Complete Review of Algebra 1 - Atlantis Charter School
[Pages:19]Algebra 1
Name___________________________________
Review of Algebra 1 * Placement Test Review
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Evaluate each expression.
1) 2 - 6 ? 6
2) 6 - (4 - 2)
3) 1 - (-8) - 12
-3
4) 9 - 24 - (-5)
-8
Evaluate each using the values given.
5) -5x2 - (x + y); use x = -2, and y = 5
( ) 6) -5 n - p ; use n = -9, and p = 2 3
Solve each proportion. 7) v - 3 = - 12
v+5 7
8) 11 = 6 b-1 b+1
Find each percent change. State if it is an increase or a decrease.
9) From 12 to 15
10) From 16.6 to 13
11) From 99 to 35
12) From 17 to 74
13) From 305 to 395
14) From 309 to 292
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Worksheet by Kuta Software LLC
Solve each problem. 15) What is 42% of 66? 17) 98% of 74 is what? 19) 330 is 300% of what? Solve each equation. 21) 6x - 5x = 0
23) -2(2m + 7) = -28 - 6m 25) -6n - 12(-11n + 8) = -10(n - 4)
27) -6n = 6 29) -7 - 8k = 73 31) -6 3 - 9x = -18
16) What is 98% of 1.8? 18) 41% of what is 35? 20) 13% of what is 260?
22) 17 = n + 2 + 4n
24) 25 + r = -5(2 + 8r) + 6r 26) -28x + 6 = -3(1 + 7x) - 7x
28) 5x = 30 30) 10a - 8 = 78 32) 9x - 9 + 4 = 76
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Worksheet by Kuta Software LLC
Solve each equation. Remember to check for extraneous solutions.
33) 2 = m 4
34) 1 = n + 5
35) x = 20 - x
36) p = 10 - 9 p
37) -n + 2n + 34 = 5
38) -b + 60 - 6b = -10
Simplify. Your answer should contain only positive exponents.
39) n n3 2n
40) kk2
41) a2 2a0
42) 2x3 3x
( ) ( ) 43) -x4 y4 -5 2xy3 0
( ) 44) -2u-2v2 2 -2v-5
( ) 45) 2u0v5 2u5v3 3
46) -x y5 (2 yx )2 2
(-2x4 y2)3
47) 2 y-2 2x-2 y2
( ) 48) -
vu3
3
2u4v-3 -u4v-4
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Worksheet by Kuta Software LLC
a-4b-1 ab2 49)
(-a)-4
x2 y0 50) -
( ) 2 yx-1 2x2 -1
Name each polynomial by degree and number of terms.
51) 6 p4 + 10 p3
52) -8n + 3
Simplify each expression.
53) (7n4 - 14 - 5n3) - (7 - 8n3 + 11n4)
54) (12x + 10x3 - 7) + (6x3 + 14 + 4x)
55) (13xy - 6 y2) + (14x4 - 3 y2 + x2y2) - (-9 y2 - 4xy)
56) (9 - 4a3b3) - (-6a3b3 - 14 - a) - (-6a3b3 + 2a)
Find each product.
57) (2x + 4)(2x - 2)
58) (4n + 5)(n + 4)
59) (-5 p + 8)(7 p - 5)
60) (-k + 3)(8k - 8)
61) (4n - 6)(6n2 + 3n + 8)
62) (-x - 3)(6x2 + 8x + 8)
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Worksheet by Kuta Software LLC
63) (m - 2)2 65) (n - 6)(n + 6)
Divide.
67) (10v4 + 30v3 + 2v2) ? 10v
Factor each completely. 69) p2 - 9 p + 18 71) 15v2 + 132v + 96 73) 6r2 + 53r - 70 75) 4n2 - 25 77) 4 p2 + 12 p + 9 79) 18b2 - 2
64) (r + 1)2 66) (8 - 6x)2
68) (18b3 + 2b2 + 3b) ? 6b
70) p2 - 8 p - 9 72) 5n2 - 8n - 21 74) -30a2 + 51a - 18 76) 16m2 - 25 78) 9x2 + 24x + 16 80) 27n2 - 3
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Worksheet by Kuta Software LLC
Solve each equation by factoring.
81) (3x + 1)(x + 4) = 0
82) (r - 1)(r + 1) = 0
83) v2 - 8v + 7 = 0
84) 3x2 + 12x + 9 = 0
85) x2 + 7x = 8
86) n2 = -9 - 6n
Solve each equation with the quadratic formula. 87) n2 - 2n - 3 = 0
88) x2 - 3x - 18 = 0
89) 4r2 = 24 - 10r
90) 4m2 = 2 - 4m
91) -2n2 + 2n + 53 = -7
92) -10x2 - 12x + 45 = -9x2 + 1 - 5x
Write an inequality for each graph.
93)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
94)
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Draw a graph for each inequality. 95) - p 5
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
96) -5 < -n
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
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Worksheet by Kuta Software LLC
Solve each compound inequality and graph its solution.
97) 2a - 12 > -20 or 5 - 2a 29
98) 11 4 + 7n 67
-16 -14 -12 -10 -8 -6 -4 -2 0
0 1 2 3 4 5 6 7 8 9 10 11 12
99) 5x -10 or 3x -18
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3
100) -1 < 3 + r 4
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4
101) -14 - 15v 18 - 19v < -19v - 1
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
102) -17x - 3 13 - x and 8 - 2x > -8 - x
-2 0 2 4 6 8 10 12 14 16 18
Solve each inequality and graph its solution.
103) n > 3 3
-12 -8
-4
0
4
8
12
104) 3x 15
-8 -6 -4 -2 0 2 4 6 8
105) 4k - 5 < 5
-4 -3 -2 -1 0 1 2 3 4 5 6 7 8
106) 9 - 6 p < 57
-10 -8 -6 -4 -2 0 2 4 6 8 10 12
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Worksheet by Kuta Software LLC
107) 3 3n - 6 > -9
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
Simplify. 109) 8 111) 3 486v3 113) -5 2 + 5 2 115) -2 3 - 2 12 - 54 117) 4 112 - 2 128 - 2 7 - 2 32 119) 2 4
121) -2 15(5 + 10)
108) 6 - 6x + 3 39
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
110) 27 112) -5 256x 114) -2 5 + 5 5 116) -3 12 - 3 45 - 2 5 118) 2 80 + 2 8 - 20 + 4 5 120) 4 2
122) 5 15( 10 + 3)
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Worksheet by Kuta Software LLC
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