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Pearson Algebra 1 Common Core, 2011

PA

Pearson Algebra 1 Common Core, 2011 View details

7. Absolute Value Equations and Inequalities

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Exercise 84 Page 213

Begin by isolating the fraction.

x=40

Practice makes perfect

To solve the equation, we have to isolate x. The first step is to isolate the fraction by adding 3 to both sides.

x/4-3=7

LHS+3=RHS+3

x/4-3+3=7+3

Add terms

x/4=10

Next, we can continue isolating x by multiplying both sides by 4.

x/4=10

LHS * 4=RHS* 4

x/4*4=10*4

FracMultDenomToNumber

a/4* 4 = a

x=10*4

Multiply

x=40

Therefore, x=40 is the solution to the equation.

Subchapter links

Lesson Check p.210

Practice and Problem-Solving Exercises p.211-213

Standardized Test Prep p.213

Mixed Review p.213