Word Problems
Solve by Graphing
Solve by Elimination
Is the Solution Correct?
100

By graphing, the solution to the system y = x and y = -x

What is (0,0) ?

100

The solution to the system x + 5y = 12 and -x +y = 0

What is (2,2) ?

100

(4,5) is the solution to the following system? 4x - y = 12 and x + 6y = 13

What is, NO ?

200

By graphing, the solution to the system y = 3x - 4 and y = -3x + 2

What is (1,-1)?

200

The solution to the system -4x - 2y = -12 and 4x + 8y = -24

What is (6,-6)?

200

(0,-4) the solution to the system y = -20x + 1 and 20x + y = 6

What is No?

300
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. How many of each animal are there?
What is 6 chickens and 7 pigs?
300

By graphing, the solution to the system y = (1/3)x + 2 and y = -x - 2

What is (-3,1) ?

300

The solution to the system 5x + y = 9 and 10x - 7y = -18

What is (1,4)?

300

(-2,1) is a solution to the system 6x - 3y = -15 and 2x + y = -3

What is Yes?

400
Find the value of two numbers if their sum is 12 and their difference is 4.
What is (8,4) ?
400

By graphing, the solution to the system y = -(3/2)x - 4 and y = (1/2)x + 4

What is (-4,2) ?

400

The solution to the system -4x + 9y = 9 and x = 3y - 6

What is (9,5)?

400

No solution describes the solution to the following system y = 3x + 4 and y = -x - 4

What is No?

500
Harold had a summer lemonade stand where he sold small cups of lemonade for $1.25 and large cups for $2.50. If Harold sold a total of 155 cups of lemonade and collected a total of $265, how many cups of each type did he sell?
What is 98 small cups and 57 large cups of lemonade?
500

By graphing, the solution to the system y = (5/4)x - 2 and y = (5/4)x -1

What is no solution?

500

The solution to the system 2x + 8y = 6 and -5x - 20y = -15

What is infinite number of solutions?

500

(-3,-1) is the solution to y=(4/3)x + 3 and (2/3)x + y = -3

What is (-3,-1)?