1. SUMMER REVIEW for students entering GEOMETRY REMEMBER: Your high school mathematics courses require you to use concepts learned in previous math classes. Use this Summer Review to reacquaint yourself with skills that you will need to be successful in geometry. Surfs up! Make waves with math!

2. Give two ways to write each algebraic expression in words. NOTE: Answers will vary! 1. x + 32. 2m – 73. 5y 12/2/2015Mrs. McConaughy Geometry 2

3. Evaluate each expression for x = 8, y = 5, and z = 4. 4. x + y 5. x/z 12/2/2015Mrs. McConaughy Geometry 3

4. Evaluate each expression. 6. (-2) 3 7. 12/2/2015Mrs. McConaughy Geometry 4

5. Find each square root. 8. 9. 12/2/2015Mrs. McConaughy Geometry 5 Time to recall your perfect squares!

6. Write all classifications that apply to each real number (natural, whole, integer, rational, irrational.) 10. 8/9 11. 12 12/2/2015Mrs. McConaughy Geometry 6

7. Simplify each expression. 12. -24 + 2 2 – 4 · 3 13. │ 10 - 5 2 │ + 5 14. 12x + 30x 15. 8y 2 – y 2 16. 4n + 11n 2 17. 4 (2x – 5) 18. 2(x + 5) – 3 (x – 2) Time flies when you’re having fun! 12/2/2015Mrs. McConaughy Geometry 7

8. Solve each equation. 19. 2x + 6 = 10 20. 21. 2 (x + 1) = 14 22. 2 (3x + 1) – 8x = 12 23. 4x + 5 = 7x + 11 24. -7x – (x – 3)= 2 (5x – 3) 25. Take a break! 12/2/2015Mrs. McConaughy Geometry 8

9. Write and solve each proportion. 26.The ratio of band members to non- band members in Seneca Valley Intermediate High School is 2:5. There are 875 students in grades 9 and 10. How many band members are there? 27. Seneca Valley track star I. M. Fleetfeet ran at a rate of 6 mi/h. What is this speed in mi/minute? 12/2/2015Mrs. McConaughy Geometry 9

10. Solve each inequality and graph on a number line. 28. 18 + ≤ 50 29. 7 – 2t ≤ 21 12/2/2015Mrs. McConaughy Geometry 10

11. Find the slope of each line. 30.31. 12/2/2015Mrs. McConaughy Geometry 11

12. Find the slope of the line containing the given points. 32. (1,2) & (7, -2) 33. (-4,10) & (0,3) Time to cool off with ski bird! 12/2/2015Mrs. McConaughy Geometry 12

13. Graph each equation. 34. y = -2 35. x= 4 36. y = - ½ x + 4 37. y = 5x - 3 NOTE: Remember to label your lines! 12/2/2015Mrs. McConaughy Geometry 13

14. Write the equation of the line in slope-intercept form. 38.slope = ½; y-intercept = -5 39. slope = -3; y-intercept = 0 40. through the points (1,-4) and (3,2) 12/2/2015Mrs. McConaughy Geometry 14

15. 41. Find the x and y intercepts of -2x + 4y = 7. 42.Is the point (4, 14) on the line y -3x + 2? Explain. 43. Solve the system of equations by graphing. y = x – 3 y = -x + 1 12/2/2015Mrs. McConaughy Geometry 15

16. Simplify. 44. 2 5 · 2 6 45. (2 5 ) 6 46. a 4 · b 2 · a 5 47. (4x 2 y 6 )(-2x 3 y 4 ) 2 48. 49. 12/2/2015Mrs. McConaughy Geometry 16

17. Evaluate each function for the given input value. 50. For y = 2x + 10, find y when x = 6. 51. For y = ½ t – 3, find y when t = 12. 12/2/2015Mrs. McConaughy Geometry 17

18. Evaluate the exponential function. 52. The function y = 2(3) x models an insect population after x days. What will the population be on the 5 th day? 12/2/2015Mrs. McConaughy Geometry 18

19. Add or subtract the polynomials. 53. (2x 2 – x) + x2 + 3x – 1) 54. (a 4 – 2a) – (3a 4 – 3a – 1) 12/2/2015Mrs. McConaughy Geometry 19

20. Multiply. 55. (5x 2 ) (4x 3 ) 56. 5 (2x 2 + x + 4) 57. (x + 2) (x – 5) 58. (x -5) 2 59. (2x + 7) (2x – 7) 60. (x – 3) (x 2 + 2x + 3) 12/2/2015Mrs. McConaughy Geometry 20

21. Factor completely. 61. 4x 2 – 3x 62. x 2 + 6x + 8 63. x 2 – 10 x + 16 64. x 2 + 7x -18 65. x 2 + 12x + 36 66. 25x 2 - 81 67. 5x 2 – 14x + 8 68. 4x 2 + 19x - 5 12/2/2015Mrs. McConaughy Geometry 21

22. You’re finished! Please return later for solutions! 12/2/2015Mrs. McConaughy Geometry 22