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  • Rational expressions
  • Operations with Rational Expressions
  • Reducing Rational Expressions

Reducing Rational Expressions

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  • Question 1:
    1 pts
    		Determine the value of the variable for which the rational expression is not defined. $$\dfrac{60x^{3}}{12x}$$
    $x = 0$
    $x = 30$
    $x=3$
    $x=12$
  • Question 2:
    1 pts
    		$$-\dfrac{x-2}{x-3}=\dfrac{2-x}{x-3}$$
  • Question 3:
    1 pts
    		$$\dfrac{z-5}{7-z}=\dfrac{5-z}{7-z}$$
  • Question 4:
    1 pts
    		Simplify expression. $$\dfrac{32n^{2}}{24n} $$
    $\dfrac{3n}{2}$
    $\dfrac{2n}{3}$
    $\dfrac{3n}{4}$
    $\dfrac{4n}{3}$
  • Question 5:
    2 pts
    		Simplify expression. $$\dfrac{15a-3}{24} $$

    $\dfrac{3a-1}{8}$

    $\dfrac{4a-1}{2}$

    $\dfrac{5a-1}{8}$

    $\dfrac{5a-1}{6}$

  • Question 6:
    2 pts
    		Simplify expression. $$\dfrac{x^{2}-16}{x-4} $$
    $x+2$
    $x-2$
    $x-4$
    $x+4$
  • Question 7:
    2 pts
    		Simplify the expression. $$\dfrac{j+8}{j^{2}-64} $$

    $\dfrac{1}{j+8}$

    $\dfrac{1}{j-8}$

    $\dfrac{1}{8-j}$

    $\dfrac{8-j}{1}$

  • Question 8:
    2 pts
    		Simplify the expression. $$\dfrac{4n-4}{6n-20} $$
    $\dfrac{2 \cdot (n-1)}{3n-10}$
    $\dfrac{ n-1}{3n-10}$
    $\dfrac{ (n-1)}{2 \cdot (3n-10)}$
    $\dfrac{ 2n-1}{ 3n-10}$
  • Question 9:
    3 pts
    		Simplify expression. $$\dfrac{x^{3}-x^{2}-42x}{2x^{2}-20x+42} $$
    $\dfrac{ 3 \cdot(x-6)}{2 \cdot (x-3)}$
    $\dfrac{ x \cdot(x-6)}{2 \cdot (x+3)}$
    $\dfrac{ x \cdot(x+6)}{2 \cdot (x-3)}$
    $\dfrac{ x \cdot(x-6)}{2 \cdot (x-3)}$
  • Question 10:
    3 pts
    		Which values of $y$ make the expression undefined? $$ \dfrac{3y^{2}-39y+90}{y^{2}-3y-70} $$

    $y = -7$ and $y=10$

    $y = 7$ and $y=10$

    $y = -7$ and $y=-10$

    $y = -7$ and $y=-10$

  • Question 11:
    3 pts
    		Simplify the expression. $$\dfrac{k^{2}-y^{2}}{3k+3y} $$
  • Question 12:
    1 pts
    		The domain of the rational expression $$ \frac{5x}{2x^{2}+8}$$ is all $x.$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations