Solve the following equations showing all the work

Chapters 1 to 4

Name ________________________

Period _____

Revised 7/2013

TABLE OF CONTENTS

Keystone Algebra 1 Exam Eligible Content .. 2

Operations with Rational Numbers ..... 3

CC Standards: A1.1.1.1.1, A1.1.1.1.1.2, A1.1.1.4.1

Coordinate Plane ..13

CC Standards: A1.1.2.1.3, A1.2.2.2.1

Matrices ..... 15

CC Standards: A1.1.1.1.1

Properties ...16

CC Standards: A1.1.2.1.2

Algebraic Expressions ...... 17

CC Standards: A1.1.2.1.2

Distributive Property ..... 21

CC Standards: A1.1.2.1.2

Solve Equations .. 22

CC Standards: A1.1.2.1.1, A1.1.2.1.2,

Word Problems and Applications .. 26

Angle Measure (26), Proportions (27)

CC Standrds: A1.1.2.1.1. A1.1.2.1.3

Pythagorean Theorem ... 32

CC Standrds: A1.1.2.1.1. A1.1.2.1.3

Models 1 to 7 Word Problem Review ......34

CC Standrds: A1.1.2.1.1. A1.1.2.1.3

Function Tables & Graphs .... 36

CC Standards: A1.2.1.1.1, A1.2.1.1.2, A1.2.1.1.3, A1.2.1.2.1,

A!.2.1.2.2, A1.2.2.1.1, A1.2.2.1.2, A1.2.2.1.3,

A1.2.2.1.3

Scatterplots & Line of Best Fit 40

CC Standars: A1.2.2.2, A1.2.2.2.1, A1.2.3.2.2, A1.2.3.2.3

PA State Formula Sheets . 41

Vocabulary and Verbal Models ... 42

2

SPECIAL NOTE

This workbook is designed for 8th grade math students at Log College Middle School. Any person who wishes to copy any part of this book must have written permission from Mrs. Gismondi, who created, designed and compiled this work.

(Keystone Algebra 1 Exam Eligible Content)

(DIRECTIONS FOR RATIONAL NUMBERS)

Simplify each of the following: Absolute Value & Opposites

2

1. ( 4 )

2. ( 9 )

3. ( 7 + 3 )

4. ( 8 / 4 )

5. ( 18 11 )

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16. ( 8 )

17. ( 7 + 12 )

18. ( 5 + 2 )

19. ( 15 8 )

20. ( 5 4 )

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31. [ ( 6 ) ]

32. ( 9 7 )

33. ( 36 / 6 )

34. ( 3 0 )

35. ( 6 1 )

36.

37.

38.

39.

40.

41.

42.

43.

44.

45.

46.

47. ( 6 2)

48. ( 7 / 7 )

49. ( 9 + 6 )

50. ( 14 8 )

51.

52.

53.

54.

55.

56.

57.

58.

59.

60.

Add integers

1. 4 + 3

2. 7 + 9

3. 0 + 3

4. 0 + 4

5. 18 + 11

6. 2 + 1

7. 8 + 4

8. 4

9. 9 + 9

10. 6

11. 0 + 2

12. 8 + 7

13. 2 + 11

14. 3 + 3

15. 8 + 2

16. 13

17. 0 + 3

18. 0 + 6

19. 64 + 8

20. 7 + 8

21. 0 + 8

22. 17 + 3

23. 5 + 2

24. 15 + 7

25. 2 + 3

26. 8 + 1

27. 6 + 11

28. 2 + 3

29. 1

30. 0 + 1

31. 5 + 0

32. 5 + 6

33. 7 + 17

34. 0

35. 6 + 7

36. 14

37. 5 + 9

38. 5 + 1

39. 2

40. 8

41.

2

42. 9 + 7

43. 36 + 6

44. 3 + 0

45. 6 + 0

46. 9 + 1

47. 8 + 2

48. 6 + 8

49. 40 + 10

50. 5

51. 12 + 5

52. 7 + 4

53. 6

54. 2 + 6

55. 8 + 4

56. 22

57. 0

58. 15 + 5

59. 3 + 7

60. 0 + 10

61. 4 + 8

62. 6 + 3

63. 7 + 7

64. 9

65. 4 + 8

66. 6 + 5

67. 4

68. 4 + 2

69. 3 + 10

70. 63 + 7

71. 13

72. 0 + 2

73. 2 + 13

74. 19 + 1

75. 8

76. 11

77. 5 + 7

78. 7

79. 4 + 19

80. 11 + 11

Subtract Integers

1. 6 9

2. 26 11

3. 9 8

4. 11 41

5. 13 19

6. 9 4

7. 1 13

8. 2

9. 23 + 3

10. 9

11. 30 + 6

12. 6 + 8

13. 5 18

14. 3 4

15. 16 + 18

16. 13

17. 6 + 6

18. 9 0

19. 12 + 13

20. 36 16

21. 6 8

22. 19 + 13

23. 9 + 2

24. 16 13

25. 5 12

26. 9 + 20

27. 8 + 16

28. 9 + 3

29. 17

30. 14 0

31. 23 4

32. 5 7

33. 6 37

34. 7

35. 3 + 5

36. 14

37. 5 11

38. 24 1

39. 61

40. 14

41.

13

42. 5 + 11

43. 41 7

44. 9 + 1

45. 7 16

46. 11 13

47. 13 14

48. 26 15

49. 34 + 21

50. 35

51. 62 53

52. 25 + 13

53. 70

54. 51 + 6

55. 72 52

56. 16

57. 20

58. 10 15

59. 7 + 23

60. 30 + 39

61. 12 8

62. 7

63. 8

64. 4

65. 8 18

66. 45 + 11

67. 14

68. 7 + 2

69. 23 29

70. 47 51

71. 14

72. 1 7

73. 39 16

74. 81 1

75. 45

76. 19

77. 13 + 69

78. 37

79. 8 43

80. 48 + 24

Multiply Integers

1. 5 7

2. 6 4

3. 9 3

4. 12 4

5. 9 10

6. 6 7

7. 3 8

8. 11

9. 8 9

10. 7

11. 6 3

12. 12 10

13. 12 11

14. 13 6

15. 33 3

16. 41

17. 8 3

18. 10 99

19. 61 9

20. 35 4

21. 12 8

22. 18 2

23. 12 5

24. 11 10

25. 2 31

26. 9 12

27. 5 14

28. 7 9

29. 4

30. 0 41

31. 8 0

32. 7 1

33. 4 32

34. 1

35. 0 7

36. 4 11

37. 15 6

38. 4 2

39. 30 10

40. 6 5

41. 5 8

42. 8 7

43. 49 3

44. 19 0

45. 12 1

46. 50 5

47. 5 21

48. 9 8

49. 61 9

50. 2 2

51. 12 8

52. 4 6

53. 13 8

54. 5 6

55. 9 4

56. 71 8

57. 10 20

58. 7 25

59. 6 7

60. 10 10

61. 3 3

62. 11 11

63. 8 2

64. 6 6

65. 9 8

66. 7 12

67. 16

68. 8 8

69. 4 11

70. 85 7

71. 16 7

72. 0 24

73. 6 25

74. 87 1

75. 7 9

76. 81 4

77. 3 12

78. 0

79. 14 2

80. 12 12

Divide Integers Simplify. Write fraction answers in lowest terms.

1.

2.

3.

4.

5.

6.

7.

8.

9.

10.

11.

12.

13.

14.

15.

16.

17.

18.

19.

20.

21.

22.

23.

24.

25.

26.

27.

28.

29.

30.

31.

32.

33.

34.

35.

36.

37.

38.

39.

40.

41.

42.

43.

44.

45.

46.

47.

48.

49.

50.

51.

52.

53.

54.

55.

56.

57.

58.

59.

60.

61.

62.

63.

64.

65.

66.

67.

68.

69.

70.

71.

72.

73.

74.

75.

76.

77.

78.

79.

80.

All Operations

1. 2 + 3

2. 8 9

3. 0 + 5

4. 0/7

5. 19 10

6. 4 1

7. 7 2

8. 9

9. 9 / 9

10. 9

11. 0 / 3

12. 9 + 7

13. 2 + 6

14. 1 3

15. 7 2

16. 14

17. 0 2

18. 0 8

19. 56 / 8

20. 7 6

21. 0 + 5

22. 16 + 3

23. 6 + 3

24. 16 7

25. 4 5

26. 9 + 1

27. 9 + 10

28. 6 3

29. 1

30. 0 5

31. 8 0

32. 5 3

33. 6 16

34. 0

35. 4 + 7

36. 13

37. 2 2

38. 5 4

39. 3

40. 8

41. 1

42. 1 9

43. 30 / 6

44. 1 0

45. 7 0

46. 5 1

47. 6 / 3

48. 2 8

49. 30 / 10

50. 5

51. 13 5

52. 7 8

53. 0

54. 3 6

55. 1 4

56. 23

57. 0

58. 13 5

59. 7 7

60. 0 5

61. 5 + 8

62. 6