Geometry a Summer Homework

GEOMETRY A SUMMER HOMEWORK

NAME:______

ALGEBRA TEACHER:______

SOLVE THE EQUATION (SHOW YOUR WORK)

1.) x + 12 = 25 2.) a – 6 = 0 3.) -42 = -7c

4.) ½ n = 10 5.) -32y = 4 6.) – ¾ x = 24

7.) w – 5 = -13 8.) 4.6 + y = 2.6 9.) a – 1/8 = 5/8

SOLVE THE EQUATION:

10.) 3y – 4 = 20 11.) 75 + 7c = 2c

12.) 11r + 120 = -r 13.) 3/5 n + 12 = 2n - 9

13.) ¼ w + 27 = 41 15.) 4 – 6p = 2p – 3

16.) 5( x + 3 ) = 12 17.) 7( a – 3 ) = 8a + 2

18.) x – ( - 4x + 2 ) = 13 19.) – ½ ( 16 – 2y ) = 11

20.) 7( 4c + 1 ) – 2 ( 2c – 3) = -23

SIMPLIFY EACH EXPRESSION BY FOILING

21.) (x + 4)(x – 5) 22.) (4x – 9)(x – 2)

23.) (2x + 1)(3x + 2) 24.) (x + 2)(x + 2)

USE THE QUADRATIC FORMULA TO SOLVE EACH EQUATION

25.) x2 + 2x – 3 = 0 26.) 2x2 + 4x – 1 = 0

27.) 3x2 – 2x – 6 = 0 28.) x2 - 6x + 9 = 0

FINDING AREAS OF FIGURES

29.) 30.)

31.) 32.)

33.) 34.)

Graph the following equation.

35. y = ½ x + 4 36. y = 2x – 4

37. y = - 3x + 5 38. –2/3 x + y = 0

Write an equation in slope – intercept form of the line that passes through the given 2 points.

39. (1 , 2) (3 , -2) 40. ( 0 , -3) ( - 5 , 0)

Simplify the expression.

41. 42. 43.

44. 45. 46.

47. 48. 49.

50. 51. 52.

53. 54. 55.