Complete Review of Algebra 1 - Atlantis Charter School

Algebra 1

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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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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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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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