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

Write the system to represent this scenario:

A movie theater charges $5 for an adult’s ticket and $2 for a child’s ticket. One Saturday, the theater sold 785 tickets for $3280. How many of each type of ticket were sold?

What is

5a + 2c= $3,280

a + c= 785

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
(4,5) is the solution to the following system? 4x - y = 12 x + 6y = 13
What is, NO ?
200

Write an equation in STANDARD FORM to represent the given scenario:

A 100-point test has x questions worth 2 points apiece and y questions worth 4 points apiece.

What is 2x + 4y = 100 ?

200
By graphing, the solution to the system y = 3x - 4 y = -3x + 2
What is (1,-1)?
200
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
(0,-4) the solution to the system y = -20x + 1 20x + y = 6
What is No?
300

Judy worked 8 hours and Ben worked 10 hours. Their combined pay was $80. When Judy worked 9 hours and Ben worked 5 hours, their combined pay was $65. Find the hourly rate of pay for each person.

What is Judy works for $5 per hour

Ben works for $4 per hour

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
(-2,1) is a solution to the system 6x - 3y = -15 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 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 -4x + 9y = 9 x = 3y - 6
What is (9,5)?
400
No solution describes the solution to the following system y = 3x + 4 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 y = (5/4)x -1
What is no solution?
500
The solution to the system -5x - 8y = 17 2x - 7y = -17
What is (-5,1) ?
500
The solution to the system 2x + 8y = 6 -5x - 20y = -15
What is infinite number of solutions?
500
(-3,-1) is the solution to y=(4/3)x + 3 (2/3)x + y = -3
What is (-3,-1)?
M
e
n
u