VIEWS: 33 PAGES: 47 CATEGORY: Personal Finance POSTED ON: 9/27/2010 Public Domain
Coefficient In any term, the coefficient is the numeric factor of the term or the number that is multiplied by the variable. Example: 3x 3 is the coefficient of x Created by Heather Bergman- Jersey Village High School Houston, Texas Polygon A closed plan figure formed by three or more segments that intersect only at their endpoints. In a regular polygon, all angles and all line segments are congruent. Created by Heather Bergman- Jersey Village High School Houston, Texas Parallel Lines Lines in the same plane 10 8 6 that never intersect. 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 Parallel Lines also have -2 -4 -6 the same slope. -8 -10 y = 3x + 2 y = 3x – 6 Created by Heather Bergman- Jersey Village High School Houston, Texas Complementary Angles Two angles are complementary if their sum in 90. a b 90 a b Created by Heather Bergman- Jersey Village High School Houston, Texas Supplementary Angles Two angles are supplementary if their sum is 180. a b 180 a b Created by Heather Bergman- Jersey Village High School Houston, Texas 45-45-90 Special Right Triangle x 2 x Created by Heather Bergman- Jersey Village High School Houston, Texas x 30-60-90 Special Right Triangle 30 2x x 3 Created by Heather Bergman- Jersey Village High School Houston, Texas x Pythagorean Theorem 2 2 2 a +b =c Remember these Pythagorean Triples: 3-4-5 c 5-12-13 a b Created by Heather Bergman- Jersey Village High School Houston, Texas Slope *tells how steeply a line slants *rise over run *rate of change y = 3x – 2 change in y y Slope * change in x x Created by Heather Bergman- Jersey Village High School Houston, Texas Perpendicular Lines Two lines that intersect to form right angles. y= ½ x + 3 10 y = -2x – 2 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 Notice the relationship of -2 -4 their slopes. The product of -6 their slopes is -1. -8 -10 Created by Heather Bergman- Jersey Village High School Houston, Texas Mean The average of a set of values. abcd e 5 Created by Heather Bergman- Jersey Village High School Houston, Texas Median The middle value of a set of values when all the values are arranged in order. 13, 17, 23, 25, 27 The median is 23. Created by Heather Bergman- Jersey Village High School Houston, Texas Mode The values that occurs most often. Some sets of data have more than one mode, and some have no mode. 12, 24, 34, 12, 24, 67 12 and 24 are the modes Created by Heather Bergman- Jersey Village High School Houston, Texas Percent This word literally means “per one hundred” and is represented by the symbol %. 50% = ½ = .50 Created by Heather Bergman- Jersey Village High School Houston, Texas Linear Parent Function y=x 10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 -10 Created by Heather Bergman- Jersey Village High School Houston, Texas Quadratic Parent Function 2 y=x 10 8 6 4 2 -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 -6 -8 Created by Heather Bergman- Jersey Village High School Houston, Texas -10 Exponential Parent Function x y=b 10 10 8 8 6 6 4 4 2 2 -10 -8 -6 -4 -2 2 4 6 8 10 -10 -8 -6 -4 -2 2 4 6 8 10 -2 -2 -4 -4 -6 -6 -8 -8 -10 -10 Exponential Growth Exponential Decay b>1 0<b<1 Created by Heather Bergman- Jersey Village High School Houston, Texas Natural Numbers The numbers we use for counting. 1, 2, 3, 4, 5, 6, 7 . . . Created by Heather Bergman- Jersey Village High School Houston, Texas Rational Numbers Any number that can be expressed as the ratio of two integers in the a form b where b 0. 2 Example: 3 Created by Heather Bergman- Jersey Village High School Houston, Texas Constant A term with no variables. 2 2x + 3x + 5 = y The constant is 5. Created by Heather Bergman- Jersey Village High School Houston, Texas Integer The numbers in the set {. . . . –4, -3, -2, -1, 0, 1, 2, 3, 4. . . .} Created by Heather Bergman- Jersey Village High School Houston, Texas Exponents Product Property a b x *x x a b Created by Heather Bergman- Jersey Village High School Houston, Texas Exponents Quotient Property a x a b b x x Created by Heather Bergman- Jersey Village High School Houston, Texas Exponents Power Property x b a x a*b Created by Heather Bergman- Jersey Village High School Houston, Texas Exponents Negative Exponent b b m n n m Created by Heather Bergman- Jersey Village High School Houston, Texas Exponents Zero Power b 1 0 Created by Heather Bergman- Jersey Village High School Houston, Texas Domain of a Function The set of input values for which the function is defined (x-values). 10 9 8 7 6 5 4 D0 x6 3 2 1 1 2 3 4 5 6 7 Created by Heather Bergman- Jersey Village High School Houston, Texas Range of a Function The set of output values for the function (y values). 10 9 8 R0 y9 7 6 5 4 3 2 1 1 2 3 4 5 6 7 Created by Heather Bergman- Jersey Village High School Houston, Texas Coordinate Plane y-axis 10 Origin 8 6 II 4 I 2 x-axis -10 -8 -6 -4 -2 2 4 6 8 10 -2 -4 III -6 IV -8 -10 Created by Heather Bergman- Jersey Village High School Houston, Texas Range The range of a data set is the difference between the maximum and minimum values. 4, 10, 2, 5, 7 Range = 10 - 2 = 8 Created by Heather Bergman- Jersey Village High School Houston, Texas Polynomial A term or a sum of terms where each term is the product of a real- number coefficient and a variable with a whole-number coefficient. 3 2 2x + 5x – 3x + 4 Created by Heather Bergman- Jersey Village High School Houston, Texas Similar Figures Two figures are similar when their corresponding angles are congruent and their corresponding sides are proportional. 32 74 Created by Heather Bergman- Jersey Village High School Houston, Texas Rotation A rotation turns a figure through a given angle about a point called its center. 10 8 6 Example: 4 2 Rotate the given figure -10 -8 -6 -4 -2 2 4 6 8 10 -2 counterclockwise 90 about -4 the origin. -6 -8 Created by Heather Bergman- Jersey Village High School Houston, Texas -10 Variable A letter used to stand for a quantity that changes in value. x is the variable in 9 – x Created by Heather Bergman- Jersey Village High School Houston, Texas Function A special relation in which each x value (domain) is paired with only one y value (range). Created by Heather Bergman- Jersey Village High School Houston, Texas Direct Variation A linear function that can be expressed in the form y = kx, where k 0. Created by Heather Bergman- Jersey Village High School Houston, Texas Scientific Notation A number expressed in the form n a x 10 , where n is an integer and 1 a 10 . 4 3.4 x 10 = 34,000 -4 3.4 x 10 = 0.00034 Created by Heather Bergman- Jersey Village High School Houston, Texas Function Notation To write a rule in function notation you use the symbol f(x) in place of y. f(x) = 3x – 8 is in function notation. Created by Heather Bergman- Jersey Village High School Houston, Texas Relation A set of ordered pairs that shows how two variables are related. {(2,3), (7,11), (-3, 6), (7,-5)} Created by Heather Bergman- Jersey Village High School Houston, Texas Independent Variable The independent variable is the input variable or x-variable (abscissa) and is listed first in the ordered pair. “The amount the grass grows depends on the amount of rain.” Independent variable-amount of rain Created by Heather Bergman- Jersey Village High School Houston, Texas Dependent Variable The dependent variable is the output variable or y-variable (ordinate) and is listed second in the ordered pair. “The amount the grass grows depends on the amount of rain.” Dependent variable-amount grass grows Created by Heather Bergman- Jersey Village High School Houston, Texas Mapping A diagram that uses arrows and numbers in “bubbles” to show the relationship between the domain and x y range. 2 -1 2 -1 4 6 TABLE 5 3 3 5 6 3 10 4 MAPPING 10 Created by Heather Bergman- Jersey Village High School Houston, Texas Horizontal Line Equation: y=a Slope : 0 y-Intercept : a x-Intercept : none Created by Heather Bergman- Jersey Village High School Houston, Texas Vertical Line Equation: x=a Slope : Undefined y-Intercept : none x-Intercept: a Created by Heather Bergman- Jersey Village High School Houston, Texas Y-Intercept The y-coordinate of the point where a graph crosses the y-axis. The y-intercept is -5. Created by Heather Bergman- Jersey Village High School Houston, Texas X-Intercept The x-coordinate of the point where a graph crosses the x-axis. The x-intercept is -2. Created by Heather Bergman- Jersey Village High School Houston, Texas Ratio A comparison of two numbers by division. Examples: 3:7 3 5 Slope is an example of a ratio. Created by Heather Bergman- Jersey Village High School Houston, Texas