Systems (2-var)
Solve the system of equations below:
x = 2
y = 4x + 2
Correct Answer:
(2, 10)
A t-shirt company is currently selling t-shirts for $15 and hoodies for $30. They made $450 by selling 20 total items. How many shirts and hoodies did they sell each?
They sold 10 t-shirts and 10 hoodies.
Please refer to number 11. on the study guide.
Correct answer:
[8 -6]
[4 -3]
What college did Mr. Martin go to?
Lebanon Valley College
Surprise!
Name one of Mr. Martin's cats?
Options were...
Midgie, MJ (Midgie Jr.), Charles (King Charles is a double), and then Ralphie.
Solve the system of equations below:
3x - 2y = 15
-6x + 4y = -20
Correct answer:
No Solutions
PHS teachers are selling tickets for the Charity Soccer Game. Student tickets are $4 and adult tickets are $6. They have sold 196 tickets for a total of $954. How many of each type of ticket did they sell?
They sold 111 student tickets (x = 111) and 85 adult tickets (y = 85)
Please refer to number 12. on the study guide.
[ -9 ]
[-11]
Surprise!
What is Mr. Martin's birthday?
On the dot: 400
Within 3 days: 200
Correct month only: 100
12/28 (December 28th)
Surprise!
What goes all around the world without leaving it's corner?
A stamp!!!
Solve the system of equations below:
4x - 3y = 10
8x - 6y = 20
Correct Answer:
Infinite Solutions
It costs $25 to register for the Color Run before October and $50 to register after October. Last year, there were 560 runners who registered before October and 255 that registered after October. This year, there were 755 that registered before October and 234 that registered after October. Find the revenue for each year.
Correct answers:
Last Year: 560(25) + 255(50) = $26,750
This Year: 755(25) + 234(50) = $30,575
Just plug in the dollar amounts and multiply!
Please refer to number 13. on the study guide.
[11 2]
There is a mystery action you can do that will award you 300 points. The first person to do that thing will win.
It is not something crazy, do not hurt anyone including yourself (example: it is not a backflip)
Hint: it involves one of your hands
James Clear (it's on that white poster in the back of the room)
Solve the system of equations below:
3x - y = -4
x + 3y = -28
Correct answer:
(-4, -8)
Jim orders 3 pizzas, 2 sodas, and 2 salads, for a total of $65. Sarah orders 1 pizza, 1 soda, and 2 salads for a total of $33. Frank orders 4 pizzas, and 5 sodas for a total of $70. Figure out how much each item costs.
Correct Answer:
Pizzas are $15 each, Sodas are $2 each, and Salads are $8 each.
(15, 2, 8).
Please refer to number 14. on the study guide.
[11 1]
[17 -5]
Graph the following: Shade the solution area
2y < -5x - 10
5x + 2y > -2
(checking for correct answer)
Solve the 3-variable system:
4x + y + 5z = -40
-3x + 2y + 4z = 10
x - y - 2z = -2
The answer is...
(-6, 4, -4)
7x + 5y = -12
3x - 4y = 1
Correct answer:
(-1, -1)
Tom has $15,000 to invest in stocks, bonds, and index funds. He wants a return of 9% on his investment. He predicts that stocks will return 10%, bonds will return 6%, and index funds will return 8%. Tom has decided that whatever he invests in stocks will be equivalent to his investments in bonds plus his investments in index funds. How many should Tom invest into each type?
x + y + z = $15,000
x = y + z OR x - y - z = 0
0.10x + 0.06y + 0.08z = $1350
For an answer of: (7500, 0, 7500)
Please refer to number 15 on the study guide.
y = -1
Graph the solution using shading.
x < 6
2y < 8
y >= -1/3x - 4
(Checking answers)
Solve the 3-variable system:
4x - y + 3z = 13
x + y + z = 2
x + 3y - 2z = -17
(-1, -2, 5) is the answer.