Mathorio
Worksheet
Systems of Equations (Substitution)
Name:
Class:
Date:
Show your work for each problem.
- 1.In the system , which equation should you substitute INTO?
- a)
- b)Neither equation
- c)Either one works the same
- d)
- 2.Solve for :
- 3.What is the first step to solve by substitution?
- a)Multiply both equations by 3
- b)Isolate or in one equation
- c)Graph both equations
- d)Add the equations together
- 4.Solve for :
- 5.Solve the system:
- 6.Solve the system:
- a)
- b)
- c)
- d)
- 7.Solve for :
- 8.Solve:
- 9.Solve:
- 10.What happens when you solve by substitution?
- a)No solution ()
- b)One solution
- c)One solution
- d)Infinitely many solutions ()
- 11.Solve for :
- 12.A movie theater sold 200 tickets. Adult tickets cost 15 euros and child tickets cost 10 euros. Total revenue was 2500 euros. How many adult tickets were sold?
- 13.Solve:
- 14.What happens when you solve by substitution?
- a)One solution
- b)No solution ()
- c)Infinitely many solutions
- d)One solution
- 15.A chemist needs 500 mL of a 40% acid solution. She has a 25% solution and a 50% solution. How many mL of the 50% solution should she use?