# Ch 25: High School Algebra: Well-Known Equations

### About This Chapter

## High School Algebra: Well-Known Equations - Chapter Summary and Learning Objectives

This chapter covers several well-known mathematical equations, including the theory of relativity, the value of e and Euler's identity. You'll learn about Isaac Newton's formula for the force of gravity, and see how mathematical formulas are used in everyday life; for example, you'll find out how to calculate monthly loan payments using an equation.

By the end of this chapter, you should be able to:

- Use the Pythagorean theorem to determine the length of one side of a right triangle.
- Find the diameter and circumference of a circle using pi.
- Explain why Fermat's Last Theorem was one of the world's toughest math problems.
- Solve equations using the quadratic formula.

Video | Objective |
---|---|

Theory of Relativity: Definition & Example | Learn about the theory of relativity. |

Pythagorean Theorem: Definition & Example | Explore the Pythagorean theorem. |

The Value of e: Definition & Example | Learn the equation for the value of e. |

Diameter and Circumference: Related with Pi | Learn the equations for diameter and circumference related with pi. |

Isaac Newton's Formula for the Force of Gravity: Definition & Example | Explore Isaac Newton's formula for the force of gravity. |

Euler's Identity: Definition & Example | Learn the equation for Euler's identity. |

Fermat's Last Theorem: Definition & Example | Learn the equation for Fermat's Last Theorem. |

Calculating Monthly Loan Payments | Learn an equation for monthly loan payments. |

The Absolute-Value Inequality: Definition & Example | Learn the equation for the absolute-value inequality. |

The Quadratic Formula: Definition & Example | Learn the equation for the quadratic formula. |

### 1. Theory of Relativity: Definition & Example

Watch this video lesson, and you will learn about the theory of special relativity and how it applies to you. Learn how you can use one of the most famous equations from this theory to calculate the power inside just one tiny object.

### 2. Pythagorean Theorem: Definition & Example

Learn what the Pythagorean Theorem says about a right triangle and the relationships of its three sides to each other by watching this video lesson. Also learn how you can use this to your advantage when solving problems.

### 3. The Value of e: Definition & Example

After watching this video lesson, you will learn that the mathematical constant e has a name. You will also learn how it is used in mathematics along with what characteristics it has.

### 4. Diameter and Circumference Related with Pi

After watching this video, you will be able to tell others how the number pi is related to a circle's diameter and circumference. And using your newfound knowledge, you will be able to calculate the circumference or diameter of a circle.

### 5. Isaac Newton's Formula for the Force of Gravity: Definition & Example

Watch this video lesson and you will see how you can calculate the force of attraction between two objects. Learn why our planets don't spin themselves out of orbit around the sun.

### 6. Euler's Identity: Definition & Example

Watch this video lesson to learn about Euler's Identity and why it is considered a mathematical jewel. Find out about the person who came up with it and also see an example of it in use.

### 7. Fermat's Last Theorem: Definition & Example

Considered a mathematical mystery for hundreds of years, watch this video lesson to learn what Fermat's Last Theorem tells us and why mathematicians struggled for years to prove it true.

### 8. Calculating Monthly Loan Payments

Watch this video lesson and learn how you can calculate your monthly payment when you are thinking of purchasing a car. Okay, you can also use this formula whenever you are getting a loan!

### 9. The Absolute-Value Inequality: Definition & Example

After watching this video lesson, you will be able to solve absolute value inequalities. Learn how you can easily set up your problem to successfully solve your problem each and every time.

### 10. The Quadratic Formula: Definition & Example

Watch this video lesson to learn how you can use the quadratic formula to solve certain types of problems. Learn what kinds of equations you can solve using this formula as well as how easy it is to use this formula.

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### Other Chapters

Other chapters within the Remedial Algebra I course

- High School Algebra: Basic Arithmetic
- High School Algebra: Solving Math Word Problems
- High School Algebra: Decimals and Fractions
- High School Algebra: Percent Notation
- High School Algebra: Real Numbers
- High School Algebra: Exponents and Exponential Expressions
- High School Algebra: Radical Expressions
- High School Algebra: Algebraic Expressions and Equations
- High School Algebra: Properties of Functions
- High School Algebra: Matrices and Absolute Value
- High School Algebra: Working With Inequalities
- High School Algebra: Properties of Exponents
- High School Algebra: Complex and Imaginary Numbers
- High School Algebra: Algebraic Distribution
- High School Algebra: Linear Equations
- High School Algebra: Factoring
- High School Algebra: Graphing and Factoring Quadratic Equations
- High School Algebra: Properties of Polynomial Functions
- High School Algebra: Rational Expressions
- High School Algebra: Cubic Equations
- High School Algebra: Quadratic Equations
- High School Algebra: Measurement and Geometry
- High School Algebra: Calculations, Ratios, Percent & Proportions
- High School Algebra: Data, Statistics, and Probability