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Big Ideas Math Integrated I, 2016
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Big Ideas Math Integrated I, 2016 View details
4. Solving Absolute Value Equations
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Exercise 15 Page 32

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

Solutions: m=4 and m=- 10
Number Line:

Practice makes perfect

An absolute value measures an expression's distance from a midpoint on a number line. |m+3|= 7 This equation means that the distance is 7, either in the positive direction or the negative direction. |m+3|= 7 ⇒ lm+3= 7 m+3= - 7 To find the solutions to the absolute value equation, we need to solve both of these cases for m.

| m+3|=7

lc m+3 ≥ 0:m+3 = 7 & (I) m+3 < 0:m+3 = - 7 & (II)

lcm+3=7 & (I) m+3=- 7 & (II)

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

lm_1=4 m_2=- 10

Both 4 and - 10 are solutions to the absolute value equation. Let's graph these solutions on a number line.

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arrow_right Communicate Your Answer p.27
4
Communicate Your Answer 5 (Page 27)
arrow_right Monitoring Progress p.28-31
Monitoring Progress 1 (Page 28)
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arrow_right Exercises p.32-34
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