Before you teach this activity, make a copy of the first 9 pages. Your copies should be one sided. Use a thicker than normal paper—like card stock. If you would like this activity to be consumable by the student, no further action is needed. If you would like this activity to be reused—laminate the cards (or you can have the students slide the cards into a plastic page sleeve and write on the plastic with a dry-erase or water soluble marker.). You need to cut each card in half. Shuffle the cards and have them in the center of the desk blank side up. Have each student draw a card, follow the directions and solve the linear system. Once the students finish solving, have them pick another card and repeat until all cards are gone.
The graphing solutions will be much more accurate if you require the students to use a straight edge or ruler.
There are six linear systems and 18 cards—each linear system is repeated three times. Once is to be solved by elimination, substitution and graphing. Have the students match their systems and make sure everyone agreed upon the same answer (elimination, substitution and graphing should all yield the same solution—although since graphing is an estimate it will be harder to get the exact answer). Talk about why the graphing solution might only be “close” to the algebraic substitution and elimination methods.
You could turn this activity into a game—the student with the most correctly completed cards “wins” a prize. Or you could set the timer for a set number of minutes and see who completes the most cards in the set amount of time.