MATH 7_ACTIVITY_Q2

What is $\frac{6x}{5y}\times\frac{10y^2}{12}$  ?

•  $xy$  

•  $2xy$  

•  $2x$  

• None of the choices
  

Which of the following is a rational expression in simplest form?

• $\frac{2y}{4x}$

• $\frac{2𝑥−6}{34}$

• $\frac{𝑎^2−1}{𝑎^3+1}$

• $\frac{2𝑎^2+7𝑎−4}{a+2}$

Multiply the two rational expressions and simplify the result $\frac{x-1}{x-2}\cdot\frac{2}{x+2}$  

•  $\frac{1}{x-2}$  

•  $\frac{2x−2​}{x^2-4}$  

•  $\frac{x-1}{x^2-2x}$  

•  $\frac{1}{x}$  

Multiply and Simplify $\frac{x+3}{4}\cdot\frac{x+2}{x^2+4x+3}$  

•  $\frac{4x+12}{x+2}$  

•  $\frac{x+2}{4x+12}$  

•  $\frac{x+2}{4x+4}$  

•  $\frac{4x+4}{x+2}$  

Multiply $\frac{\left(x-5\right)\left(x-8\right)}{x+1}\cdot\frac{x+1}{\left(x+5\right)\left(x-8\right)}$  

• 1

•  $\frac{x-5}{x+5}$  

•  $\frac{x-8}{x+5}$  

•  $\frac{x+1}{x+5}$  

What is the divisor in the given expression $\frac{2x-5}{4}\div\frac{x+3}{4}$  

•  $\frac{x+3}{4}$  

•  $\frac{2x-5}{4}$  

•  $\frac{x+3}{2x-5}$  

•  $\frac{2x-5}{x+3}$  

What is the quotient when $\frac{𝑟+9}{r-2}$  is divided by  $\frac{2𝑟+1}{r-2}$  

•  $\frac{𝑟−2}{2r}$  

•  $\frac{𝑟+2}{2r-1}$  

•  $\frac{𝑟−9}{2r}$  

•  $\frac{𝑟+9}{2r+1}$  

Your classmate divided rational algebraic expressions as presented.

Is your classmate’s solution correct?

• Yes. The solution presented is correct.

• Yes. Common factors can be directly divided out.

• $No.The\ correct\ answer\ is\ \frac{4}{\left(x+3\right)^2}$
  

• No. Get the reciprocal of the divisor first, then multiply.

What is the lowest term of  $\frac{x^2y^3}{x^3y^2}$  ?

•  $\frac{x}{y}$  

• 1

• xy

•  $\frac{y}{x}$  

• 2