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Checking Solutions
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Word Problems
100

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

What is, NO ?

100

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

What is (0,0) ?

100

The solution to the system
x + y = 2
y = 3

What is (-1,3) ?

100

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

What is (2,2) ?

100

A shopper bought 6 shirts and 8 hats for $700. A week later, at the same prices, he bought 9 shirts and 6 hats for $660. What was the cost of one shirt?

What is $30?

200

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

What is No?

200

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

What is (1,-1)?

200

The solution to the system:
2y - x = 4
10y - x = 20

What is (4,2) ?

200

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

What is (6,-6)?

200
Find the value of two numbers if their sum is 12 and their difference is 4.
What is (8,4) ?
300

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

What is Yes?

300

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

What is (-3,1) ?

300

The solution to the system
y = 6x - 11
-2x - 3y = -7

What is (2,1) ?

300

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

What is (1,4)?

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 ?
400

Does this system have one solution, no solution, or infinitely many solutions?
y = 3x - 4
y = -3x - 4

What is One Solution?

400

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

What is (-4,2) ?

400

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

What is no solution?

400

The solution to the system
-5x - 8y = 17
2x - 7y = -17

What is (-5,1) ?

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?
500

Is (-3,-1) a solution to the following system? 
y=(4/3)x + 3
(2/3)x + y = -3

What is yes?

500

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

What is no solution?

500

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

What is (9,5)?

500

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

What is infinite number of solutions?

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 ?