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### 5 Cards in this Set

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 1) List 4 important subsets of the real number system. 2) Give a short description of each subset. 3) Give an example of each subset. 1. Rational numbers - numbers that can be expressed as a ratio of 2 integers. Example: fractions, whole numbers, decimals 2) Irrational numbers - numbers that cannot be written as a ratio of 2 integers. Example: square root of a nonperfect square, non-repeating and non-terminating decimals. 3) Whole numbers - the set of non-negative integers. Example: positive integers and 0 4) Integers - whole numbers and their opposites. Example: negative and positive whole numbers and 0 1) Explain how to compare these real numbers: 4.65 x 10^(-2), 0.01 , 9/100, 0.063, 0.053615... 2) Arrange the numbers in descending order. 1) Convert to decimal form, then compare, or use the sort feature on the calculator. 2) 0.01 , 9/100 , 0.063 , 0.053615..., 4.65 x 10^(-2) 1) When 2 triangles are similar, corresponding angles are ____, and corresponding sides are _______. 2) When 2 triangles are congruent, corresponding angles are _______, and corresponding sides are ________. 1) congruent, proportional 2) congruent, congruent Tell how you can determine if a function is nonlinear from looking at 1)the graph of the function 2)the equation of the function 1)The graph of a nonlinear function is not a straight line. 2)The equation is not of the form y = mx + b. Example y = x^2 1)Define and tell how to find the slope of line l a)from the graph and b)from the equation 2)Define and tell how to find the y-intercept of the line a)from the graph and b)from the equation. 1)a)Pick 2 points on the line. Count the vertical distance (rise) and the horizontal distance (run) between the 2 points. Slope = rise / run. b)Convert the equation to slope-intercept form. Equation: y= mx + b; m is the slope. 2)a)The point where the line crosses the y-axis is the y-intercept. b)Convert the equation to slope-intercept form. Equation: y = mx + b; b is the y-intercept.