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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 21 Page 475

Start by using the Subtraction Property of Equality.

b = 36

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 Multiplication Property of Equality.

15 - 1/2b = - 3

LHS-15=RHS-15

15 - 1/2b - 15 = - 3 - 15

Subtract terms

- 1/2b = - 18

LHS * (- 1)=RHS* (- 1)

- 1/2b * (- 1)= - 18* (- 1)

MultNegNegOnePar

- a(- b)=a* b

1/2b = 18

LHS * 2=RHS* 2

1/2b* 2 = 18 * 2

FracMultDenomToNumber

a/* = a

b = 18* 2

Multiply

b = 36

The solution to the equation is b = 36. We can check our solution by substituting it into the original equation.

15 - 1/2b = - 3

b= 36

15 - 1/2* 36 ? = - 3

MoveRightFacToNumOne

1/b* a = a/b

15 - 36/2? = - 3

Multiply

15 - 18 ? = - 3

Subtract term

- 3 = - 3 ✓

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