Overview Real numbers are numbers on the number line. This includes positive and negative numbers, integers, rational numbers, irrational numbers, and the number zero. Real numbers have certain mathematical properties,…
read moreOverview Both sides of an equation will remain equivalent as long as we add, subtract, multiply and divide by equivalent expressions. The properties of equality ensure that we can isolate…
read moreOverview Scientific notation is a method of representing very large numbers with positive exponents and very small numbers with negative exponents. Although any number can be used as a base…
read moreOverview Many applied problems can be solved using rational equations and proportions. Some of the types of problems that can be solved include problems involving different rates of work, different…
read moreOverview Polynomials with more than one variable are often used in applications when one variable has a relationship with another. Special attention to combining like terms is essential to solving…
read moreOverview Direct and inverse variation refer to relationships between variables, so that when one variable changes the other variable changes by a specified amount. Both direct and inverse variation can…
read moreOverview Rational expressions may include constants or variables in the numerator and denominator. If the variable is in the denominator, values of the variable that cause the denominator to equal…
read moreOverview Rational expressions are like fractions, and must have common denominators in order to be added or subtracted. In order to find the smallest denominator in common, the least common…
read moreOverview Radical expressions contain one or more radicands, or expressions underneath root signs. They can be multiplied following rules for non-negative real numbers. Radical Expressions Radical expressions that do not have…
read moreOverview Sums or differences of cubes can be factored similarly to other quadratic equations. They follow a pattern that is a little more complex than factoring quadratic equations. Sum of…
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