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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 17 Page 475

Start by using the Subtraction Property of Equality.

m=- 4

Practice makes perfect

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

6m + 1 = - 23

LHS-1=RHS-1

6m + 1 - 1 = - 23 - 1

Subtract terms

6m = - 24

.LHS /6.=.RHS /6.

6m/6 = - 24/6

MoveNegNumToFrac

Put minus sign in front of fraction

6m/6 = - 24/6

Calculate quotient

m = - 4

The solution to the equation is m = - 4. We can check our solution by substituting it into the original equation.

6m + 1 = - 23

m= - 4

6( - 4) + 1 ? = - 23

a(- b)=- a * b

- 24 + 1 ? = - 23

Add terms

- 23 = - 23 ✓

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