Polynomials 4 — Basic Algebra

Questions in this quiz (10)

1. Divide: $$\frac{45x^3+30x^2-15x}{15x}$$

   • $$3x^3+2x^2-1$$
   • $$3x^2+2x-1$$
   • $$3x^2+2x+1$$
   • $$x^2+2x-1$$

2. Divide: $$\frac{6y^3+9y^2-3y}{3y}$$

   • $$6y^2+9y-3$$
   • $$2y+3-1$$
   • $$2y^2+3y-1$$
   • $$2y^2+3y+1$$

3. If $$a\ne0$$, $$b=3$$, and $$c=5$$, which of the following is equal to $$\frac{c^2a+b^2a}{ba}?$$

   • $$9$$
   • $$34$$
   • $$17$$
   • $$\frac{34}{3}$$

4. For what value of $$t$$ is the expression undefined? $$\frac{5}{t-8}$$

   • $$5$$
   • $$8$$
   • $$-8$$
   • $$0$$

5. Simplify: $$(4x^2+3xy)(y)-(2xy-5x)(3xy)$$

   • $$4x^2y-6xy^2+15x$$
   • $$19x^2y-3xy^2$$
   • $$-6x^2y^2+19x^2y+3xy^2$$
   • $$19x^2y+3xy^2$$

6. There are $$5x$$ students in a class. If the average score on a quiz is $$4x+2$$ points, what expression represents the total number of points earned by the class?

   • $$20x^2+10x$$
   • $$9x+2$$
   • $$20x+10$$
   • $$4x^2+2x$$

7. What is the value of: $$\frac{36xy+54y^2}{9y}$$ when $$x=4$$ and $$y=2$$?

   • $$18$$
   • $$20$$
   • $$36$$
   • $$28$$

8. Simplify: $$\frac{4x(x^2+5)-3(x^2+5)}{x^2+5}$$

   • $$4x-3$$
   • $$x-3$$
   • $$4x+3$$
   • $$x+5$$

9. A town has $$2m$$ households, and a nearby town has $$5m$$ households. If each household uses $$m+8$$ gallons of water per day, which expression represents the total gallons of water used by both towns each day?

   • $$10m+8$$
   • $$7m^2+56m$$
   • $$7m+8$$
   • $$35m^2+8m$$

10. Simplify: $$\frac{5x^2(x-y)-3(x-y)^2-x(x-y)}{x-y}$$

    • $$5x^2-4x+3y$$
    • $$5x^2-2x-3y$$
    • $$5x^2-4x-3y$$
    • $$5x^2-3x+y$$