Dividing Polynomial by Monomial

Complete the test and get an award.

Question 1 (1 point)
Simplify: [tex]\dfrac{81b^3}{9b^2}[/tex]

Question 2 (1 point)
Simplify: [tex]\dfrac{4x^2+2x}{2x}[/tex]

Question 3 (1 point)
Simplify: [tex]\dfrac{3a^2b+2a^3b^3}{a}[/tex]

Question 4 (1 point)
Simplify: [tex]\dfrac{6x+15a+21y+24}{3}[/tex]

Question 5 (2 points)
Fill in the missing number: [tex]\dfrac{12x^3-8x^2}{4x} = 3x^2 -[/tex]  [tex]x[/tex]
Question 6 (1 point)
Which of the following equalities is false?

Question 7 (1 point)
Simplify: [tex]\dfrac{6x^3-9x^2+3x}{-3x}[/tex]

Question 8 (1 point)
Which of the following equalities is false?

Question 9 (2 points)
A rectangle has an area of [tex]6x^2+9x[/tex] and a width of [tex]3x[/tex]. Its length is [tex]2x +[/tex] 
Question 10 (1 point)
The division [tex]\dfrac{10a^3-5a^2}{5a} = 2a^2-a[/tex] is checked by multiplication. Which product must be equal to [tex]10a^3-5a^2[/tex]?

Question 11 (1 point)
Which of the following equalities is true?

Question 12 (1 point)
Which polynomial belongs in the box?
[tex]\dfrac{\boxed{\phantom{0}}}{3y} = 2y^2-5[/tex]

Question 13 (2 points)
Simplify [tex]\dfrac{x^3+4x^2}{x^2}[/tex]. What is its value when [tex]x=-2[/tex]?
Answer:
Question 14 (1 point)
Simplify: [tex]\dfrac{8a^3b^2-12a^2b^3}{4a^2b}[/tex]

Question 15 (2 points)
Fill in the missing number: [tex]\dfrac{15x^4-10x^3+5x^2}{5x^2} = 3x^2-2x+[/tex] 

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