Quadratics
Find the solutions to the following quadratic equation:
(x-5)(x+9)=0
x = 5 and x = -9
Is this a function:
{(1, 2), (-2, 3), (2, 4)}
Yes, the domain (x-values) does not repeat. One output for every input.
Find the mean of the following set of data: 13, 23, 21, 20, 21, 24, 18
The mean is 20
Julia traveled to Argentina and Chile for a total of 16 days. In Argentina, she learned 125 new words per day. In Chile, she learned 140 new words per day. She learned a total of 2145 words. Write a system of equations using x for Argentina and y for Chile.
x + y = 16
125x + 140y = 2145
Gerry buys a car for $12,000. It depreciates at a rate of 8% per year. Write an equation to find the cost of the car after x years.
Use: y=(1+r)t or y=a(1-r)t (Choose the correct one)
y = 12000(0.92)x
y = 12000(1-0.08)x
Solve the equation:
|x|-5=7
x = 12 and x = -12
What is Ms. Nook's favorite color?
Pink!
Find the roots to the quadratic equation:
2x2=200
x = 10 and x = -10
Simplify:
4(6ac - 3) + 5ac
29ac-12
Make a box and whisker plot for the following data: 7, 1, 0, 4, 8, 3, 10
Min: 0
Q1:1
Med:4
Q3:8
Max:10
Solve the following system of equations:
6x − 12y = 24
−x − 6y = 4
(2, -1)
Simplify (45)2
410
Solve the equation.
2|x-5| = 12
x = 11 or x = -1
How much time do you get for the Algebra Regents?
3 hours!
What is the discriminant of the following and how many solutions does it have:
2m2 + 2m − 12 = 0
100; 2 solutions because it is positive
Solve for a:
abc + 2h
a =
a=(-2h)/(bc)
What are the measures of central tendency?
mean, median, and mode
Solve the following system of equations:
x + 7y = 0
2x − 8y = 22
(7, -1)
Factor the following polynomial.
x2 -5x - 24
(x-8)(x+3)
Solve:
4|x+3|-11=5
x = 1 or x = -7
{1,-7}
What is the passing level for the Regents?
65
Find the solutions to the following quadratic:
2x2 − 3x − 5 = 0
x = 5/2
x = -1
Simplify:
a(b - c) - 2a(c + b)
-1ab - 3ac
What measure of central tendency should be used, when the data is skewed left?
Median
Solve the following system of equations:
−8x − 10y = 24
6x + 5y = 2
(7, -8)
Find the product of
(x - 2)(x2 + 3x -4)
x3 + x2 - 10x +8
Solve the equation.
-3|x-1|+5=8
No Solution - When solving this, an absolute value cannot be equal to a negative.
What day is the Algebra Regents?
Friday June 18th
A water balloon is catapulted into the air so that its height h, in meters, after t seconds is
h = -4.9t2 + 24.5t + 1. What is the starting height of the balloon? Round to the nearest tenth.
h = 1 meters
Algebra: What are the different types of exponential function?
Exponential Growth
Exponential Decay
When is it appropriate to use the mean?
When the data is symmetrical
evenly distributed
free from outliers
If two lines intersect, then the solution to the system is:
a. One solution
b. Infinitely Many Solutions
c. No solution
One solution
Factor the following polynomial.
25x2-64
(5x+8)(5x-8)
Solve the equation.
0.8|x+4|-3=1
x = -9 or x = 1
What is the name of the maximum and minimum part of a quadratic function?
Vertex