# Project #71009 - Simple Intro to Algebra

1. Simplify to simplest form

(5aâ´+(5a+6)a2)(7a(3a36a2+5a)2(a+6)) =

Simplify to simplest form

2. (5x23)(7x2+2) =

3. (7z2+3zp−4p2)2 =

4. (3√q−2R4)3

5. Factor completely;

18x3 (y+5)−18x2 (−5−y)−12x(y+5) =

6: Factor completely, Enter the factors as a product of two binomials.

8y3+3y2−24y−9 =

7:

x2x30 =

8:

2w8+7w4x+6x2 =

9: Factor completely

56x2−58x+12 =

10:

4y2−12y+9 =

11:

16t2+40tx+25x22 =

12: Factor completely, Enter the factors as a product of two binomials.

16m1025n2 =

13: Factor completely, Enter the factors as a product of two binomials.

16q4+25r2 =

14: Factor completely.

64t3+1=

15:

125x3z927y3 =

16: solve, if multiple solutions separate with semicolons (;)

X2=−2x+15

X=

17: solve, if multiple solutions separate with semicolons (;)

5x2+13x=6

X=

18: find discriminant & identify the best description of the equation’s root(s)

6x2−5=−3x

1. 2 complex solutions b) 1 real solution c) 1 real and 1 complex root d) 2 real solutions e) 1 complex solution

19:

At a tennis club, a 14,250 ft2 Rectangular area partitioned into three rectangular courts of equal size.  A total of 790 feet of fencing is used to enclose the three courts, including the interior sides.

What are the possible dimensions, in feet, of the entire rectangular area? Select all that apply.

 (a) 95 feet by 150 feet (b) 47.5 feet by 150 feet (c) 100 feet by 142.5 feet (d) 23.75 feet by 600 feet (e) 300 feet by 47.5 feet

20:

A ladder of length 2x+3 feet is positioned against a wall such that the bottom is x−3 feet away from a wall. The distance between the floor and the top of the ladder is 2x feet.

Find the length, in feet, of the ladder.

Assume that a right angle is formed by the wall and the floor.

The length of the ladder is ____________feet.

21:

A small rock sits on the edge of a tall building. A strong wind blows the rock off the edge. The distance, in feet, between the rock and the ground t seconds after the rock leaves the edge is given by d=−16t2−7t+500.

If the answer is not an integer, enter it as a decimal. Round to the nearest hundredth, if needed.

How many seconds after the rock leaves the edge is it 446 feet from the ground?

____________    seconds

How many seconds after the rock leaves the edge does it hit the ground?

____________   seconds

 Subject Mathematics Due By (Pacific Time) 05/16/2015 08:00 am
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