1. Pg. 11/21 Homework Pg. 11 #15 – 21, 26 – 35, 39 #1assoc prop of add#2distrib prop #3commut prop of add#4assoc prop of mult #5[-2, 3)#6 [4, 5]#7 (-∞, 5] #8(-3, -1)#9 #10 [-4, 5] #11 8#12 5#13 #14 #7-$10.75, $8.00, $26.75, $70.50 #8y = 0.25x – 35.75#9Graph #10break even = 143 tickets; x > 143 will yield a profit

2. 1.1 Real Numbers and the Coordinate Plane Absolute Value Definition – Formal If a is a real number, then the absolute value of a if given by: – Informal The distance from zero on the number line. Examples Write the expression without using absolute value notation

3. 1.1 Real Numbers and the Coordinate Plane Distance Formula Between points sharing a coordinate (on a real- number line) – If points P(a, b) and Q(a, c), then:d(P, Q) = |b-c| Between points on the same line – If points and then: Midpoint Formula The midpoint of the line segment with endpoints (a, b) and (c, d) is the point with coordinates:

4. 1.1 Real Numbers and the Coordinate Plane Domain and Range Domain – The domain is all the possible input values of a function. – All the possible x – values. Range – The range is all the possible output values of a function. – All the possible y – values. Graphing Windows When in doubt, what do you ZOOM to? What are you other options?

5. 1.2 Graphing Utilities and Complete Graphs Problem Solving Read the problem Re-read the problem State the problem in your own words Define the variables in the problem Clearly identify what you are given and what you are looking for Example It costs $8 to enter the fair. Each ticket towards a ride costs $0.75. Generalize the pattern from the given information.