IA1 Unit 9 Rational Expressions D1-4

Simplify

• (x-9)/(x+9)
• 1/(x-9)
• (x+9)
• 1/(x+9)

Simplify  $\frac{1}{n+5}\times\frac{n^2+2n-15}{n-8}$  

•  $\frac{n-3}{n-8}$  

•  $\frac{n-3}{\left(n+5\right)\left(n-8\right)}$  

•  $\frac{n^2+2n-15}{\left(n+5\right)\left(n-8\right)}$  

•  $\frac{n^2+2n-14}{2n-3}$  

 $\frac{2a-20}{6a}\times\frac{a-9}{a-10}$  Simplify

•  $\frac{2a^2-180}{6a^2-60a}$  

•  $\frac{2\left(a-9\right)}{6a}$  

•  $\frac{a-9}{3a}$  

•  $\frac{3a-29}{7a-10}$  

 $\frac{2}{8m^3-64m^2}\div\frac{1}{8m^2}$  

•  $\frac{2}{m-64m^2}$  

•  $\frac{16m^2}{8m^2\left(m-8\right)}$  

•  $\frac{2}{64m^4\left(m-8\right)}$  

•  $\frac{2}{m-8}$  

Which value of x makes the expression undefined?

• -2
• 2
• -6
• -3

Given

 $\frac{\left(x+1\right)\left(x-7\right)}{\left(x-4\right)\left(x+3\right)}$  

What values will make the rational expression UNDEFINED?

•  $x=-1,\ x=7$  

•  $x=-1,\ x=4,\ x=7,\ x=-3$  

• None

•  $x=4\ ,\ x=-3$  

 $\frac{8-y}{z^2+5z}$  

Give the values for which the given rational expression is undefined?

•  $z=0\ \ \ \ and\ \ \ \ \ z=5$  

•  $z\ =0\ \ \ \ and\ \ \ \ z=-5$  

•  $z=0\ \ \ \ and\ \ \ \ z=-1$  

•  $z=0\ \ \ \ and\ \ \ \ z=1$  

What value(s) make the expression undefined?

• x = - 3 and x = 4
• x = 3 and x = - 4
• x = 3 only
• x = - 4 only

Simplify.  $\frac{8x+32}{x+4}$  

•  $\frac{8}{x-4}$  

•  $-\frac{x}{x-4}$  

• -8

• 8

Evaluate using the quotient rule: 

• a⁸b¹³
• a²b⁷
• a¹⁵b³⁰