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Big Ideas Math: Modeling Real Life, Grade 7
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Big Ideas Math: Modeling Real Life, Grade 7 View details
1. Solving Equations Using Addition or Subtraction
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Exercise 47 Page 132

Use the Subtraction Property of Equality to isolate the absolute value expression.

13, - 13

Practice makes perfect
Before we can solve the equation, we need to isolate the absolute value expression. Let's use the Subtraction Property of Equality.
|x| + 5 = 18
SubEqn

LHS-5=RHS-5

|x| + 5 - 5 = 18 - 5
SubTerms

Subtract terms

|x| = 13

An absolute value measures an expression's distance from a midpoint on a number line. |x|= 13 This equation means that the distance is 13, either in the positive direction or the negative direction. |x|= 13 ⇒ lx= 13 x= - 13 Both 13 and - 13 are solutions to the absolute value equation.

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arrow_right Self-Assessment for Concept & Skills p.129
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