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McGraw Hill Glencoe Algebra 2, 2012 View details

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Exercise 2 Page 55

Apply inverse operations to isolate m.

G

Practice makes perfect

To solve the given formula for m, we will use the Properties of Equality to apply inverse operations on the equation. Remember, only like terms can be combined.

E=mc^2

▼

.LHS /c^2.=.RHS /c^2.

DivEqn

.LHS /c^2.=.RHS /c^2.

E/c^2=mc^2/c^2

CancelCommonFac

Cancel out common factors

E/c^2=mc^2/c^2

SimpQuot

Simplify quotient

E/c^2=m

RearrangeEqn

Rearrange equation

m=E/c^2

This corresponds to option G. Note that in this case, we were asked to solve for the mass m, given the formula for energy. A solution of m= Ec^2 means that we have solved for the mass of the object having the given energy.

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Exercise 2 Page 55

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