1. 1.2 What Is It Called? Pg. 7 Common Vocabulary Words for Geometry

2. Today you are going to build on your previous knowledge to answer new questions.

3. 1.6 – SOLVING VARIABLES When solving an equation, start with distribution. Then combine like terms on each side of the equal sign. Afterwards, get the variable on one side of the equal sign, undo any addition, subtraction. Then undo any multiplication or division.

4. 5 x = 3

5. x = 8 +7 +7 4x = 32 4

6. x = 9 +6 +6 2x = 18 2 2x– 6= 12

7. –3x –2 = 6x – 14 +14 12 = 6x __ 6 6 2 = x

8. e. 7x + 7 – 3x – 9 = 50 4x4x +2 +2 4x = 52 __ 4 4 x = 13 – 2 = 50

9. f. 5(x – 3) + 9x = 3x + 29 5x5x – 15 + 9x = 3x + 29 14x – 15 = 3x + 29 –3x 11x – 15 = 29 +15 +15 11x = 44 __ 11 x = 4

10. 3a =18 a = 6 3 3

11. 4x =48 x = 12 4 4

12. 4y = 3y + 30 -3y y = 30

13. 1.5 – QUADRATICS To factor, look for the greatest common factor that divides into each term with a “hockey stick.” Then, if possible, use a t-chart to complete.

14. 5 3x– 1 5 (3x – 1)

15. 4x x– 6 4x(x – 6)

16. 2x 2 3x+ 2 2x 2 (3x + 2)

17. x x +5 +1 (x + 5)(x + 1)

18. 2x x +1 +3 (2x + 1) (x + 3)

19. 2x x +1 –3 (2x + 1) (x – 3)

20. 1.8 – SOLVING BY FACTORING When a quadratic equation has an equal sign, then you can solve for the variable. You can either take the square root of both sides or by using split, set, see what you get.

21. x x +7 –7 x + 7 = 0x – 7 = 0 x = –7 x = 7

22. x x +3 –3 x + 3 = 0x – 3 = 0 x = –3 x = 3

23. x + 1 = 0x – 3 = 0 x = -1 x = 3

24. x x +6 +1 x + 6 = 0x + 1 = 0 x = -6 x = -1

25. x x -3 x – 3 = 0 x = 3

26. 3x x -4 3x – 4 = 0x – 1 = 0 x = 4/3 x = 1 3x = 4

27. TermDefinitionPictureNotation Ray ____ capital letters A B CD Initial point, then continues in one direction 2 AB DC

28. TermDefinitionPictureNotation Opposite Rays A B C Rays that go in opposite directions AB AC and

29. TermDefinitionPictureNotation Segment A B Has two endpoints, doesn’t go on forever AB BA

30. TermDefinitionPictureNotation Congruent A B C D Same shape and size

31. 1.9 – RAYS 1. Name the rays. ABBAST

32. 2. Name a pair of opposite rays. YXand YZ

33. 1.10 – SEGMENTS 1. Name the segments two different ways. AB BA PO OP

34. 2. Draw at least two of your own examples of what segments look. Make sure you draw two points on the segment, both on the two endpoints. A B C D

35. 1.11 – REVIEW 1. Name two rays shown in the figure. NX NR

36. 2. Name the opposite ray for NM. NC

37. 3. Name a segment. AN

38. 1.12 – REVIEW Determine whether each statement is always, sometimes, or never true. Never

39. Sometimes Never

40. Always never

41. Sometimes

42. 1.13 – USING RULERS 1.Make sure each person gets a ruler. 2.Examine the ruler. Notice one side is measured in inches and one is measured in centimeters. 3.Find the location of centimeters. Then notice where the 0 is. 4.Line up the ruler to one end of the segment and measure how long the segment is. Each mark represents 0.1 cm. The segment below is 5.2 cm.

44. 5. Measure the segments below in centimeters using your ruler. 5.4cm 3.3cm 1.2cm5.7cm 4.4cm1.7cm 2cm 2.5cm