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Answer Key 2.5

  1. x=±8x=±8
  2. n=±7n=±7
  3. b=±1b=±1
  4. x=±2x=±2
  5. aa
    5+8a=53−5−58a8=488a=65+8a=−53−5−58a8=−588a=−588 or −7145+8a=53−5−58a8=488a=65+8a=−53−5−58a8=−588a=−588 or −714
  6. aa
    9n+8=46−8−89n9=389n=389 or 4299n+8=−46−8−89n9=−549n=−69n+8=46−8−89n9=389n=389 or 4299n+8=−46−8−89n9=−549n=−6
  7. aa
    3k+8=2−8−83k3=−63k=−23k+8=−2−8−83k3=−103k=−1033k+8=2−8−83k3=−63k=−23k+8=−2−8−83k3=−103k=−103
  8. aa
    3−x=−6−3−3(−x=−3)(−1)x=−33−x=−6−3−3(−x=−9)(−1)x=−93−x=−6−3−3(−x=−3)(−1)x=−33−x=−6−3−3(−x=−9)(−1)x=−9
  9. aa
    −7−7|−3−3r|=−21−7|−3−3r|=3−7−7|−3−3r|=−21−7|−3−3r|=3
    11
    −3−3r=3+3+3−3r−3=6−3r=−2−3−3r=−3+3+3−3r−3=0−3r=0−3−3r=3+3+3−3r−3=6−3r=−2−3−3r=−3+3+3−3r−3=0−3r=0
  10. aa
    |2+2b|+1=3−1−1|2+2b|=2|2+2b|+1=3−1−1|2+2b|=2
    2+2b=2−2−22b=0b=02+2b=−2−2−22b2=−42b=−22+2b=2−2−22b=0b=02+2b=−2−2−22b2=−42b=−2
  11. aa
    77|−7x−3|=217|−7x−3|=377|−7x−3|=217|−7x−3|=3
    −7x−3=3+3+3−7x−7=6−7x=−67−7x−3=−3+3+3−7x=0x=0−7x−3=3+3+3−7x−7=6−7x=−67−7x−3=−3+3+3−7x=0x=0
  12. aa
    −4−3n=2+4+4−3n−3=6−3n=−2−4−3n=−2+4+4−3n−3=2−3n=−23−4−3n=2+4+4−3n−3=6−3n=−2−4−3n=−2+4+4−3n−3=2−3n=−23
  13. aa
    8|5p+8|−5=11+5+588|5p+8|=168|5p+8|=28|5p+8|−5=11+5+588|5p+8|=168|5p+8|=2
    5p+8=2−8−85p5=−65p=−655p+8=−2−8−85p5=−105p=−25p+8=2−8−85p5=−65p=−655p+8=−2−8−85p5=−105p=−2
  14. a
    3−|6n+7|=−40−3−3(−|6n+7|=−43)(−1)|6n+7|=43
    6n+7=43−7−76n6=366n=66n+7=−43−7−76n6=−506n=−253
  15. a
    5|3+7m|+1=51−1−155|3+7m|=505|3+7m|=10
    3+7m=10−3−37m7=77m=13+7m=−10−3−37m7=−137m=−137
  16. a
    4|r+7|+3=59−3−344|r+7|=564|r+7|=14
    r+7=14−7−7r=7r+7=−14−7−7r=−21
  17. a
    −7+8|−7x−3|=73+7+788|−7x−3|=808|−7x−3|=10
    1
    −7x−3=10+3+3−7x−7=13−7x=−137−7x−3=−10+3+3−7x−7=−7−7x=1
  18. a
    8|3−3n|−5=91+5+588|3−3n|=968|3−3n|=12
    3−3n=12−3−3−3n−3=9−3n=−33−3n=−12−3−3−3n−3=−15−3n=5
  19. a
    5x+3=2x−1−2x−3−2x−33x3=−43x=−435x+3=−2x+1+2x−3+2x−37x7=−27x=−27
  20. a
    2+3x=4−2x−2+2x−2+2x5x5=25x=252+3x=−4+2x−2−2x−2−2xx=−6
  21. a
    3x−4=2x+3−2x+4−2x+4x=73x−4=−2x−3+2x+4+2x+45x5=15x=15
  22. a
    2x−5=3x+4−3x+5−3x+5−x=9x=−92x−5=−3x−4+3x+5+3x+55x5=15x=15
  23. a
    4x−2=6x+3−6x+2−6x+2−2x−2=5−2x=−524x−2=−6x−3+6x+2+6x+210x10=−110x=−110
  24. a
    3x+2=2x−3−2x−2−2x−2x=−53x+2=−2x+3+2x−2+2x−25x5=15x=15

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