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Big Ideas Math Integrated I, 2016

BI

Big Ideas Math Integrated I, 2016 View details

1-3. Quiz

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Exercise 4 Page 26

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

p=24

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other, using the Properties of Equality. In this case, we start by multiplying both sides of the equation by 4.

3/4p=18

MoveRightFacToNum

a/c* b = a* b/c

3p/4=18

LHS * 4=RHS* 4

3p/4*4=18*4

FracMultDenomToNumber

a/4* 4 = a

3p=18*4

Multiply

3p=72

To continue isolating p, we will divide both sides of the equation by 3. We are allowed to do this by the Division Property of Equality.

3p=72

.LHS /3.=.RHS /3.

3p/3=72/3

Calculate quotient

p=24

We will check our solution by substituting this result back into the original equation and simplifying. If doing so results in an identity, our solution is correct. An identity is when both sides of the equation are exactly the same.

3/4p=18

p= 24

3/4( 24)? =18

MoveRightFacToNum

a/c* b = a* b/c

3*24/4? =18

Multiply

72/4? =18

Calculate quotient

18=18

Since substituting p=24 resulted in an identity, our solution is correct.