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

1:41 minutes

Problem 130

Textbook Question

Simplify each expression. 8+(a+7)

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Key Concepts

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

Order of Operations

The order of operations is a set of rules that dictates the sequence in which mathematical operations should be performed to ensure consistent results. The common acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) helps remember this order. In the expression 8 + (a + 7), operations within the parentheses should be simplified first.

Combining Like Terms

Combining like terms is a fundamental algebraic process that involves simplifying expressions by adding or subtracting terms that have the same variable raised to the same power. In the expression 8 + (a + 7), the constant terms 8 and 7 can be combined to simplify the expression further, leading to a clearer result.

Algebraic Expressions

An algebraic expression is a mathematical phrase that can include numbers, variables, and operation symbols. It does not contain an equality sign. Understanding how to manipulate and simplify algebraic expressions, such as 8 + (a + 7), is crucial for solving equations and performing algebraic operations effectively.