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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 33 Page 326

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

2x+y=10

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.

y-4=-2(x-3)

Distribute -2

y-4=-2x+6

LHS-y=RHS-y

-4=-2x+6-y

LHS-6=RHS-6

-10=-2x-y

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

10=2x+y

Rearrange equation

2x+y=10

Now we can see that our equation follows the standard form. Ax+ By&= C 2x+ 1y&= 10

Subchapter links

Lesson Check p.325

Practice and Problem-Solving Exercises p.326-328

Standardized Test Prep p.328

Mixed Review p.328