Table of contents
- 0. Review of College Algebra4h 43m
- 1. Measuring Angles39m
- 2. Trigonometric Functions on Right Triangles2h 5m
- 3. Unit Circle1h 19m
- 4. Graphing Trigonometric Functions1h 19m
- 5. Inverse Trigonometric Functions and Basic Trigonometric Equations1h 41m
- 6. Trigonometric Identities and More Equations2h 34m
- 7. Non-Right Triangles1h 38m
- 8. Vectors2h 25m
- 9. Polar Equations2h 5m
- 10. Parametric Equations1h 6m
- 11. Graphing Complex Numbers1h 7m
0. Review of College Algebra
Solving Linear Equations
1:04 minutes
Problem 21b
Textbook Question
Textbook QuestionFind each sum or difference. See Example 1. 4 - 9
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Basic Arithmetic Operations
Understanding basic arithmetic operations such as addition, subtraction, multiplication, and division is essential for solving mathematical expressions. In this case, the question involves subtraction, where the second number is subtracted from the first. Mastery of these operations allows for accurate calculations and is foundational for more complex mathematical concepts.
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Order of Operations
The order of operations is a set of rules that dictates the sequence in which different mathematical operations should be performed to ensure consistent results. Commonly remembered by the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), this concept is crucial when evaluating expressions that contain multiple operations. In this question, however, only subtraction is involved.
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Negative Numbers
Negative numbers are values less than zero and are essential in understanding the results of certain arithmetic operations, particularly subtraction. When subtracting a larger number from a smaller one, the result is a negative number. Recognizing how to work with negative numbers is vital for interpreting results correctly in various mathematical contexts.
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