Multi-step equations
By: Toby Heaton
8/14/2019
1)
You and your friend are shopping for painting supplies. Your friend wants five bottles of paint
and one set of paint brushes. You want seven bottles of paint and two sets of paint brushes.
Each bottle of paint costs $3.69. If you and your friend’s total cost is $51.69, what is the cost
of one set of paint brushes?

2)
In physics the mass energy equivalence is that the mass of a body is measured by its energy
content. This may be written algebraically as E=mc2 , where E is energy, m is mass, and c is
the speed of light in a vacuum. Transform the equation so that it will be read as a solution
for mass, m. Show all the steps.

3)
The formula to find the surface area of a sphere is to take the radius of the sphere and
square it and multiply that amount by pi and then multiply that by 4. This is written
algebraically as S=4πr 2 , where S is the surface area, r is the radius, and the value of π is
3.14. Rewrite the equation to solve for the radius of the sphere if you know the sphere’s
surface area. Then estimate the radius of a sphere given a surface area of 500 meters2 .