# 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$^{2}$