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  • Rational expressions
  • Operations with Rational Expressions
  • Add and Subtract Rational Expressions

Add and Subtract Rational Expressions

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  • Question 1:
    1 pts
    		Add and simplify. $$\dfrac{2}{t+3} + \dfrac{4}{t+3} $$
    $\dfrac{8}{t+3}$
    $\dfrac{t+3}{6}$
    $\dfrac{6}{t+3}$
    $\dfrac{6}{2(t+3)}$
  • Question 2:
    1 pts
    		Substract and simplify. $$\dfrac{3}{2a^{2}} - \dfrac{1}{2a^{2}} $$

    $\dfrac{2a^{2}}{3}$

    $\dfrac{a^{2}}{2}$

    $\dfrac{3}{2a^{2}}$

    $\dfrac{1}{1a^{2}}$

  • Question 3:
    1 pts
    		$$ \dfrac{6}{x-5}+\dfrac{x+2}{x-5}=\dfrac{6x+12}{x-5}$$
  • Question 4:
    1 pts
    		Find the least common denominator. $$\dfrac{2}{x^{2}} -\dfrac{3}{7x} $$
    $7$
    $7x$
    $7x^{2}$
    $7x^{3}$
  • Question 5:
    2 pts
    		Substract and simplify. $$\dfrac{1}{x} - \dfrac{1}{x-1} $$

    $\dfrac{1}{x-1}$

    $\dfrac{-1}{x(x-1)}$

    $\dfrac{-1}{(x-1)}$

    $\dfrac{-1}{x(x+1)}$

  • Question 6:
    2 pts
    		Add and simplify. $$\dfrac{a-b}{a^{2}} + \dfrac{1}{a} $$

    $\dfrac{a-b}{a^{2}}$

    $\dfrac{2a+b}{a^{2}}$

    $\dfrac{2a-b}{a^{2}}$

    $\dfrac{a-b}{a}$

  • Question 7:
    1 pts
    		$$ \dfrac{1}{x}+\dfrac{1}{y}=\dfrac{1}{x+y}$$
  • Question 8:
    2 pts
    		Substract and simplify. $$\dfrac{x-1}{4x} - \dfrac{2x-13}{x} $$
    $\dfrac{7x+13}{4x}$
    $\dfrac{-7x+51}{4x}$
    $\dfrac{7x-13}{4x}$
    $\dfrac{-7x-51}{4x}$
  • Question 9:
    3 pts
    		Substract and simplify. $$\dfrac{4-a^{2}}{a^{2}-9} - \dfrac{a-2}{3-a} $$
    $\dfrac{a-2}{a^{2}+9}$
    $\dfrac{a-2}{a^{2}-9}$
    $\dfrac{a+2}{a^{2}-9}$
    $\dfrac{a+2}{a-3^{2}}$
  • Question 10:
    3 pts
    		Find the least common denominator. $$\dfrac{7}{3x^{2}-6x} +\dfrac{x^{2}}{x^{2}-4x+4} $$
    $3x \cdot (x-2)^{2}$
    $x \cdot (x-2)^{2}$
    $3x \cdot (x+2)^{2}$
    $3 \cdot (x-2)^{2}$

Basics of polynomials

Polynomials Operations

Roots of polynomials

Factoring Polynomials

Graphing Polynomials

Rational exp. operations