SINAL SHEET GR 10

The equation 
xy =  25  represents:

• direct variation
• inverse variation
• joint variation
• none of these

Suppose y varies inversely with x.
If y = 150 when x = 2, find y when x = 25.

• 300
• 75
• 1,875
• 12

Complete Step 1: KFC (Keep, Flip, Change)
 $\frac{3\left(x-9\right)}{x^2-36}\div\frac{x-9}{x^2-x-30}$  

•  $\frac{x^2-36}{3\left(x-9\right)}\cdot\frac{x^2-x-30}{x-9}$  

•  $\frac{3\left(x-9\right)}{x^2-36}\cdot\frac{x^2-x-30}{x-9}$  

Factor:

x² - 9

• (x + 3)(x - 3)

• (x + 3)²

• (x - 3)²

• (x+3)(x+3)

Factor completely: x²-6x+8

• (x-2)(x-4)
• (x-1)(x-8)
• (x+2)(x+4)
• (x+1)(x+8)

Multiply and Simplify

• $\frac{4\left(x+3\right)}{\left(x+2\right)}$

• $\frac{\left(x+2\right)}{4\left(x+1\right)}$

• $\frac{\left(x+2\right)}{4\left(x+3\right)}$

• $\frac{4\left(x+1\right)}{\left(x+2\right)}$

Multiply and Simplify

• $\frac{\left(5a-25\right)}{\left(a-5\right)\left(a+9\right)}$

• $\frac{5}{\left(a+9\right)}$

• $\frac{\left(5a-25\right)}{\left(a+9\right)}$

• $\frac{1}{\left(a+9\right)}$

Divide and simplify:

 $\frac{7}{x^2+15x+50}\div\frac{1}{x+10}$  

•  $\frac{x-3}{x+3}$  

•  $\frac{x-3}{7}$  

•  $3$  

•  $\frac{7}{x+5}$  

Divide and Simplify

• $\frac{1}{6}$

• $\frac{\left(x+10\right)}{\left(6x+60\right)}$

• $\frac{\left(x+8\right)}{\left(6x+60\right)}$

• $\frac{\left(x+10\right)\left(x+8\right)}{\left(6x+60\right)}$

Complete and simplify:

 $\frac{x+9}{3x+2}\times\frac{x+8}{x+9}\div\frac{x+8}{3x+2}$  

•  $\frac{\left(x+8\right)^2}{\left(3x+2\right)^2}$  

•  $\frac{\left(x+8\right)^2\left(x+9\right)}{\left(3x+2\right)^2\left(x+9\right)}$  

•  $1$  

•  $\frac{\left(x+9\right)\left(x+8\right)\left(3x+2\right)}{\left(3x+2\right)\left(x+9\right)\left(x+8\right)}$