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Using Formulas to Solve Math Problems 150 150 Deborah

Using Formulas to Solve Math Problems

  Overview: Some relationships between variables can be solved for in terms of common formulas.  For example, the formula for the circumference of a circle is C=πd.  This equation shows the relationship between the circumference of a circle and the diameter of the circle. What Is a Formula? A formula is an equation or inequality…

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Multiplication and Division of Radicals 150 150 Deborah

Multiplication and Division of Radicals

Overview: Multiplication and division of radicals use the same properties as other types of multiplication.  It is much easier to simplify expressions before they are used in an expression.  Also, the result needs to be checked carefully to make sure the expression is in its simplest form. Factoring a Radical Multiplying a radical is defined…

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Math Review of Simplifying Radicals 150 150 Deborah

Math Review of Simplifying Radicals

Overview: Before many operations can be performed with expressions involving radicals, the radicals must be simplified.  This ensures that they are factored so that there are no perfect square factors under the radical sign.  Approximations of the nonnegative square root can then be calculated. How Are Radicals Factored? The process of factoring radicals is similar…

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Chemistry Review of Solids 150 150 Deborah

Chemistry Review of Solids

Overview: The solid state of matter is one of the three states of matter, along with liquids and solids.  In the solid state of matter, particles are in fixed positions, compared to their movement in liquids or gases.  Solids can be crystalline or amorphous, depending on the structure that molecules form.  Various types of bonds…

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Chemistry Review of Liquids 150 150 Deborah

Chemistry Review of Liquids

Overview: The liquid state is one of the three states of matter, between the gaseous state and the solid state.  Molecules still move freely, although the density is higher than in the gaseous state.  Many substances occur in the liquid state at room temperature. How Does the Kinetic-Molecular Theory Account for Liquids? The particles in…

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Chemistry Review of Gases 150 150 Deborah

Chemistry Review of Gases

  Overview: As one of the three states of matter, gases have chemical and physical properties of their own. The particles that make up gases are the most diffuse and are able to move freely.  Some gases are made up of compounds and mixtures of different kinds of molecules, while a few, the noble or…

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Math Review: Fractions to Decimals 150 150 Deborah

Math Review: Fractions to Decimals

Overview: Simple fractions and mixed numbers are often turned into equivalent decimals for ease of operations in addition, subtraction, multiplication, and division.  They are easier to use on a calculator or with a computer, they are always in the same terms, so it is easier to compare them.  When they are translated into decimals, some…

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Introduction to Rational Numbers 150 150 Deborah

Introduction to Rational Numbers

Overview: Rational numbers are numbers that can be expressed as a ratio of integers, such as 5/6, 12/3, or 11/6.  The denominator can be 1, as in the case of every whole number, but the denominator cannot equal 0.  Decimals must be able to be converted evenly into fractions in order to be rational. Why…

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Math Review of Roots of Numbers 150 150 Deborah

Math Review of Roots of Numbers

Overview The root of any number is specified by the radical symbol (√).  It is the inverse operation to raising a number by an exponent.  Roots may be rational numbers or irrational numbers. What Is the Square Root? The square of any number is the number multiplied by itself.  For example, 62 equals 36.  The…

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Math Introduction to Probability 150 150 Deborah

Math Introduction to Probability

Overview: The probability of an event is determined by how likely that event is to happen.  If an event is impossible, it has a probability of 0.  If an event is certain to happen, it has a probability of 1.  Probabilities are usually expressed as fractions, as decimals, or as percentages. What Is an Event?…

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