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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

4. Solving Equations With Variables on Both Sides

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Exercise 34 Page 106

Gather all of the variable terms on one side of the equation and all of the constant terms on the other side.

No solution

Practice makes perfect

To solve an equation, we should first gather all of the variable terms on one side and all of the constant terms on the other side using the Properties of Equality.

3d+4=2+3d-1/2

CommutativePropAdd

Commutative Property of Addition

3d+4=3d+2-1/2

a = 2* a/2

3d+4=3d+4/2-1/2

Subtract fractions

3d+4=3d+3/2

LHS-3d=RHS-3d

3d+4-3d=3d+3/2-3d

Subtract terms

4 = 3/2 *

Simplifying the equation resulted in a contradiction. Therefore, the equation has no solution.

Subchapter links

Lesson Check p.105

Practice and Problem-Solving Exercises p.105-108

Standardized Test Prep p.108

Mixed Review p.108