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Is this point (x,y) a solution?
Number of Solutions
Solving Systems
Graphing
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
What is the solution? http://www.icoachmath.com//image_md//System%20of%20Equations1.jpg
(1,3)
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
https://www.varsitytutors.com/assets/vt-hotmath-legacy/images/gt/lessons/genericalg1/linear_equations_no_solution.gif
None
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
http://i570.photobucket.com/albums/ss141/athiappan/sys-2.jpg
(5, 4)
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
https://www.google.com/search?q=systems+of+equations&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjhxq_OrYHUAhXE8CYKHc_IC_IQ_AUICigB&biw=1290&bih=716#imgdii=Df6ZofAX_bKY-M:&imgrc=QhBM8Vg8XEMLnM:
(3,1)
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
https://www.google.com/search?q=systems+of+equations&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjhxq_OrYHUAhXE8CYKHc_IC_IQ_AUICigB&biw=1290&bih=716#imgdii=ULiIugS28v4vSM:&imgrc=QhBM8Vg8XEMLnM:
Infinite
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