# Full Lesson

## Equations with One Variable

This lesson introduces how to solve linear equations and linear inequalities. One-Step Linear Equations A linear equation is an equation where two expressions are set equal to each other. The equation is in the form ax + b + c = 0, where a is a non-zero constant and b and c are constants. The exponent on a linear equation is always 1, …

## Ratios, Proportions, and Percentages

This lesson reviews percentages and ratios and their application to real-world problems. It also examines proportions and rates of change. Percentages A percent or percentage represents a fraction of some quantity. It is an integer or decimal number followed by the symbol %. The word percent means “per hundred.” For example, 50% means 50 per 100. This is equivalent to half, …

## Acids and Bases

Let’s Review Acids and bases exhibit unique properties when dissolved in water. Acids donate protons (in the form of hydrogen ions) and bases accept protons (or hydrogen ions) in solution. Acids generally taste sour, turn litmus paper red, and act corrosive. Bases generally taste bitter, turn litmus paper blue, are very corrosive, and will be …

## Chemical Solutions

This lesson discusses the properties of different types of mixtures, focusing on solutions. Then, it examines aspects of chemical reactions, including the components of the reactions and the types of changes that occur. Solutions When elements and compounds are physically (not chemically) combined, they form a mixture. When the substances mix evenly and it is …

## Multiplication and Division of Fractions

This lesson introduces how to multiply and divide fractions. Multiplying a Fraction by a Fraction The multiplication of fractions does not require changing any denominators like adding and subtracting fractions do. To multiply a fraction by a fraction, multiply the numerators together and multiply the denominators together. For example, is , which is . KEEP …

## Decimals and Fractions

This lesson introduces the basics of decimals and fractions. It also demonstrates changing decimals to fractions, changing fractions to decimals, and converting between fractions, decimals, and percentages. Introduction to Fractions A fraction represents part of a whole number. The top number of a fraction is the numerator, and the bottom number of a fraction is the denominator. The numerator …

## Basic Multiplication and Division

This lesson describes the process of multiplying and dividing numbers and introduces the order of operations, which governs how to evaluate expressions containing multiple arithmetic operations. Multiplication Addition can be tedious if it involves multiple instances of the same numbers. For example, evaluating 29 + 29 is easy, but evaluating 29 + 29 + 29 …