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Glencoe Math: Course 2, Volume 2

GM

Glencoe Math: Course 2, Volume 2 View details

4. Solve Two-Step Equations

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Exercise 5 Page 473

Start by using the Addition Property of Equality.

w=- 3

Practice makes perfect

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

- 4w - 4 = 8

LHS+4=RHS+4

- 4w - 4 + 4 = 8 + 4

Add terms

- 4w = 12

.LHS /- 4.=.RHS /- 4.

- 4w/- 4 = 12/- 4

MoveNegNumToFrac

Put minus sign in front of fraction

- 4w/- 4 = - 12/4

Calculate quotient

w = - 3

The solution to the equation is w = - 3. We can check our solution by substituting it into the original equation.

- 4w - 4 = 8

w= - 3

- 4( - 3) - 4 ? = 8

MultNegNegOnePar

- a(- b)=a* b

12 - 4 ? = 8

Subtract term

8 = 8 ✓

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

Subchapter links

Guided Practice p.472

Independent Practice p.473-474

H.O.T. Problems p.474

Standardized Test Practice p.474-476

Extra Practice p.475

Common Core Review p.476