Word Problems
Solve by Graphing
Solve by Substitution
Solve by Elimination
Wild Card
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, y = -x.
What is (0,0)?
100
By substitution, the solution to the system x + y = 2, y = 3.
What is (-1,3)?
100
By elimination, the solution to the system x + 5y = 12, -x +y = 0.
What is (2,2)?
100
Two parallel lines, or a solution similar to 3 = 4, means a system has this type of solution.
What is, NO SOLUTION?
200
Find the value of two numbers if their sum is 12 and their difference is 4.
What are 8 and 4?
200
By graphing, the solution to the system y = 3x - 4, y = -3x + 2.
What is (1,-1)?
200
By substitution, the solution to the system 2y - x = 4, 10y - x = 20.
What is (0,2)?
200
By elimination, the solution to the system -4x - 2y = -12, 4x + 8y = -24.
What is (6,-6)?
200
(0,-4) is the solution to the system y = -20x + 1, 20x + y = 6. (What is TRUE? or What is FALSE?)
What is FALSE?
300
Last year, Jodi invested $10,000, part in a 6% annual interest rate fund and the rest in an 8% annual interest rate fund. If she received $760 in interest at the end of the year, this is the amount she invested at each rate.
What is $2,000 in the 6% fund and $8,000 in the 8% fund?
300
By graphing, the solution to the system y = (1/3)x + 2, y = -x - 2.
What is (-3,1)?
300
By substitution, the solution to the system y = 6x - 11, -2x - 3y = -7.
What is (2,1)?
300
By elimination, the solution to the system 5x + y = 9, 10x - 7y = -18.
What is (1,4)?
300
Two equations that represent the same line, or an equation solution that comes out similar to 3 = 3, means that the system has the following type of solution.
What is INFINITE SOLUTIONS?
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 > -4, y < -1.
What is the SHADED REGION BETWEEN the two PARALLEL LINES?
400
By substitution, the solution to the system -3x + 3y = 4, -x + y = 3.
What is no solution?
400
By elimination, the solution to the system -4x + 9y = 9, x = 3y - 6.
What is (9,5)?
400
The solution of the following system of Inequalities by graphing: x > 2y, 2x + 3y < 7.
What is the SHADED REGION to BELOW the intersection point of (2, 1).
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, y = (5/4)x -1.
What is NO SOLUTION?
500
By substitution, the solution to the system -5x - 8y = 17, 2x - 7y = -17.
What is (-5,1)?
500
By elimination, the solution to the system 2x + 8y = 6, -5x - 20y = -15.
What is infinite number of solutions?
500
The units digit of a two-digit number exceeds twice the tens digit by 1. The sum of the digits is 10. This is that number.
What is 37?
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