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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 2 Page 473

Start by using the Addition Property of Equality.

n=- 1/4

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.

- 3 + 8n = - 5

LHS+3=RHS+3

- 3 + 8n + 3= - 5 + 3

Add terms

8n = - 2

.LHS /8.=.RHS /8.

8n/8 = - 2/8

Calculate quotient

n = - 2/8

MoveNegNumToFrac

Put minus sign in front of fraction

n = - 2/8

a/b=.a /2./.b /2.

n = - 1/4

The solution to the equation is n=- 14. We can check our solution by substituting it into the original equation.

- 3 + 8n = - 5

n= - 1/4

- 3 + 8( - 1/4) ? = - 5

a(- b)=- a * b

- 3 - 8(1/4) ? = - 5

MoveLeftFacToNumOne

a* 1/b= a/b

- 3 - 8/4 ? = - 5

Calculate quotient

- 3 - 2 ? = - 5

Subtract term

- 5 = - 5 ✓

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