Advanced Math: Equivalent expressions — Quiz 5

Questions in this quiz (10)

1. Which expression is equivalent to $$\frac{x^7y^{-3}}{x^2y^{-5}}$$?

   • $$x^5y^2$$
   • $$x^5y^{-8}$$
   • $$x^9y^2$$
   • $$x^5y^{-2}$$

2. $$3x^2+kx-18$$If the expression above can be factored as $$(3x-6)(x+m)$$, what is the value of $$k$$?

   • $$-12$$
   • $$-6$$
   • $$3$$
   • $$12$$

3. Which expression represents the product of $$(x^2y^{-3})(x^{-4}y^5+x^3y^{-2})$$?

   • $$x^{-2}y^2+x^{-1}y^{-5}$$
   • $$x^{-2}y^2+x^5y^{-5}$$
   • $$x^{-6}y^2+x^{-1}y^{-5}$$
   • $$x^{-2}y^8+x^5y^{-5}$$

4. $$g(x)=\frac{2}{3}x+5$$$$h(x)=3x-4$$Which expression is equivalent to $$g(x)\cdot h(x)$$?

   • $$2x^2+7x-20$$
   • $$2x^2+11x-20$$
   • $$2x^2+\frac{37}{3}x-20$$
   • $$2x^2+7x+20$$

5. $$(\frac{3}{2}x+4)(\frac{2}{3}x-1)$$The expression above is equivalent to $$ax^2+bx+c$$. What is the value of $$b$$?

   • $$\frac{7}{6}$$
   • $$\frac{1}{6}$$
   • $$\frac{5}{6}$$
   • $$\frac{1}{3}$$

6. If $$p=2x-1$$ and $$q=3x+4$$, which of the following is equivalent to $$pq+p-q$$?

   • $$6x^2+5x-1$$
   • $$6x^2+9x-5$$
   • $$6x^2+4x-9$$
   • $$6x^2+5x+3$$

7. Which expression is equivalent to $$x^4-5x^2+4$$?

   • $$(x^2-1)(x^2-4)$$
   • $$(x^2-2)(x^2-3)$$
   • $$(x^2+1)(x^2-4)$$
   • $$(x^2-5)(x^2+1)$$

8. $$f(x)=x^2+bx$$$$g(x)=4x^2-8x$$If $$f(x)\cdot g(x)=4x^4-12x^3+8x^2$$, what is the value of $$b$$?

   • $$-1$$
   • $$-2$$
   • $$-3$$
   • $$-4$$

9. The sum of $$4x^2-3x+7$$ and $$-x^2+5x-2$$ can be written as $$ax^2+bx+c$$. What is the value of $$a+b+c$$?

   • 10

10. $$(2x-5)(4x+3)$$The expression above is equivalent to $$ax^2+bx+c$$. What is the value of $$b$$?

    • -14