# Algebraic Expressions: The Greatest Factor of All Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Algebraic Expressions**Q. What is the greatest common factor in the expression 6

*x*^{2}*y*+ 4*xy*- 10*y*- 20*y*^{2}?2

2

*y*2

*xy*6

*x*^{2}*y*None of the above

Q. What is the greatest common factor in the expression 9

*x*^{3}*yz*+ 6*x*^{2}*y*- 18*x*^{5}*z*?3

*x*3

*x*^{2}3

*x*^{5}18

*x*^{5}*z*None of the above

Q. Using the distributive property on the expression -(-2 + 5

*x*) produces - 2 - 5

*x* - 2 + 5

*x*2 - 5

*x*2 + 5

*x*None of the above

Q. Multiply 3

*a*(*a*+ 2*b*).3

*a*^{2}+ 2*b**a*+ 6

*ab*

3

*a*+ 6*ab*3

*a*^{2}+ 6*ab*None of the above

Q. Multiply out the expression using the distributive property. What is the greatest common factor in the resulting expression?

4

*x*2

*x*2

*x*^{2}4

*x*^{2}None of the above

Q. Factor the expression -2

*x*- 4*y*.- 2(

*x*+*y*) - 2(

*x*+ 2*y*)2(

*x*- 2*y*)2(

*x*- 2*y*)None of the above

Q. Which of the following statements is true?

3

*x*and 2*y*are terms in the expression 2*x*- 3*y*.3

*x*and 2*y*are factors in the expression (3*x*)(2*y*).3

*x*and 2*y*are terms in the expression (3*x*)(2*y*).3

*x*and 2*y*are factors in the expression 3*x*+ 2*y*.None of the above

Q. Factor

*abc*+ 3*a*^{2}*bc*+*ab*^{2}*c*^{3}.*abc*(3

*a*+

*bc*)

*abc*(3

*a*+

*bc*

^{2})

*abc*(1 + 3

*a*+ a

*bc*

^{2})

*abc*(1 + 3

*a*+

*bc*

^{2})

None of the above

Q. Factor π

*a*+ π^{2}*b*+ π*c*^{2}.π(

*a*+ π*b*+*c*^{2})π(

*a*+*b*+*c*^{2})(π

*a*+ π^{2}*b*+ π*c*^{2})π (

*a*+*b*^{2}+*c*^{2})None of the above

Q. Which of the following multiplies out to give the expression

*ax*^{2}+*bx*+*c*?*a*(

*x*

^{2}+

*abx*+

*acx*)

None of the above