University:
High School
Course:
High School Mathematics
Academic year:

2019
Views:

385

Pages:

4
Author:

Bailee C

NOTES - Review Solving Equations One-sided variable 1) \(3x+6=30\) \[-6-6\] \[3x=24\] \[\frac{3x}{3}=\frac{24}{3}\] \[x=8\] 2) \(6x-3=15\) \[+3+3\] \[6x=18\] \[\frac{6x}{6}=\frac{18}{6}\] \[x=3\] 3) \(-6+4x=34\) \[+6+6\] \[4x=40\] \[\frac{4x}{4}=\frac{40}{4}\] \[x=10\] 4) \(5x+4=-41\) \[-4-4\] \[5x=-45\] \[\frac{5x}{5}=\frac{-45}{5}\] \[x=-9\] 5) \(108=-5x-7\) \[+7+7\] \[115=-5x\] \[\frac{115}{-5}=\frac{-5x}{-5}\] \[-23=x\] 6) \(-18-6x=-132\) \[+18+18\] \[-6x=-114\] \[\frac{-6x}{-6}=\frac{-114}{-6}\] \[x=19\] 7) \(5(3x-2)=35\) \[15x-10=35\] \[+10+10\] \[15x=45\] \[\frac{15x}{15}=\frac{45}{15}\] \[x=3\] 8) \(x-3(4+3x)=27\) \[-12-9x=27\] \[+12+12\] \[-9x=39\] \[\frac{-9x}{-9}=\frac{39}{-9}\] \[x=-\frac{39}{9}\] 9) \(2(3+4x)-9=45\) Combine like terms \[6+8x-9=45\] \[8x-3=45\] \[+3+3\] \[8x=48\] \[\frac{8x}{8}=\frac{48}{8}\] \[x=6\] 10) \(6x-4(2x+8)=16\) \[6x-8x-32=16\] \[-2x-32=16\] \[+32+32\] \[-2x=48\] \[\frac{-2x}{-2}=\frac{48}{-2}\] \[x=-24\] 11) \(-5x+4(2+2x)=-1\) \[-5x+8+8x=-1\] \[3x+8=-1\] \[-8-8\] \[3x=-9\] \[\frac{3x}{3}=\frac{-9}{3}\] \[x=-3\]