Polynomials 1 — Basic Algebra

Questions in this quiz (10)

1. What is the sum of the exponents in the expression: $$6x^4+2x^3-7?$$

   • $$4$$
   • $$5$$
   • $$7$$
   • $$9$$

2. What is the sum of the coefficients in the expression: $$2a-4b+3c-d?$$

   • $$0$$
   • $$1$$
   • $$2$$
   • $$4$$

3. Combine like terms in the polynomial: $$5y^2+4x^3-9x^3$$

   • $$-5x^3+5y^2$$
   • $$13x^3+5y^2$$
   • $$-5x^3+y^2$$
   • $$5x^3+5y^2$$

4. Simplify the polynomial: $$6x^4-8x^2+2x^4+5x^2+4x+7-2x$$

   • $$8x^4-3x^2+2x+7$$
   • $$8x^4+13x^2+2x+7$$
   • $$4x^4-3x^2+2x+7$$
   • $$8x^4-3x^2+6x+7$$

5. Simplify: $$7x^2+5x-4+2x^2-3x+6$$

   • $$9x^2+2x+2$$
   • $$5x^2+8x+2$$
   • $$9x^2+8x+10$$
   • $$9x^2+2x-10$$

6. Simplify: $$-4x^2+9x+3+x^2-5x-8$$

   • $$-3x^2+4x-5$$
   • $$-5x^2+4x-5$$
   • $$-3x^2+14x-5$$
   • $$-3x^2+4x+11$$

7. What is the simplified form of the expression: $$4m^2n+6mn+2m^2n+5mn?$$

   • $$6m^2n+11mn$$
   • $$8m^2n+6mn$$
   • $$6m^2n+30mn$$
   • $$12m^3n^2+11mn$$

8. When simplified, how many terms are in the polynomial: $$a^2+b^3-4a^2+2b^3+5?$$

   • $$2$$
   • $$3$$
   • $$4$$
   • $$5$$

9. Add: $$(4x^2+3x-5)+(x^2-2x+8)$$

   • $$5x^2+x+3$$
   • $$5x^2+5x+3$$
   • $$3x^2+x+13$$
   • $$5x^2+x-13$$

10. Add: $$(6x^2+7x+2)+(3x^2-5x-6)$$

    • $$9x^2+2x-4$$
    • $$3x^2+12x-4$$
    • $$9x^2+12x+8$$
    • $$9x^2+2x+8$$