Sample quiz on the distributive property
Main home here.

1. The distributive property states that $a(b+c)=\cdots$?
   
   $ab+ac$
   $ab+c$
   $b+ac$
   $abc$
   
2. Which of the following equations is correct?
   
   $a(b-c)=ab-ac$
   $a(b-c)=ab-c$
   $a(b-c)=b-ac$
   $a(b-c)=-abc$
3. The expansion of $2(x-23)$ is $\cdots$?
   
   $2x-23$
   $2x+46$
   $2x-46$
   $x-46$
4. Expand $3x(x-5)$
   
   $3x^2-15$
   $3x^2-15x$
   $3x^2-5x$
   $3x-15x^2$
5. Expand $-2z(3x+19)$
   
   $-2xz+38z$
   $-2xz-38z$
   $-6xz+38z$
   $-6xz-38z$
6. Expand $-5x^2(-2x-7)$
   
   $10x^2+35x$
   $10x^3+35x^2$
   $-10x^3-35x^2$
   $-10x^3+35x^2$
7. Find the area of a rectangle whose length is $(x+5)$ cm and whose width is $3x$ cm.
   
   $3x^2+15$ cm$^{2}$
   $6x^2+30x$ cm$^{2}$
   $3x^2+15x$ cm$^{2}$
   $3x^2+15x$ m$^{2}$.
8. Find the area of a triangle whose base is $(5x+3)$ m and whose height is $4x$ m.
   
   $20x^2+12x$ cm$^{2}$
   $20x^2+12x$ m$^{2}$
   $10x^2+6x$ cm$^{2}$
   $10x^2+6x$ m$^{2}$
9. Expand $-2xy(x^2-3xy-4y^2)$
   
   $-2x^3y-6x^2y^2+8xy^3$
   $-2x^3y+6x^2y^2-8xy^3$
   $-2x^3y+6x^2y^2+8xy^3$
   $-2x^3y-6x^2y^2-8xy^3$
10. One face of a cube has an area of $(3x+8)$ cm$^{2}$. What is the total surface area of the cube?
    
    $3x+8$ cm$^{2}$
    $6x+16$ cm$^{2}$
    $18x+48$ cm$^{2}$
    $18x-48$ cm$^{2}$