SUMMER REVIEW for students entering GEOMETRY

1
SUMMER REVIEW for students entering GEOMETRY
Surfs up! Make waves with math!

• 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.

2
Give two ways to write each algebraic expression
in words.
NOTE Answers will vary!
1. x 3 2. 2m 7 3. 5y
3
Evaluate each expression for x 8, y 5, and z
4.

• 4. x y 5. x/z

4
Evaluate each expression.

• 6. (-2)3 7.

5
Find each square root.
Time to recall your perfect squares!

• 8.
• 9.

6
Write all classifications that apply to each real
number (natural, whole, integer, rational,
irrational.)

• 10. 8/9
• 11. 12

7
Simplify each expression.

• 12. -24 22 4 3 13. 10 - 52 5
• 14. 12x 30x 15. 8y2 y2
• 16. 4n 11n2 17. 4 (2x
  5)
• 18. 2(x 5) 3 (x 2)

Time flies when youre having fun!
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! ?
9
Write and solve each proportion.

• The ratio of band members to non-band members in
  Seneca Valley Intermediate High School is 25.
  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?

10
Solve each inequality and graph on a number line.

• 28. 18 50
• 29. 7 2t 21

11
Find the slope of each line.

• 30.

• 31.

12
Find the slope of the line containing the given
points.
Time to cool off with ski bird!

• 32. (1,2) (7, -2)
• 33. (-4,10) (0,3)

13
Graph each equation.
NOTE Remember to label your lines!

• 34. y -2
• 35. x 4
• 36. y - ½ x 4
• 37. y 5x - 3

14
Write the equation of the line in slope-intercept
form.

• slope ½ y-intercept -5
• 39. slope -3 y-intercept 0
• 40. through the points (1,-4) and (3,2)

15

• 41. Find the x and y intercepts of -2x 4y 7.
• 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

16
Simplify.

• 44. 25 26 45. (25)6
• 46. a4 b2 a5 47.
  (4x2y6)(-2x3y4)2
• 48. 49.

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.
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 5th day?

19
Add or subtract the polynomials.

• 53. (2x2 x) x2 3x 1)
• 54. (a4 2a) (3a4 3a 1)

20
Multiply.

• 55. (5x2) (4x3) 56. 5 (2x2 x 4)
• 57. (x 2) (x 5) 58. (x -5)2
• 59. (2x 7) (2x 7) 60. (x 3) (x2 2x
  3)

21
Factor completely.

• 61. 4x2 3x 62. x2 6x 8
• 63. x2 10 x 16 64. x2 7x -18
• 65. x2 12x 36 66. 25x2 - 81
• 67. 5x2 14x 8 68. 4x2 19x - 5

22
Youre finished!

• Please return later for solutions!