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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 57 Page 117

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

{10,-7}

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |2p-3|= 17This equation means that the distance is 17, either in the positive direction or the negative direction. |2p-3|= 17 ⇒ l2p-3= 17 2p-3= - 17 To find the solutions to the absolute value equation, we need to solve both of these cases for p.

| 2p-3|=17

lc 2p-3 ≥ 0:2p-3 = 17 & (I) 2p-3 < 0:2p-3 = - 17 & (II)

lc2p-3=17 & (I) 2p-3=- 17 & (II)

(I), (II): LHS+3=RHS+3

l2p=20 2p=-14

(I), (II): .LHS /2.=.RHS /2.

lp_1=10 p_2=-7

Both 10 and -7 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