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
7. Systems of Equations & Matrices
Determinants and Cramer's Rule
1:38 minutes
Problem 3a
Textbook Question
Textbook QuestionWhat expression in x represents ?
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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 combination of numbers, variables, and operators (such as addition, subtraction, multiplication, and division) that represents a mathematical quantity. Understanding how to construct and manipulate these expressions is fundamental in algebra, as they form the basis for solving equations and inequalities.
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Variables and Constants
In algebra, variables are symbols (often letters) that represent unknown values, while constants are fixed values. The ability to distinguish between these two is crucial for forming expressions and equations, as it allows for the representation of relationships and the solving of problems involving unknown quantities.
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Function Notation
Function notation is a way to represent a function using symbols, typically denoted as f(x), where 'f' indicates the function and 'x' is the input variable. Understanding function notation is essential for interpreting expressions and determining how changes in the input affect the output, which is key to solving algebraic problems.
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