ac, allowing for the multiplication of a single term by a sum or difference. This property is essential when simplifying expressions that involve multiplication and addition or subtraction, as it helps to break down complex expressions into simpler components.