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, …

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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, …

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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 …

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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 …

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Basic Addition and Subtraction

This lesson introduces the concept of numbers and their symbolic and graphical representations. It also describes how to add and subtract whole numbers. Numbers A number is a way to quantify a set of entities that share some characteristic. For example, a fruit basket might contain nine pieces of fruit. More specifically, it might contain three apples, …

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