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Pearson Geometry Common Core, 2011

PG

Pearson Geometry Common Core, 2011 View details

Mid-Chapter Quiz

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Exercise 5 Page 459

You can solve for the variable by using cross products.

34/7 or 34:7

Practice makes perfect

To solve the proportion, we will start by using cross products. Remember that we will need to treat x-2 as a single quantity in the cross multiplication process.

5/7=x-2/4

Cross multiply

5*4=7(x-2)

Multiply

20=7(x-2)

Rearrange equation

7(x-2)=20

From here, we will continue solving for x by using the Distributive Property and the Properties of Equality.

7(x-2)=20

Distribute 7

7x-14=20

LHS+14=RHS+14

7x=34

.LHS /7.=.RHS /7.

x=34/7