"

11.1 Homework Problems: Introduction to Rational Expressions

1. Find the LCM of the following sets

a.  {16y5w7u6 , 3y4w3}

b.  {3w3x8 , 2y4w5x2}

2. State any restrictions on the following (x ≠ ?)

a.  [latex]\frac{5}{3x-1}[/latex]

b.  [latex]\frac{x^2-4}{x^2-5x-6}[/latex]

3. Reduce to the lowest terms and state any restrictions

a.  [latex]\frac{9x^2y^3}{12xy^4}[/latex]

b.  [latex]\frac{9\ -\ 3x}{4x\ -\ 12}[/latex]

c.  [latex]\frac{xy\ -\ 3y\ +\ 2x\ -\ 6}{y^2\ -\ 4\ }[/latex]

d.  [latex]\frac{6x^2+\ 4x}{3xy\ +\ 2y}[/latex]

e.  [latex]\frac{2x-10}{3x-15}[/latex]

f.  [latex]\frac{x^3-64}{x^2-16}[/latex]

g.  [latex]\frac{7(3y+4)(y+4)}{35(y-3)(3y+4)}[/latex]

h. [latex]\frac{14\left(x-4\right)^5{(2x-7)}^2}{21\left(2x-7\right)^4{(x-4)}^3}[/latex]

i.  [latex]\frac{x^2+12x+36}{x+6}[/latex]

Unit 11.1 Homework Printable Copy

License

ESET1140: Intermediate Technical Algebra Copyright © 2024 by froenico. All Rights Reserved.