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McGraw Hill Glencoe Algebra 1, 2012

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McGraw Hill Glencoe Algebra 1, 2012 View details

6. Ratios and Proportions

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Exercise 56 Page 117

How many cases do you have after you remove the absolute value?

{-7,-11}

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |b+9|= 2This equation means that the distance is 2, either in the positive direction or the negative direction. |b+9|= 2 ⇒ lb+9= 2 b+9= - 2 To find the solutions to the absolute value equation, we need to solve both of these cases for b.

| b+9|=2

lc b+9 ≥ 0:b+9 = 2 & (I) b+9 < 0:b+9 = - 2 & (II)

lcb+9=2 & (I) b+9=- 2 & (II)

(I), (II): LHS-9=RHS-9

lb_1=-7 b_2=-11

Both -7 and -11 are solutions to the absolute value equation.

Subchapter links

Check Your Understanding p.114

Practice and Problem Solving p.115-116

H.O.T. Problems p.116

Standardized Test Practice p.117

Spiral Review p.117

Skills Review p.117