# Ch 20: Algebra II: Calculations, Ratios, Percent & Proportions Review

### About This Chapter

## Algebra II: Calculations, Ratios, Percent and Proportions Review - Chapter Summary and Learning Objectives

This chapter reviews a wide variety of practical math situations. You'll learn the difference between ratios and rates. You'll also practice solving math problems related to money and costs. Several lessons can teach you about percents and interest rates as they relate to tax totals, discounts and other real-life possibilities. Once you've finished the lessons in this chapter, you will have an understanding of several topics, including:

- Ratios and rates
- Money math problems
- Proportions
- Percents
- Interest formulas
- Taxes and discounts
- Distance formulas

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

Ratios and Rates: Definitions and Examples | Explain the difference between ratios and rates and how each is determined. |

How to Solve Problems with Money | Understand how to solve money problems by multiplying the number of units by the cost per unit to find a total cost. |

Proportion: Definition, Application and Examples | Define what proportion is and apply this definition to proportion math problems. |

Calculations with Ratios and Proportions | Perform calculations that involve both ratios and proportions. |

Percents: Definition, Application and Examples | Provide examples of how to calculate percentages by interchanging percents, fractions and decimals. |

How to Solve Word Problems That Use Percents | Successfully solve word problems that involve percents by identifying the whole, part or percent components. |

How to Solve Interest Problems: Steps and Examples | Determine the interest of a given figure and understand terms like interest rate and principal. |

Compounding Interest Formulas: Calculations and Examples | Know how to calculate the compound interest of a given amount. |

Taxes and Discounts: Calculations and Examples | Figure out both the tax charged on an item and the final discount price of sales items with given percentage discounts. |

How to Solve Problems with Time | Understand the mathematical process of calculating time and rates. |

Distance Formulas: Calculations and Examples | Comprehend how to calculate distance using distance formulas. |

### 1. Ratios & Rates: Definitions & Examples

If we have two items, or two numbers, and we want to compare them, what language can we use? How do we write the comparison? Find out as we learn about ratios and rates in this lesson.

### 2. How to Solve Problems with Money

Money matters, and knowing how much things cost will be useful no matter where you go. In this lesson, we'll learn the steps for solving word problems involving money.

### 3. Proportion: Definition, Application & Examples

When we want to compare one ratio, or fraction, to another equivalent ratio, it's a proportion. Learn all about proportions and practice solving proportion problems in this lesson.

### 4. Calculations with Ratios and Proportions

Even if only 99 out of 100 people need to know how to work with ratios, the odds that they'll be useful to you are very high. In this lesson, we'll practice performing calculations with ratios and proportions.

### 5. Percents: Definition, Application & Examples

Maybe you know that 95% is an A and 75% is a C. But what do those percents really mean? In this lesson, we'll learn about percents, including how to convert them to fractions and decimals.

### 6. How to Solve Word Problems That Use Percents

100 percent of percent problems can be solved if we follow the correct steps. In this lesson, we'll practice solving a variety of different percent problems.

### 7. How to Solve Interest Problems: Steps & Examples

If you want to know how your money can earn money, then it's essential to learn about solving interest problems. In this lesson, we'll practice calculating interest amounts and interest rates.

### 8. Compounding Interest Formulas: Calculations & Examples

Compound interest is a great way to have your money work for you. In this lesson, find out the formula for calculating compound interest and practice using the formula with several examples.

### 9. Taxes & Discounts: Calculations & Examples

When you go shopping, you don't want to be surprised by the amount of tax on an item. You also want to fully understand discounts to know how much you can save. In this lesson, we'll practice calculating both tax and discounts.

### 10. How to Solve Problems with Time

It's amazing how much time can be saved when people work together. In this lesson, we'll practice figuring out just how much time we're talking about as we solve problems involving time.

### 11. Distance Formulas: Calculations & Examples

Let's go on a road trip! In this lesson, we'll practice calculations involving distance, rate and time. We'll also look at how we determine the relationship between distance and fuel.

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### Other Chapters

Other chapters within the Algebra II: High School course

- Algebra II: Real Numbers
- Algebra II: Complex and Imaginary Numbers Review
- Algebra II: Exponents and Exponential Expressions Review
- Algebra II: Properties of Functions Review
- Algebra II: Linear Equations Review
- Algebra II: Systems of Linear Equations
- Algebra II: Inequalities Review
- Algebra II: Absolute Value Review
- Algebra II: Graphing and Factoring Quadratic Equations Review
- Algebra II: Quadratic Equations
- Algebra II: Factoring
- Algebra II: Polynomials
- Algebra II: Rational Expressions
- Algebra II: Graphing and Functions
- Algebra II: Conic Sections
- Algebra II: Roots and Radical Expressions Review
- Algebra II: Exponential and Logarithmic Functions
- Algebra II: Sequences & Series
- Algebra II: Combinatorics
- Algebra II: Statistics
- Algebra II: Trigonometry
- Homeschool Resources for High School Algebra II