ALGEBRA

Algebra

Algebra

1. (-1/3)^ 3

= -0.333^ 3 = -0.04

2. (-3)^0

= 1

3.

5^7

=

6.25E+ 02

5^3

4.

(a^3b^5)(a^7b^7)

= a ^10 b ^12

5.

= 8x^ -4

= A that is 1/8x^4

6.

= 1/y^11

7.

= A that is x^3/ y^7

8.

= C

9.

= Volume of smaller box = 3 x 3 = 9

= Volume of larger box = 8 x 8 = 64

10.

= 1/2a ^8

11.

= -1024x^20y^25

12.

= B

13.

= (-u^4v^8/49v^2u^12)

14.

3.94

x

0.00001

=

0.0000394

15.

4.5

x

100

x

8.3

x

0.0001

= 450

x

0.0008300

= 0.3735

16.

7.9

x

10000000

= 79200000

17.

= 1.9E-11

18.

= 4.50E+ 08

19.

7.5

x

10000000

= 75400000

20.

-8x^8 - 2x^4 + 1.732

= is not polynomial (No)

21.

8x^6 - 4x^2 + 8 + x^7

= 8 - 4x ^2 + 8x ^6 + x ^7

22.

= X

23.

= a) 8

= b) 11

24.

= 9x ^9 + 8x ^9 - 3x -3x +1

= 9x ^9 + 8x ^9 -6x +1

25.

E = 0.028t + 1.17;

For 2005, E = 0.028 (5) + 1.17 = 1.31

For 2012, E = 0.028 (12) + 1.17 = 1.506

26.

For 2009,

= 6.7x ^2 + 37.8 x + 2856.2

= 6.7(25)^2 + 37.8 (25) + 2856.2

= 7988.7

27.

= -4t^7 + 4t^5 + 12t

28.

= (9y^2 +9y -7)

29.

= (2x-2)+(7x+9)-(2x-8)

= 2x-2+7x+9-2x+8

= 7x+15

30.

= 7x-9+2x+8-9x+3

= 2

31.

= -1v^2 - 4v + 3

32.

= 40x ^3 -541x ^2 + 2052x + 5870

33.

(-8x5)(3x4)

-8x5(3x4)

-8x5 * 3x4

-8 * 3x5 * x4

-24x5 * x4

-24x9

34.

(2x9)(-5x6)(5x4)

2x9(-5x6)(5x4)

2x9 * -5x6(5x4)

2x9 * -5x6 * 5x4

2 * -5 * 5x9 * x6 * x4

-10 * 5x9 * x6 * x4

-50x9 * x6 * x4

-50x15 * x4

-50x19

35.

(x2 + 3x + -6)(-2x)

-6 + 3x + x2)(-2x)

(-6 + 3x + x2) * -2x

-2x(-6 + 3x + x2)

(-6 * -2x + 3x * -2x + x2 * -2x)

(12x + -6x2 + -2x3)

2x(6 + -3x + -1x2)

36.

= (7b ^3+14b ^2-14b) + (-20b ^3+4b ^2)

= 7b ^3+14b ^2-14b-20b ^3+4b ^2

=13b ^318b ^2-14b

37.

(x + 4)(x - 4)

((-16 + 4x) + x ( -4 + x))

(-16 + 4x + (-4x + x2))

(-16 + 0 + x2)

(-16 + x2)

38.

(3c + -1)(4c + 3)

(-1 + 3c)(4c + 3)

(-1 + 3c)(3 + 4c)

Multiply (-1 + 3c) * (3 + 4c)

(-1(3 + 4c) + 3c * (3 + 4c))

((3 * -1 + 4c * -1) + 3c * (3 + 4c))

((-3 + -4c) + 3c * (3 + 4c))

(-3 + -4c + (3 * 3c + 4c * 3c))

(-3 + -4c + (9c + 12c2))

(-3 + 5c + 12c2)

39.

x + -7)(x2 + -4x + 5)

(-7 + x)(x2 + -4x + 5)

(-7 + x)(5 + -4x + x2)

(-7(5 + -4x + x2) + x(5 + -4x + x2))

((5 * -7 + -4x * -7 + x2 * -7) + x(5 + -4x + x2))

((-35 + 28x + -7x2) + ...