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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 10 Page 473

Start by using the Addition Property of Equality.

m = 1.95

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.

8m - 5.5 = 10.1

LHS+5.5=RHS+5.5

8m - 5.5 + 5.5 = 10.1 + 5.5

Add terms

8m = 15.6

.LHS /8.=.RHS /8.

8m/8 = 15.6/8

Calculate quotient

m = 1.95

The solution to the equation is m = 1.95. We can check our solution by substituting it into the original equation.

8m - 5.5 = 10.1

m= 1.95

8( 1.95) - 5.5 ? = 10.1

Multiply

15.6 - 5.5 ? = 10.1

Subtract term

10.1 = 10.1 ✓

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