This self-checking activity allows students to practice solving systems of linear equation by substitution and elimination. Students will choose which method to use depending on the structure of the equations.
I use this activity primarily with my lower-level Algebra 1 classes. Thus, (1) the solutions are integers only; and (2) when using elimination, students will need to multiply one equation by a constant (but not both equations).
Teacher directions: "Copy the first two pages of this document two-sided and cut along the lines to make 10 cards. Students should choose one problem to do first, then turn all the other cards so that the solution are facing up. When they solve the first problem, they will find its solution on another card. Students turn this card over and solve the problem on the front. Repeat until they have solved all 10 of the systems."
I typically pair students up for this activity. For accountability, you can have students show work on a separate sheet of paper. However, I prefer to have all students working on large individual whiteboards so that I can spot misconceptions and offer support more easily as they work.