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Absolute Value Equations (Grade 10)

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Absolute Value Equations

Instructions: Solve each equation for [math]x[/math]. Be sure to reject extraneous solutions.

1. 
Solve for [math]x[/math].
[math]|x| = 7[/math]








 
2. 
[math] |9 - 2x| = 11 [/math]








3. 
Solve for [math]x[/math]:

[math] |x-5| = 9 [/math]








 
4. 
[math] |4x - 5| = 11 [/math]








5. 
[math] |5 - 3x| = -4 [/math]








 
6. 
[math] |12 - 5x| = 3 [/math]








7. 
[math] |3x - 9| = 0 [/math]








 
8. 
Solve [math]|3x-1| =8[/math].








9. 
[math] |3 - 4x| = 2 [/math]








 
10. 
Solve. [math]|2x-8| = 3x-2[/math]








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