Systems of Equations
If you graph two lines and they never intersect, how many solutions are there to the system?
No solution (zero solutions)
Simplify:
(10x6)(3x7)
30x13
Factor: x2 - 25
(x + 25) (x - 25)
Factor and solve:
x2 - 49 = 0
x = {-7, 7}
How old is Ms. Raab turning this July?
27
How many solutions are there to the following system?
y = 2x + 1
y = 2x + 1
Infinite solutions
Simplify:
(12x10y6 + 6x5y2) / (6x5y2)
2x5y4 +1
Factor: 14x4y3 - 16x4y
2x4y(7y2 - 8)
Determine if linear or exponential:
"The cell phone company charges a flat fee of $100 each month plus $1 per phone call"
Linear
How tall is Ms. Raab? Round to the nearest foot
5 feet
Solve the following system:
2 x − 3y = −1
y = x − 1
(4, 3)
Simplify:
(2x5 + 7x4 - 8x) + (10x5 - 9x + 3)
12x5 + 7x4 - 17x +3
Factor: x2 - 9x - 36
(x - 12)(x + 3)
Determine if linear or exponential:
"You start with $100 in your bank account. Each month your money is doubled"
Exponential
What sport was Ms. Raab the captain of during high school?
Cheerleading
Solve the following system:
5x + y = 9
10x − 7y = −18
(1, 4)
Simplify:
3x5y(2xy4 - 6y8) - x5y9
6x6y5 - 19x5y9
Factor: 4n2 − 15n − 25
(n − 5) (4n + 5)
In 2024, the new iPhone was worth $900. Each year the value of the phone depreciates 3%. How much will the phone be worth in 2027? Round to the nearest hundredth.
$821.41
What breed are Ms. Raab's dogs?
Goldendoodles
Solve the following system of equations:
2x + 8y = 6
−5x − 20y = −15
Infinite number of solutions
Simplify:
(1/2 x3y6)2 (8x-8y)
(2y13)/x2
Factor COMPLETELY:
16b2 + 60b − 100
4(b + 5)(4b − 5)
Factor and Solve: (Check for what first?)
28n4 + 16n3 − 80n2 = 0
*There are three answers!
4n2( 7n − 10)(n + 2)
n = {-2, 0, 10/7}
Where is Ms. Raab originally from before moving to CT?