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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

5. Make Two-Step Equations

Finish the assignment

Continue to next subchapter

Exercise 1 Page 484

Start by using the Division Property of Equality.

p=2

Practice makes perfect

To solve an equation, we should isolate the variable term. In this case, we will use the Division Property of Equality and Subtraction Property of Equality.

2(p + 7) = 18

.LHS /2.=.RHS /2.

2(p+7)/2 = 18/2

CancelCommonFac

Cancel out common factors

2(p+7)/2 = 18/2

Simplify quotient

p + 7 = 18/2

Calculate quotient

p + 7 = 9

LHS-7=RHS-7

p + 7 - 7 = 9 - 7

Subtract terms

p = 2

The solution to the equation is p = 2. We can check our solution by substituting it into the original equation.

2(p + 7) = 18

p= 2

2( 2 + 7) ? = 18

Add terms

2* 9 ? = 18

Multiply

18 = 18 ✓

Since the left-hand side is equal to the right-hand side, our solution is correct.

Subchapter links

Guided Practice p.484

Independent Practice p.485-486

H.O.T. Problems p.486

Standardized Test Practice p.486-488

Extra Practice p.487

Common Core Review p.488