Polynomials 3 — Basic Algebra

Questions in this quiz (10)

1. Multiply: $$-3x^2(x+4xy)$$

   • $$-12x^3-3xy$$
   • $$-3x^3+12x^3y$$
   • $$-3x^2-12xy$$
   • $$-3x^3-12x^3y$$

2. Multiply: $$(4m^2+5)(2m^2-3)$$

   • $$8m^4-2m^2-15$$
   • $$8m^4+14m^2-15$$
   • $$6m^4+14m^2+15$$
   • $$8m^4+2m^2-15$$

3. Which of the following expressions is equal to: $$(5x^2y)(4x^3z)?$$

   • $$20x^6yz$$
   • $$9x^5yz$$
   • $$20x^5yz$$
   • $$20x^5y^2z$$

4. Sarah has $$3ab^2$$ notebooks, and Mark has $$5a^2b$$ notebooks. Which expression represents the product of the numbers of notebooks they have?

   • $$15a^2b^2$$
   • $$8a^3b^3$$
   • $$15a^3b^3$$
   • $$15a^3b^2$$

5. Which of the following expressions is equal to: $$(2xy+5)(4xy-3)?$$

   • $$8x^2y^2+2xy+15$$
   • $$8x^2y^2-2xy-15$$
   • $$6x^2y^2+14xy-15$$
   • $$8x^2y^2+14xy-15$$

6. Which of the following equals $$(2a+b-c)-(-a+3b-c)?$$

   • $$a-2b$$
   • $$3a-2b$$
   • $$3a+4b-2c$$
   • $$a+2b$$

7. Which of the following equals: $$(4m^2+5n-2p)+(3m^2-2n+6p)?$$

   • $$m^2+7n+8p$$
   • $$7m^2+3n+4p$$
   • $$7m^2+7n-8p$$
   • $$12m^4+3n+4p$$

8. Which of the following is equal to: $$\frac{24m+18n}{6}?$$

   • $$4m+3n$$
   • $$18m+24n$$
   • $$4m+18n$$
   • $$24m+3n$$

9. Emma has $$36x$$ pencils, Noah has $$48y$$ pencils, and Liam has $$60z$$ pencils. Which expression represents the average number of pencils they have?

   • $$12x+16y+20z$$
   • $$36x+48y+60z$$
   • $$28x+28y+28z$$
   • $$12x+48y+20z$$

10. Which of the following expressions is equal to: $$\frac{3k^2-9k+3(k+5)-15}{3k}?$$

    • $$k-2$$
    • $$k+2$$
    • $$3k-2$$
    • $$k-5$$