Loading...

Lesson 51: Simplifying Rational Expressions with Like Denominators — Practice Questions

  1. 1. Simplify the expression $2b^{-5} + \frac{11}{b^5}$. Write your answer using only positive exponents. ___

  2. 2. Simplify the expression $\frac{8m}{n^3} - \frac{15m}{n^3}$.

    • A. $\frac{-7m}{n^3}$
    • B. $\frac{7m}{n^3}$
    • C. $-7m$
    • D. $\frac{-7m}{n^6}$
  3. 3. Simplify $10z^{-2} - \frac{6}{z^2}$. Write the result using only positive exponents. ___

  4. 4. Which expression is equivalent to $8pq^{-3} + \frac{3p}{q^3}$?

    • A. $\frac{11p}{q^3}$
    • B. $\frac{11p}{q^6}$
    • C. $11pq^3$
    • D. $\frac{5p}{q^3}$
  5. 5. Which expression is equivalent to $5k^{-4}$?

    • A. $\frac{5}{k^4}$
    • B. $\frac{1}{5k^4}$
    • C. $-20k$
    • D. $5k^4$
  6. 6. What is the excluded value for the rational expression $\frac{a-4}{a+10}$? The excluded value is $a = \_\_\_$.

  7. 7. Which value of $y$ must be excluded from the domain of the expression $\frac{y+1}{3y-15}$?

    • A. 5
    • B. -1
    • C. -5
    • D. 15
  8. 8. For a rational expression, an excluded value is a number that makes which part of the expression equal to zero?

    • A. The numerator
    • B. The denominator
    • C. The entire expression
    • D. The variable
  9. 9. Find the excluded value for the expression $\frac{z-7}{5z+30}$. The excluded value is $z = \_\_\_$.

  10. 10. What is the excluded value for the rational expression $\frac{x-6}{x+6}$?

    • A. 6
    • B. -6
    • C. 0
    • D. 1