1) simplify. 3(sqrt)-1/27 -1/3 (assuming that the “3” here means cube root)

[Pages:6]1) simplify. 3(sqrt)-1/27 -1/3 (assuming that the "3" here means cube root)

2)multiply. (a+d)(a^2-ad+d^2) a3 + d3

3)divide and simplify. n^6/n^13 1/n7

4)multiply. (7x+5)(x^2+8x+2) 7x3 + 61x2 + 54x + 10

5) subtract. simplify by collecting radical terms. 4(sqrt)32 -8(sqrt)2

8 2 (assuming that the 4 and the 8 are coefficients and not indexes for the radical signs)

! 6)find the variation constant and an equation of variation where y varies directly as x and y=32 when x=4.

k = 8

y = 8x

7)rewrite with positive exponents. (7xy)^-8/9

1

8

(7 xy ) 9

8)factor the trinomial. v^3-4v^2-45v !

v(v + 5)(v ? 9)

9) solve. (x+15)(x-13)(x+4)>0 { x | -15 < x < -4, x > 13 }

10) factor. r^2+16r+64 (r + 8)(r + 8)

11)multiply and simplify. (16c^2/5c^2-30c+45) * (5c-15/4c) 4c c"3

! 13)divide. (28b^3+27b^2+22b+47) / (4b+5) 7b2 ? 2b + 8 + 7/(4b+5)

14) perform the indicated operations and simplify. w-5/w-7 - w+1/w+7 + w-35/w^2-49 9

w+7

! 15)find the greatest common factor for the group of terms. -18z^4, 3a^5 3a4 or 3z4, depending on whether the a or the z is a typo If there is no typo, then the GCF is 3

16) multiply and simplify by factoring. 3(sqrt)y^4 3(sqrt)16y^5 2y3(32) (2 times y cubed times the cube root of 2) (assuming that the 3 here means cube root)

17) add. (4s^4-4s^3+5s^2+14s-10) + (s^5+12s^3+3s^2-5s+ + 8s) + (-7s^4+s^2-4s-6) s5 ? 3s + 8s3 + 9s2 + 5s ? 8 (assuming that the "8s" in middle is supposed to be "8" )

18)solve. (sqrt) 9x+55 =x+5 x = 5

19)identify the degree of each term of the polynomial and the degree of the polynomial. 3x^3+2x^2+8x+3

The degree of the first term is 3 The degree of the second term is 2 The degree of the third term is 1 The degree of the fourth term is 0 The degree of the polynomial is 3

20)solve. 6/x =8/x -1/5 x = 10

21) add. simplify. 6t/t^2-81 + t/t-9 (t2 + 15t) / (t2 ? 81)

22) use rational exponents to simplify. 3(sqrt)x^12 x4

23) state the value of the discriminant and then describe the nature of the solutions. 6x^2-2x+6=0 what is the value and type of solution.

Discriminant = 148 Equation has two real number solutions. (assuming that the coefficient of the x2term is "-6")

24) subtract. (12x^2+6w+2)-(6w^2+2) 6w2 + 6w (assuming that the "x^2" should be "w^2")

25) simplify. 3(sqrt) 512x^8 /y^3 (8x2/y)(3x2) (8 times x2 divided by y, times the cube root of x2)

26) rewrite with rational exponent. 4(sqrt)22 221/4

27)convert to decimal notation. 8.93x10^7 89,300,000

28) solve for x. 4x(x-7)-5x(x-6)=-3 x = 3, -1

29) use quadratic formula to solve. 2x^2-x=-6 (1 + i47)/4, (1 ? i47)/4

30) foil to find product. (7x^4 -6)(x^7 -5) 7x11 ? 6x7 ? 35x4 + 30

31) simplify. (sqrt)32a^2b 4a2b

32) write a quadratic equation for the variable x. standard form sx^2+bx+c=0. solution 4, only solution.

x2- 8x + 16 = 0

33) solve. w^2 -6w -40=0 w = 10, -4

34) find the following. (sqrt) (a+5)^2 | a + 5 |

35) factor completely. 100s^2 +160st +64t^2 (10s + 8t)(10s + 8t)

36) factor completely. 5x^7 -10x^6 +15x^5 5x5(x2 ? 2x + 3)

37) factor completely. 49w^2-100

(7w ? 10)(7w + 10)

38) find the x intercept. y=x^2+3x-4 intercepts: (-4, 0), (1, 0)

39) multiply. (-3t)^2 (4t^2)2 144t6

40) multiply y^13 * y^0 y13

41) factor. 10 -7c +c^2 (5 ? c)(2 ? c)

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