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Pearson Algebra 1 Common Core, 2011

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Pearson Algebra 1 Common Core, 2011 View details

5. Standard Form

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Exercise 36 Page 326

You will need to apply the Properties of Equality, solving until the equation is in standard form.

2x+(-3)y=-2

Practice makes perfect

Equations in standard form are written in a specific format. Ax+ By= CIn this form, A, B, and C are integers and A and B cannot both be zero. We will use the Properties of Equality to rewrite the given equation in this form. To get rid of the fraction, we need to multiply both sides by its denominator.

y+2=2/3(x+4)

Distribute 2/3

y+2=2/3x+8/3

LHS-8/3=RHS-8/3

y+2-8/3=2/3x

LHS-y=RHS-y

2-8/3=2/3x-y

LHS * 3=RHS* 3

6-8=2x-3y

Subtract term

-2=2x-3y

Rearrange equation

2x-3y=-2

a+(- b)=a-b

2x+(-3)y=-2

Now we can see that our equation follows the standard form. Ax+ B y&= C 2x+ (-3)y&= -2

Subchapter links

Lesson Check p.325

Practice and Problem-Solving Exercises p.326-328

Standardized Test Prep p.328

Mixed Review p.328