Is this point (x,y) a solution?
Number of Solutions
Solving Systems
Valentines Trivia
Word Problems
100
Is (2, 5) a solution to the following system? -2x + y = 1 x + y = -3
No!
100
Draw a picture of a graph that shows a system of equations with no solution
Parallel lines
100
y = 3x + 13 2x = y - 9
(-4, 1)
100
Approximately what percentage of Valentine's Day cards are purchased by women? a. 55 b. 75 c. 85 d. 25
What is 85?
100
The sum of two numbers is 90. Their difference is 18. Write a system of equations to represent this problem.
x + y = 90 y - x = 18
200
Is (-2, 3) a solution to the following? x - y = -5 -x - y = -1
yes
200
y = -6x + 15 y = -6x + 9
What is none?
200
5x - 2y = 4 x + 2y = 8
(2, 3)
200
Approximately how many Valentine's Day cards are sent each year? a. 25 million b. 1 billion. c. 2 billion. d. 50 million
What is 2 billion? Christmas is 2.6 bill!
200
The second of two numbers is 4 more than the first. The sum of the numbers if 56. Write a system of equations to represent this problem.
y = x + 4 x + y = 56
300
Is (-3, 1) a solution to the following? x - y = -4 -2x + y = 7
What is yes?
300
2x - 2y = 8 x - y = 4
What is infinite?
300
5x + y = 2 5x - 3y = 14
(1, -3)
300
Cupid is whose son?
What is Venus, the goddess of love and beauty!
300
The number of calories in a piece of pie is 20 less than three times the number of calories in a scoop of ice cream. The pie and ice cream together have 500 calorie. Write a system of equations that could be used to find the number of calories in each. Define your variables!
x = calories in pie y = calories in ice cream x = 3y - 20 x + y = 500
400
Is (8,5) a solution to the following system of equations? Solve the system, then check your work. -3x + y = -19 x + y = 3
What is no?
400
5y = x - 6 4x - 10y = 12
What is one solution?
400
3x - 5y = 7 5x - 2y = -1
(-1, -2)
400
Approximately how many boxes of chocolate were sold for Valentines day in 2003? (a)36 million (b)36 thousand (c)360 thousand (d)360 million
What is 36 million?
400
Two records and three tapes cost $31. Three records and two tapes cost $29. Write a system of equations to represent!
r = record t = tapes 2r + 3t = 31 3r + 2t = 29
500
Which of the ordered pairs (4, 2), (4, 6), or (1, 6) is a solution to the following? 3x - 5y = -27 -4x - 3y = -22
(1, 6)
500
X + 4y = 0 8y = -2x
Infinite
500
3x = 5y - 9 2y = 3x + 3
(1/3, 2)
500
In what year did the first box of conversation hearts come out?
What is 1866?
500
The price of a sweater is 5 less than twice the price of a shirt. If four sweaters and three shirts cost $200, find the price of each shirt and each sweater. (You must use a system of equations to solve)
x = $ of sweater y = $ of shirt x = 2y - 5 4x + 3y = 200 $20 and $35
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