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Math Review of Squaring Binomials 150 150 Deborah

Math Review of Squaring Binomials

Overview When binomials are squared, the resulting trinomial follows a pattern.  The pattern can be derived from the general process of multiplying a binomial by another binomial, except that all the terms are the same.  As in the general process, the Distributive Property is used, then like terms are combined. What Is A Squared Binomial?…

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Multiplication of Polynomials 150 150 Deborah

Multiplication of Polynomials

Overview Polynomials can be multiplied similarly to operations with monomials.  There are two different types of properties used, the Distributive Property, and properties of multiplying exponents.  In addition, like terms can be combined to simplify the resulting equation. Multiplying a Monomial by a Polynomial In some types of expressions, a monomial is multiplied by a…

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Addition and Subtraction of Polynomials 150 150 Deborah

Addition and Subtraction of Polynomials

Overview: Polynomial expressions can be added and subtracted just like any other type of expression. However, it is important to make sure that only like terms are combined, and unlike terms are kept separate from each other.  The resulting expression contains all the like and unlike terms of all the polynomials being considered. What Are…

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Math Review of Monomials and Polynomials 150 150 Deborah

Math Review of Monomials and Polynomials

Overview: Monomial and polynomial expressions in algebra are ways to combine numbers and variables within an equation.  Both types of expressions follow certain rules. They can be used in operations, similar to other numbers. What Are Monomials? Monomials are numbers or variables, or the product of numbers and variables.  The exponents must be positive whole…

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Math Review of the Metric System 150 150 Deborah

Math Review of the Metric System

Overview: The metric system is an international system of measuring length, mass, and capacity.  Units are standardized and based upon the decimal system.  The metric system is used many places around the world, as well as in science. How Is Length Measured in the Metric System? Length in the metric system is measured by the…

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Multiplication and Division of Monomials 150 150 Deborah

Multiplication and Division of Monomials

Overview: Monomials can be multiplied and divided like any other algebraic expression. They can be simplified by applying the rules of exponents, if the bases are the same. It is not necessary to solve the equation for the values of the variables before operations can be performed. Multiplying Monomials with More than One Variable: Applying the…

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Math Review of Problem-Solving Strategies: Verbal Problems 150 150 Deborah

Math Review of Problem-Solving Strategies: Verbal Problems

Overview: Verbal math problems, also known as “word problems”, present example situations involving numbers or quantities.  Such problems ask students to apply their knowledge of mathematical operations to set up equations and solve them.  When those problems involve unknown quantities, letters representing variables can be used. What Information Is Presented? In verbal math problems, a…

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Math Review of Writing Equations: Words to Symbols 150 150 Deborah

Math Review of Writing Equations: Words to Symbols

Overview: Writing equations in algebra is a process of translating words into mathematical symbols and operations.  The difference between expressions in arithmetic and those in algebra is that variables are used to express unknown quantities, but the process is similar.  That way, equations can be derived to express everyday relationships between numbers and unknown quantities.…

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Solving Equations with More than One Step 150 150 Deborah

Solving Equations with More than One Step

Overview: Some simple equations, such as a + 4 = 12 and 2x = 16, only take one step to solve.  This is because it only takes one operation to solve the equation, with no other operations to be performed.  Other equations require more than one mathematical operation for the variable to be solved. What…

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Math Review of Combining Operations 150 150 Deborah

Math Review of Combining Operations

 Overview: Some algebra equations can be solved by combining operations.  For example, students can use the Distributive Property with Multiplication over Addition to solve many different equations when the variables are the same.  Combining operations can lead to shortcuts to solve problems. What Is the Distributive Property? The Distributive Property of Multiplication over Addition (or its…

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