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Word Problems
Solve by Graphing
Solve by Substitution
Solve by Elimination
Is the Solution Correct?
100
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?
100
By graphing, the solution to the system y = x and y = -x
What is (0,0) ?
100
Use substitution to find the solution to the system x + y = 2 and y = 3
What is (-1,3) ?
100
Use elimination to solve 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
Find the value of two numbers if their sum is 12 and their difference is 4.
What is (8,4) ?
200
By graphing, the solution to the system y = 3x - 4 and y = -3x + 2
What is (1,-1)?
200
Use substitution to find the solution to the system 2y - x = 4 and 10y - x = 20
What is (4,2) ?
200
Use elimination to solve 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
John went to Yellow Stone National Park one day this summer. All of the people at the park were either hiking or bike riding. There were 178 more hikers than bike riders. If there were a total of 676 people at the park, how many were hiking and how many were riding their bikes?
What is 427 hikers and 249 bikers ?
300
By graphing, the solution to the system y = (1/3)x + 2 and y = -x - 2
What is (-3,1) ?
300
Use substitution to find the solution to the system y = 6x - 11 and -2x - 3y = -7
What is (2,1) ?
300
Use elimination to solve 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
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?
400
By graphing, the solution to the system y = -(3/2)x - 4 and y = (1/2)x + 4
What is (-4,2) ?
400
Use substitution to find the solution to the system -3x + 3y = 4 and -x + y = 3
What is no solution?
400
Use elimination to solve 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
Phil bought 6 new compact disks and 2 used compact disks for $127.92. At the same prices, Mackenzie bought 3 new compact disks and 8 used compact disks for $133.89. Find the cost of buying a single used compact disk.
What is $9.99 ?
500
By graphing, the solution to the system y = (5/4)x - 2 and y = (5/4)x -1
What is no solution?
500
Use substitution to find the solution to the system -5x - 8y = 17 and 2x - 7y = -17
What is (-5,1) ?
500
Use elimination to solve 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)?