jdlogo

jdlogo

jdlogo

jdlogo

jdlogo

Home

Real Numbers & Radicals

Basic Algebra & Polynomials

Linear Equations

Inequalities & Absolute Value

Rational Expressions 1

Rat'l. Exp. 2 - mult&div

Rat'l. Exp. 3 - add&subt

Exponents

Slope & Equations of Lines

Review&Test

 

jdsmathnotes

 


UNIT 1  : ALGEBRA PREP

 LESSON 10: CHAPTER TEST SOLUTIONS

 

Solutions:

                       

1. Simplify.

a)  (2x2 –3x-7) – (5x2 – 6x –9)             b)  4x(2x – 3) – 2x(3x + 5) + x(3x – 1)            c)  3(2a – 3b)2 – (3a + b)(2a – 3b)

 

Solutions:

a)  (2x2 –3x-7) – (5x2 – 6x –9)             b)  4x(2x – 3) – 2x(3x + 5) + x(3x – 1)            c)  3(2a – 3b)2 – (3a + b)(2a – 3b)

    =2x2 – 3x –7 –5x2 +6x + 9                   = 8x2 – 12x –6x2 –10x +3x2 – x                       = 3(4a2 – 12ab + 9b2) – (6a2 – 7ab – 3b2)

    = -3x2 +3x + 2                                     = 5x2 –23x                                                       = 12a2 – 36ab + 9b2 – 6a2 + 7ab + 3b2

                                                                                                                                        = 6a2 –29ab +12b2

 

2. Simplify.  State any restrictions.

                                                

 

Solutions:

                       

 

 

 

 

                                                                           

Solutions:

 

 

 

 

 

3.  Solve and graph.

                       

Solutions:

 

 

 

 

 

Solutions:

 

 

 

 

 

            

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Return to top of page

Click here to return to Chapter Summary

Click here to return to Chapter Test