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Math Review of Using Quadratic Equations 150 150 Deborah

Math Review of Using Quadratic Equations

Overview: Solving quadratic equations is an important skill in algebra.  Some methods of solving quadratic equations include factoring, taking the square root of both sides, completing the square, and using the quadratic formula.  There are many applications where quadratic equations can be used, such as motion, time, distance, and speed. What Is a Quadratic Equation?…

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Math Review of Fitting a Line to Data 150 150 Deborah

Math Review of Fitting a Line to Data

Overview: When data points are plotted onto a standard graph, that is only the first step in determining the nature of the relationship.  The next step is to determine if the data follow a linear relationship, and then fit a line to the data.  While a line might not describe all the data points, if…

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Math Review of Direct, Inverse, Joint, and Combined Variation 150 150 Deborah

Math Review of Direct, Inverse, Joint, and Combined Variation

Overview: Equations that describe the relationship between two variables in a sentence express the variation between those variables.  Examples of types of variation include direct, inverse, joint, and combined variation. What Is Direct Variation? In direct variation, as one variable is multiplied by a constant and increases, another variable (the quotient) also increases.  Suppose Jane…

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Math Introduction to Factoring a Perfect Square Trinomial 150 150 Deborah

Math Introduction to Factoring a Perfect Square Trinomial

Overview: A perfect square trinomial is the square of a binomial.  It follows a pattern when it is factored, so that the first and last terms are perfect squares of monomials and the middle term is twice their product.  If the pattern does not fit for a particular trinomial, it is not a perfect square…

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Math Review of Fractions, Decimals, and Percents 150 150 Deborah

Math Review of Fractions, Decimals, and Percents

Overview: Fractions can be converted to corresponding decimals, and both fractions and decimals can also be converted to percents.  As with many equivalent expressions in mathematics, fractions, decimals, and percents can also be converted back into their original forms. What Are Fractions? A fraction is a part of the whole so that it is in…

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Math Review of Models for Subtraction 150 150 Deborah

Math Review of Models for Subtraction

Overview: Subtraction is a basic arithmetic operation. Variables, as well as more familiar numbers, can be subtracted using similar models, of take-away, the number line, and comparison. What Is the Take-Away Model of Subtraction? The take-away model of subtraction is the model that is most familiar from elementary school.  Recall familiar problems such as “If…

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Math Review of Finding Common Factors of Polynomials 150 150 Deborah

Math Review of Finding Common Factors of Polynomials

Overview: The process of finding common factors for polynomials is similar to the process of finding common factors for real numbers. Both can be written as prime factors.  The greatest common factor may be numerical, the product of a real number and a variable, or a binomial expression. Finding Prime Factors of Real Numbers There…

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Math Review of the Triangle-Sum Property 150 150 Deborah

Math Review of the Triangle-Sum Property

Overview: One of the many interesting properties of triangles is the Triangle-Sum Property.  According to the Triangle-Sum property, the sum of the measures of the angles of any triangle is 180 degrees.  The angles of the triangle form a straight angle. What Is a Triangle? A triangle is a polygon that has three sides that…

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Math Review of Using Parentheses in Equations 150 150 Deborah

Math Review of Using Parentheses in Equations

Overview: Parentheses in equations mean that numbers and variables should be combined first, regardless of the standard order of operations.  For example, an expression such as (3 + 4)∙ 5, which equals 35, has a different meaning than 3 + (4 ∙ 5), which equals 23.  Similarly, an expression such as (2 + 3)/7x has…

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Math Review of Adding and Subtracting Fractions 150 150 Deborah

Math Review of Adding and Subtracting Fractions

Overview: Adding and subtracting fractions is similar to adding and subtracting whole numbers, with one important difference.  The denominators must be the same, so that if the fractions do not have the same denominator, they must be changed into equivalent fractions with the same denominator.  Then the general pattern of adding or subtracting fractions can…

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