Math 7 Honors - Operations with Monomials Review

Simplify:  $\frac{\left(-5a^2b^5c^3\right)^2\left(2a^3b\right)^3}{\left(5ab^2c\right)\left(-2b^4c^2\right)^2}+\frac{\left(2b\right)^3\left(a^{10}c\right)\left(14a^{11}b^4c^5\right)}{\left(7a^2bc^3\right)\left(-4a^7b^3c^2\right)}$  

Express the shaded area in simplest form.

Express the volume in simplest form.

Tags

CCSS.8.EE.A.2

A cylinder's diameter can be represented by  $18m^4n^2$  and its height by  $5m^3n$ . Find the volume of the cylinder in terms of  $\pi$ .

Tags

CCSS.8.EE.A.2

The volume of a rectangular prism is  $72r^7s^5t^2$  cubic units. If the length is  $12r^3s^2$  units and the height is  $3rs$  units, find the width of the rectangular prism.

Tags

CCSS.8.EE.A.2

Fill in the "?" with the missing monomial.

 $\left(?\right)\left(-8x^4y^6z^9\right)=-112xy^2z^9$  

Tags

CCSS.HSA.APR.A.1

Fill in the missing "?" with the missing monomial.

 $-16ab^7c\ +\ ?=9ab^7c$  

Tags

CCSS.7.EE.A.1

Fill in the "?" with the missing monomial.

 $\left(?\right)^3=-8x^{21}y^{15}z^3$  

Tags

CCSS.8.EE.A.2

Fill in the "?" with the missing monomial.


 $\frac{55b^4c^3}{?}=11bc$  

Which is equivalent to  $r^4s^8$ ?

•  $\left(rs\right)^{12}$  

•  $\left(r^4s^4\right)^2$  

•  $\left(rs^2\right)^4$  

•  $r^4+s^4+s^4$  

Tags

CCSS.HSA.APR.A.1