BC Math 9 – Multi-Step Equations

Visit this site directly by visiting hunkim.com/9equations

• Multi-step one-variable linear equations
• Includes distribution, variables on both sides of the equation, and collecting like terms
• Includes rational coefficients, constants, and solutions Solving and verifying 1+2x=3-\frac{2}{3}(x+6)
• Solving symbolically and pictorially

1. 2x=8
   Answer
   4
   
   
2. 12=-2a
   Answer
   -4
   
   
3. \frac{x}{3}=5
   Answer
   15
   
   
4. 7=-\frac{a}{2}
   Answer
   -14
   
   
5. \frac{2}{5}=\frac{\Box}{15}
   Answer
   6
   
   
6. \frac{7}{\Box}=\frac{14}{5}
   Answer
   \frac{35}{14}
   
   
7. 2x(3-2)=2
   Answer
   1
   
   
8. -2(3-5x)=4
   Answer
   1
   
   
9. \frac{x}{2}=\frac{3}{5}
   Answer
   \frac{6}{5}
   
   
10. \frac{4}{9}=\frac{2}{x}
    Answer
    \frac{9}{2}
    
    
11. \frac{2}{x}=5
    Answer
    \frac{2}{5}
    
    
12. -3=\frac{5}{a}
    Answer
    -\frac{5}{3}
    
    
13. 2-x=3(x+1)
    Answer
    -\frac{1}{4}
    
    
14. -2(2x-3)=4+x
    Answer
    \frac{2}{5}
    
    
15. \frac{2}{x+1}=\frac{3}{4}
    Answer
    \frac{5}{3}
    
    
16. \frac{2x-3}{5}=\frac{3}{-2}
    Answer
    -\frac{9}{4}
    
    
17. 2+\frac{1}{2}=\frac{1}{2-3x}
    Answer
    \frac{8}{15}
    
    
18. 2x+\frac{x}{2}+1=5
    Answer
    \frac{8}{5}
    
    
19. \frac{w}{3}-w+2=\frac{3}{2}
    Answer
    \frac{3}{4}
    
    
20. 1+2x=3-\frac{2}{3}(x+6)
    Answer
    -\frac{3}{4}
    
    
21. 3x-2=\frac{2}{5}\left(\frac{3x}{2}-1\right)
    Answer
    \frac{2}{3}