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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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Representing Data: Frequency Distributions and Stem and Leaf Plots 150 150 Deborah

Representing Data: Frequency Distributions and Stem and Leaf Plots
Equations and Inequalities with More Than One Operation 150 150 Deborah

Equations and Inequalities with More Than One Operation

Overview: Although some simple equations or inequalities call for one type of operation, many call for two or three steps.  In that case, read the problem carefully to determine what operations are needed.  Then solve the problem by working backwards. Be Sure What the Problem Is Asking Read the problem to determine what operations are…

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More Problem-Solving Strategies: Solve a Simpler Problem 150 150 Deborah

More Problem-Solving Strategies: Solve a Simpler Problem

Overview: There are many ways to solve math problems.  Some can be solved more easily by drawing a diagram, making a chart or graph of all the values, or looking for a pattern.  Another strategy to use is to solve a simpler problem, then use information from the steps and the solution to solve another…

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