advanced algebra honors summer packet fileadvanced algebra honors summer packet name_____ this...

Advanced

Algebra

Honors

Summer

Packet

Name______________________________________

This summer packet should be complete for the first day of school. Please visit Mr.

Koski’s webpage for an answer key. There will be test the first week over this

material, which is Chapter 1 and part of Chapter 2. No calculator will be permitted

for the test.

Advanced Algebra Name _____________________________

Summer Packet Review

Evaluate the expression.

1. 62 2. 43 3. 69253

4. 2,6 3 xwhenxx 5. 42,532

yandxwhenyx

Simplify the expression.

6. 10(x – 3) + 2(5 – 3x) 7. 22 236 xxxx

8. 4(x + y) – 3x + y 9. 0.5(2x + 8) – 3(2 – 3x)

10. You want to buy either a paperback or hard covered book as a gift for 5 friends. Paperbacks cost

$6.95 each and hard covered books cost $24.99 each.

A. Write an expression for the total amount you must spend.

B. Evaluate the expression if 3 of your friends get a paperback.

Solve the following equations.

11. x – 8 =12 12. 9 – 3x = -3 13. 4 + 5x = x – 8

14. 462

1x 15. 6(2x – 1) + 3 = 6(2 – x) – 1

16. xx4

332

4

1 17. 15

5

1

5

63

3

2

xx

18. 1.5(4x – 2)= 2(0.5x – 3.5) 19. 0.4(x – 50) = 0.2x + 12

Find the value for y by first substituting the value of x into the equation and then solving for y.

20. 3x – 7y = 8 , when x = -2 21. 5x + 2y = 8 , when x = -1

22. 62

1

3

2 yx , when x = 6

Find the value of y by first solving for y and then substituting the value of x into the equation.

23. 6x – 9y = 9 , when x = -3 24. 8x + 3y = 10 , when x = 4

25. 67

4

4

3 yx , when x = 8

Solve and graph the following inequalities.

26. 3x + 2 > 8 27. 2(x + 1) < 6(2 – x) + 3

28. -3 < 2x + 7 < 5 29. 15 – 7x < -6 or 6x – 3 > -6

30. 4x – 3 > -7 and 8 – 2x < 5x – 10 31. 2x + 9 > 17 or 5x + 10 < 10

Solve and graph each absolute value equation.

32. | | 33. 1262 x

34. |2x + 5| = -3x

Graph a line using a table with 4 x-values.

35. y = 5x - 2 36. 13

1 xy

Find the slope of the line passing through the given points.

37. (-3, 5) and (6, 2) 38.

4

9,

2

3

4

3,

2

1and 39. (-2, 4) and (-2 , -7)

Decide whether the line passing through the given points rises, falls, is horizontal, or is vertical.

40. (4, -2) and (3, -3) 41. (5, 4) and (-3, 4)

Tell whether the lines are parallel, perpendicular, or neither.

42. Line 1: (3, 2) and (1, 5) 43. Line 1: (-2,1) and (-5, 3)

Line 2: (-1, 6) and (2, 8) Line 2: (0,3) and (3, 5)

Determine which line is steeper.

44. Line 1: (3, -1) and (5, -5)

Line 2: (-2, -2) and (1, -11)

Draw the line with the given slope and y-intercept.

45. m = 3

2 , b = 3 46. m = 2 , b = -1

Find the slope and y-intercept of the line.

47. 2x + 4y = -1 48. 3x – 7y = -14

Graph the equation using slope-intercept form.

49. y = 43

5x

Graph the equation in standard form by the x & y-intercepts.

50. 7x – 2y = -6

Graph the equation by any method.

51. y = 3x + 4 52. y = -5

53. 2x + 3y = -6 54. x = 3

55. xy4

1 56. 2y – x = 8

Write an equation of a line that has the given slope and y-intercept.

57. m = -6, b = 3 58. m = 2

1 , b = -4 59. m = 0 , b = 5

Write an equation of the line that passes through the given point and has the given slope. (Use

Slope-Intercept Form)

60. m = -2, passes through (1, 2) 61. m = 8, passes through

4,

2

1

Write an equation of a line that passes through the given point and has the given slope. (Use

Point-Slope Form)

62. m = 3, passes through (5, -2) 63. m = -5,passes through

4

3,

3

1

Write an equation of a line that passes through the given points.

64. (-2, 1) and (2, 4) 65. (-6, 1) and (-5, 4)

66. (1, -6) and (1, -2)

Write an equation of the line that passes through the given point and is parallel to the given line.

67. (-3, 2) , y = -4x + 3 68. (1, 1) , 72

1 xy

Write an equation of the line that passes through the given point and is perpendicular to the given

line.

69. (4, -9) , y = 4 70. (-1, 3) , 43

2 xy

Write the equation of the line.

71. 72.

Graph the inequality in a coordinate plane.

73. 2x > 6 74. y < -5

75. y < 2x – 1 76. 43

1 xy

77. 4x + y < -2 78. 2x – 4y > 8

Graph the linear system and estimate the solution.

79.

3 2

5 2 2

y x

x y

80.

4 3

20 5 15

y x

x y

81.

2 4

2 1

x y

x y

82.

3 2 10

2 3 2

x y

y x

Solve the system by substitution.

83.

2 5 7

4 2

x y

x y

84.

2 1

8 4 6

x y

x y

85.

6 3 15

2 5

x y

x y

Solve the system by elimination/linear combination method.

86.

2 6 17

2 10 9

x y

x y

87.

7 2 11

2 3 29

x y

x y

88.

3 4 18

6 8 18

x y

x y

Solve the system using any algebraic method.

89.

4 10

6 2 1

x y

x y

90.

23 34

3

11

2

x y

x y

91.

4 10

6 2 1

x y

x y