Word Problems
There are 13 animals in the barn. Some are chickens and some are pigs. There are 40 legs in all. What are the 2 equations you would use to solve?
What is p + c = 13 and 4p + 2c = 40?
By graphing, the solution to the system y = x and y = -x
What is (0,0) ?
The solution to the system x + y = 2 and y = 3
What is (-1,3) ?
The solution to the system x + 5y = 12 and -x +y = 0
What is (2,2) ?
(4,5) is the solution to the following system? 4x - y = 12 and x + 6y = 13
What is, NO ?
Find the value of two numbers if their sum is 12 and their difference is 4. What equations would you use to solve?
What is x + y = 12 and x - y = 4?
By graphing, the solution to the system y = 3x - 4 and y = -3x + 2
What is (1,-1)?
To solve by substitution, what variable is easiest to solve for? 2y + x = 4 and 10y - 3x = 20
What is x in the first equation ?
Which variable is already in the correct form to eliminate? -4x - 2y = -12 and 4x + 8y = -24
What is x?
(0,-4) the solution to the system y = -20x + 1 and 20x + y = 6
What is No?
Jay went to the grocery store and bought 3 bananas and 4 apples for $3.59. Maggie bought 5 bananas and 2 apples for $4.39? What 2 equations would you use to solve?
What is 3b + 4a = 3.59 and 5b + 2a = 4.39?
By graphing, the solution to the system y = (1/3)x + 2 and y = -x - 2
What is (-3,1) ?
What would the substitution step look like for the system y = 6x - 11 and -2x - 3y = -7
What is -2x -3(6x - 11)=-7 ?
Which variable is the easiest to eliminate in the system 5x + y = 9 and 10x - 7y = -18 and what would you multiply by to eliminate it?
What is y and 7 in the first equation?
(-2,1) is a solution to the system 6x - 3y = -15 and 2x + y = -3
What is Yes?
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 equations would you use to solve?
What is 1.25s + 2.50l = 265 and s + l = 155?
By graphing, the solution to the system y = -(3/2)x - 4 and y = (1/2)x + 4
What is (-4,2) ?
What would the substitution step look like for the system -3x + 3y = 4 and x = y + 3?
What is -3(y + 3) + 3y = 4?
What would you multiply the 2nd equation by to eliminate y? -4x + 9y = 9 and x - 3y = 6
What is 3?
(2, 0) the solution to the following system y = 3x - 6 and y = -x +2
What is yes?
Mary bought 6 new compact disks and 2 used compact disks for $127.92. At the same prices, Moe bought 3 new compact disks and 8 used compact disks for $133.89. Find the cost of buying a single used compact disk. What equations would you use to solve?
What is 6n + 2u = 127.92 and 3n + 8u = 133.89?
By graphing, the solution to the system y = (5/4)x - 2 and y = (5/4)x -1
What is no solution?
What would the substitution step look like for the system -5x + y = 17 and 2x - 7y = -10?
What is 2x - 7(5x + 17) = -10?
What is the easiest variable to eliminate and what would you multiply by to eliminate it? x + 8y = 6 and -5x - 20y = -15
What x and 5 in the first equation?
(-3,-1) is the solution to the system 2x - 3y = -3 and -4x - 2y = 10?
What is no?