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.
What is the slope of an equation perpendicular to
y=2/3x+9
-3/2
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. Welch'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
Write the following equation in slope-intercept form:
6(x + 3y) = 12
y = -1/3x+2/3
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 EOC?
All day!
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)
Write an equation in point-slope form with a slope of
1/5
and passes through the poing (2, -6)
point slope form:
y + 6 = 1/5 (x - 2)
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 EOC?
Level 3
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
Write an equation parallel to the equation y = 2x+3 and goes through the point (-8, 1) in slope-intercept form.
y = 2x+17
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 EOC?
Friday May 17th
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 maximum height of the balloon? Round to the nearest tenth.
h = 31.6 meters
Algebra: What's the domain of a exponential function?
All Real Numbers
Write an equation perpendicular to
y = -0.25x + 3
and goes through the point (5, -2) in slope-intercept form.
y = 4x-22
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 does EOC stand for?
End of Course