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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.