Advanced Math: Equivalent expressions — Quiz 2

Questions in this quiz (10)

1. Which expression is equivalent to $$x^2+5x-24$$?

   • $$(x+8)(x-3)$$
   • $$(x+6)(x-4)$$
   • $$(x-8)(x+3)$$
   • $$(x-6)(x+4)$$

2. The expression $$3x^2+ax$$ is equivalent to $$x(3x+9)$$ for some constant $$a$$. What is the value of $$a$$?

   • $$3$$
   • $$6$$
   • $$9$$
   • $$12$$

3. Which expression is equivalent to $$12x^2y+18xy$$?

   • $$6xy(2x+3)$$
   • $$3xy(4x+6)$$
   • $$12xy(x+18)$$
   • $$6x^2y(2+3)$$

4. Which expression is equivalent to $$4x^5-8x^4+12x^3$$?

   • $$4x^3(x^2-2x+3)$$
   • $$4x^2(x^3-2x^2+3x)$$
   • $$4x^3(x^2-2x+12)$$
   • $$2x^3(2x^2-4x+6)$$

5. Which expression is equivalent to $$(3x^2-5)-(x^2-2x+7)$$?

   • $$2x^2+2x-12$$
   • $$2x^2-2x-12$$
   • $$4x^2-2x-12$$
   • $$2x^2+2x+12$$

6. Which of the following expressions is equivalent to the sum of $$(x^3+2x^2+5)$$ and $$(3x^2+4x+6)$$?

   • $$x^3+5x^2+4x+11$$
   • $$x^3+6x^2+4x+11$$
   • $$x^3+5x^2+9x+11$$
   • $$x^3+5x^2+4x+6$$

7. Which expression is equivalent to $$(7x^3+2x+1)+(3x^3+5x^2-4)$$?

   • $$10x^3+5x^2+2x-3$$
   • $$10x^3+5x^2+2x+5$$
   • $$10x^6+5x^2+2x-3$$
   • $$4x^3+5x^2+2x-3$$

8. Given $$(3x^2+2x)(x^2-x)$$, which of the following is equivalent to the expression above?

   • $$3x^4-x^3-2x^2$$
   • $$3x^4-3x^3-2x^2$$
   • $$3x^4-x^3-2x$$
   • $$3x^4-x^2-2x^2$$

9. Which expression is equivalent to $$(m^3n^2)(m^2n^5)$$, where $$m,n>0$$?

   • $$m^5n^7$$
   • $$m^6n^7$$
   • $$m^3n^6$$
   • $$m^6n^5$$

10. Which of the following is equivalent to $$5(x^2+2x)+2(x^2+2x)$$?

    • $$7x^2+14x$$
    • $$5x^2+10x$$
    • $$7x^2+2x$$
    • $$10x^2+14x$$