September 20 2011 bell work Solve 1 10

September 20, 2011 ~bell work~ Solve: 1. 10 n + 12 = 14 n – 12 2. (4 w – 28) + (11 w + 13) = 180 3. (7 t – 21) + (t + 4) = 15 4. 8 x – 4 – 2 x = -10 5. 4 x – 9 = 7 x – 15

Check your homework from Monday. continued

Check your homework from Monday.

Grade your homework assignment and pass it to the center of the room to be collected. You need a sheet of paper out to write down a few notes and examples for today.

Yesterday, we learned about finding distances (or measurements) using a ruler or a number line. • Today, we have one more similar type of example to look at. It is using a road map with exit markers.

Real Numbers and Number Lines Traveling on I-70, the Manhattan exit is at mile marker 313. The Hays exit is mile marker 154. What is the distance between these two towns?

How far is it from exit 270 to exit 335 on interstate 75? Exit 335 Exit 270

Segment Addition Postulate The Segment Addition Postulate states that if point B is between point A and point C, then AB + BC = AC. If AB + BC = AC, then B is between A and C. A B C

Your Assignment: • Complete BOTH sides of the worksheet practicing the segment addition postulate!!

N is between L and P. LN = 14 and PN = 12. Find LP. L 14 N 12 P Q is between R and T. RT = 18 and QR = 10. Find QT. 10 R Q 18 T

EXAMPLE 2 Apply the Segment Addition Postulate Maps The cities shown on the map lie approximately in a straight line. Use the given distances to find the distance from Lubbock, Texas, to St. Louis, Missouri. SOLUTION Because Tulsa, Oklahoma, lies between Lubbock and St. Louis, you can apply the Segment Addition Postulate. LS = LT + TS = 380 + 360 = 740 ANSWER The distance from Lubbock to St. Louis is about 740 miles.

Find MN if N is between M and P, MN = 3 x + 2, NP = 18, and MP = 5 x. M 3 x + 2 N 18 P 5 x 3 x + 2 + 18 = 5 x 3 x + 20 = 5 x -3 x 20 = 2 x 2 2 10 = x MN = 3 (10 ) + 2 MN = 32

If Q is between P and R, then PQ + QR = PR. If PQ +QR = PR, then Q is between P and R. 2 x P 4 x + 6 Q R If PR = 60, what is the distance between PQ? What is the distance between QR?