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Algebra /Honors Algebra – Summer Assignment
8th Grade
Dear Student:
In order to prepare for our Algebra program, it is necessary that you maintain your
pre-algebra skills. These skills are important in solving problems in algebra,
geometry, probability, and statistics.
This assignment will be collected on the first day of class. It will be counted as
your first homework grade. Ten points will be deducted each day that it is late.
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The attached worksheets are your assignment.
►
Please show all of your work neatly on loose-leaf
►
Place the final answer on the worksheet in the space provided.
►
Use pencil
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Be sure your name is on all of your papers.
►
A useful website is www.algebra1.com.
Have a peaceful and safe summer!
The Mathematics Department
Name
------------------------------- Date----------------
Evaluate the expression when
x
= 6, Y = 1.0, and z = -1.2.
2. 2x + Y
1. 13 - x
1 2
5.
2z
7. x 2 + 2y-13
8.
(z + xp -
x
y
2.
3.
4.
5.
6.
7. ______________
8. ______________
9. _____________
6. -2(y - z)
(y - x)2
Y
9.
22
Identify the property that the statement illustrates.
10. a + (b + c) = (a + b) + c
11.. mon=nom
10. _____________
12. x (y + z) = xy + xz
13. 'x
11.. _____________
12. _____________
1= x
0
"
1.. _____________
3. -
4. yz
Answers
Use the distributive property to write an equivalent
variable expression.
130 _____________
14. _____________
14. 9(x + 3)
16. (9 + 7x)(-5)
15. _____________
16. _____________
19. x + 9x
17.
18.
19.
15. -3(2d - 4)
Simplify the expression.
17. 4(3m)
18. -3b(13)
20. -5t + 7t - 2t
21. 3p - (p
23. 4(c + 2) + c
24. -2(y
+
+ 6)
+ (3 - d)
25. -k + 5(k - 6)
22. 5d
3) - 7y
28. -13z
= -7
27. 5 = h - 23
r
= 169
29'4"=-14
31. j - 9.2
32. 3.6 = 2.4v
33. 0.8 = 6.5
a
c
34. 5" + 4 = -2
36. 6(x
38. k
35.51 = -3 -
+ 3) -1 = -7
+ (2
- 5k)(6)
25. _____________
= -3.6
30. -1.2 + Y = 3.7
= k + 12
21. ______________
22. ______________
23. ________~____
24. ______________
Solve the equation.
26. x + 14
20.
2b
37. 4h - 3(h + 2) = -8
39. -3t + 7(t -1) = -11 + 2t
26.
27.
28.
29.
30.
31.
32.
33.
34.
35. ______________
36. ______________
37. ____~________
38. _--,----_ _ __
39. ______________
Answers
40. ______________
Write the verbal sentence as an equation.
40. Six plus 4 times a number is equal to 16 minus the number.
41. Five times a number minus -11 is equal to 26 times the number.
42. A number divided by 3 and increased by 5 is equal to -9.
43.
44.
45.
43. A number less 13 is equal to the number divided by 2.
Solve the inequality.
44. x + 5 <-4
45. 45;::: c
47. -3<-
48. 8 - 3w S 14
49. 17>4
50. -t
5
46.
20
47.
48.
49. ______________
50. ______________
b
46. -6y;:: 72
18
p
7 ;:: 3(t
+
51. -6x + 17> 5
1)
2x
51. ______________
52. ______________
Write the verbal sentence as an inequality.
52. The difference of 5 and y is at least 19.
53. The sum of z and
41.
42.
53.
12 is greater than -20.
54.
54. The quotient of x and 4 is at most - 2.
55.
55. The product of b and 7 is less than 84.
Find the greatest common factor of the monomials.
56.
57.
56. 3x 2 , 13x
58.
57. 64a5 b5 , 80a 4 b7
58. 15p,
59.
Write the fraction in simplest form.
59.
3Sk 2
60. 64a 5
8a
3
SIX}'3
61. - - 4
34x
60.
61. ______________
62. ---:---,­
62. ______________
63. ______________
Find the least common multiple of the monomials.
63. 4t, 20t 2
4 2
64. lOxi, 12x2y
65. lSa b , 24ab
Find the product or quotient. Write your answer using only
positive exponents.
68. 2a3 ·4a2 66. t 4 • to
70. m
3
-?
X -
71. ----=4
x
72. 54d
6
3
64.
65.
66.
67.
68.
69.
70.
71. ______________
72. ______________
73. ______________
Simplify the expression. 74.
x
x
Answers
d
"9 + 15
76 _ 6h + 2h
d
75. 8 - 20
·
13
39
Solve the equation.
6
77']3x
78. _ _ _ _ __
Solve the equation or inequality by first clearing the fractions or
the decimals.
317 + S = 20 5
80. 4 a
82. 1.2x + 2.4
84.
1
1
4.2
5
1
3
81. 16
"3 t
83. 1.9x
+ 6.7
2
-7"d + 2" ?: 14
8
-
f
3
12 = 36
= 102
89 • §.
7
d
79. _ _ _ _ __
80. _ _ _ _ __
·81. _ _ _ _ __
8
82. _ _ _ _ _ __
= 18.48 83. _ _ _ _ _ _~
50
85. "3 b - 27 < Sf
84. _____________
85. _ _ _ _ _ __
Solve the proportion.
86.
75.
76. _ _ _ _ __
77. _ _ _ _ __
2
78. SC - 5 = 17
24
74.
x
87. 48
5
6
= 4.8 90 • 9.6
c
51
86. _ _ _ _ _ __
88 7 = 56
• a 96
87. _ _ _ _ __
91 4.7 = 14.1
• Y
33
Use a proportion or the percent equation to answer the question.
88. _ _ _ _ _ __
89. _ _ _ _ __
90. _ _ _ _ __
92. What percent of 580 is 203?
91. _ _ _ _ _ __
93. 99 is 22.5% of what number?
92. _ _ _ _ _ __
94. What number is 25% of 125?
93. _ _ _ _ __
94. _ _ _ _ _ __
AAswerKey Honors/Regular Algebra I Summer Assignment .
3.
1. 7 2. 22 3.S' 4. -120
,
7. 43
5. 72
6.-44
2
8. 26 ' 9.
10. associative property ofaddition
11. commutative property of multiplication
12. distributive property
13. identity property of multiplication
14. 9x + 27 15. -6d + 12 16. -45 - 35x
17. 12m 18. -39b 19. lOx 20; 0
40.
4d + ~ 23~ 5c + 8
-9y - 6 25. 4k - 30 26. -21 27. 28
-13 29. - 56 30. 4.9 31. 5.6
1.5 33. 5.2 34. - 30 35.' -108
-4 37. -2 38. 0 39.-2
6 + 4x = 16 - x 41. 5x - (-11)
26x
42.
3" + 5 = -9
21. 2p - 6
I
24.
28.
32.
36.
~2.
x
.
43. x -13
x
=2
44. x < -9
50 46. y:$; -12 47. b> -54
48. w ~ -2 49. P < 148· SO. t:$; -2.5
51. x < 3. 52. 5 - y;::: 19
45.
c:$;
53. z + (-12) > -20
55. 7b < 84
54.~:$;-2
56. x 57. 16a4b5
-313
5k2
59'""4 60. 8a61. "
,a-
63. 20t 2 64. 6Ox2;
I
.
62.
58. 5p
3
--2
5mp
65. 120a4 b3 66.
[4
1
1
2
69. 5 70'"2 71. x
b
m
7
8x
3d
72. 18d 73. 3p 74. 45 75. 40
67.
68. 8a
..3
y
16h 76. - 39
81. 2 116
5
77. 52
82. 1.5
]0
85. b < 127
83. 6.2
86. 1 87. 40
90. 102 91. 11
94. 31.25
78. 55
92. 35%
79.
1
12
80.
'51
84. d:$; 1
88. 12 89. 119
93. 440