Multi-step equations
7x + 4 = 10 + x
X = 1
Find the equation - Mary can paint a house in 12 hours. If Nancy helps, it takes them 2 hours. Without help, how long would it take Nancy to complete the same job?
1/12 + 1/x = 1/2
2 (x + 5) = -20
X = -15
Find the equation - Sara takes six hours to spread mulch. It takes Joan ten hours to finish this job. How long would it take if they worked together?
1/6 +1/10 = 1/x
9x - 5 = 2x + 37
X = 6
Solve - For Keith, it takes 8 hours to paint a house. However, Dan takes 5 hours to finish the same job. If working together, how long would they take?
3.08 hours
3 (1 -2x) = -9
X = 2
Solve - For Tim, it takes nine hours to paint a room. However, Dan takes eight hours to complete the same job. If working together, how long would they take?
4.24 hours
2 = -2 (3x + 4) + X
X = -2
Solve - Sara can cut the schrubs in 12 hours. If Tom helps, it takes them 10 hours. Without help, how long would it take Tom to do the same thing?
X = 60