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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 4 Page 473

Start by using the Subtraction Property of Equality.

s=- 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.

- 8s + 1 = 33

LHS-1=RHS-1

- 8s + 1 - 1 = 33 - 1

Subtract terms

- 8s = 32

.LHS /- 8.=.RHS /- 8.

- 8s/- 8 = 32/- 8

MoveNegDenomToFrac

Put minus sign in front of fraction

- 8s/- 8 = - 32/8

Calculate quotient

s = - 4

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

- 8s + 1 = 33

s= - 4

- 8( - 4) + 1 ? = 33

MultNegNegOnePar

- a(- b)=a* b

32 + 1 ? = 33

Add terms

33 = 33 ✓

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