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Pearson Algebra 1 Common Core, 2011

PA

Pearson Algebra 1 Common Core, 2011 View details

4. Solving Radical Equations

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Exercise 55 Page 638

Apply inverse operations to isolate y.

B

Practice makes perfect

Rewriting any linear equation in the slope-intercept form requires us to isolate the y-variable. To do this, we will use the Properties of Equality to apply inverse operations on the equation.

2x+5y=40

LHS-2x=RHS-2x

5y=40-2x

.LHS /5.=.RHS /5.

y=40-2x/5

Write as a difference of fractions

y=40/5-2x/5

Calculate quotient

y=8-2x/5

CommutativePropAdd

Commutative Property of Addition

y=-2x/5+8

MovePartNumRight

a* b/c=a/c* b

y=-2/5x+8

We obtained that the slope-intercept form of the given equation is y=- 25x+8. Therefore, the correct answer is B.

Subchapter links

Lesson Check p.636

Practice and Problem-Solving Exercises p.636-638

Standardized Test Prep p.638

Mixed Review p.638