P MATH 10 REVIEW FOR TEST #2

Answers

 

I Factoring

 

2y2 + 9y + 9

 

(2y + 3)(y+3)

3m2 + 10m + 3

 

(3m + 1)(m + 3)

5t2 + 7t + 2

 

(5t + 2)(t + 1)

2x2 + 11x + 14

 

(2x + 7)(x + 2)

2x2 – 5x – 3

 

(2x + 1)(x – 3)

3x2 – 5x + 2

 

(3x – 2)(x – 1)

6m2 – 13m + 6

 

(3m – 2)(2m – 3)

2x2 – x – 6

 

(2x + 3)(x – 2)

6x2 – 5x – 4

 

(3x – 4)(2x + 1)

 

II Factoring

 

 x2 ­– 9

 

(x + 3)(x – 3)

1 – 16t + 64t2

 

(1 – 8t)2

225b2 – a2

 

(15b + a)(15b – a)

 y3 – 36y

 

y(y + 6)(y – 6)

81x4 – 1

 

(9x2 + 1)(3x + 1)(3x – 1)

8x2 + 24x + 18

 

2(2x + 3)2

3b – 9ab2 + 6a2b

 

3b(1 – 3ab + 2a2)        

  x4 – 13x2 + 36

 

(x+3)(x–3)(x+2)(x–2)

4m2 + 20mn + 25n2

 

(2m + 5n)2

 

III For what values are the following not defined?

 

                                                        

 

x Ή 0                     x Ή 3/2                  x Ή 1, –4               x Ή 0, 3

 

 

IV  Simplify:

 

       4/5                   (x+2)/(x+3)                  –1

 

 

 

 

 

 

V  Multiply — divide

 

–9x2y3            –4ab/(9c)                   8/5

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

VI  Add—subtract

 

 

 

 

 

 

 

 

 

 

 

VII SOLVING EQUATIONS

 

                                     2(2x+1) + 6(2-x) + 3(3x – 1) = –3

 

-1/3                       –3                                  2

 

 

 

SOLVE FOR x

 

2ax = b                                    ax + by = 3                  2(X + 3) = X – B

 

b/(2a)                                       (3-by)/a                          -6-b

 

 

VOLUME and AREA

 

In Gulliver’s travels he comes to a land where all people are 12 times as tall.  How many times as heavy are they?  The strength of their bones is related to the cross sectional area of the bones.  How many times stronger are these giants?

Weight 123,   strength  122