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 does not repeat.
What is the slope-intercept of a linear 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.
y = 12000(0.92)x
y = 12000(1-0.08)x
Solve the equation: |x|-5=7
x = 12 and x = -12
Are you allowed to skip questions on the EOC?
Yes! It is not adaptive. Skipping questions will not lower my score. Just come back later to answer them
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:
x + 3y = 12
y = 4 -1/3x
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 many parts are there for the Algebra EOC?
2 you will take one on Tuesday and 2 on Wednesday
What is the discriminant of the following and how many solutions does it have:
2x2 + 2x − 12 = 0
100; 2 solutions because it is positive
Solve for a: abc + 2h = 0
a = -2h/bc
Write an equation in point-slope form with a slope of 1/5 and passes through the point (2, -6).
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 a passing score for the EOC?
684
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 (0,9) in slope-intercept form.
y = 2x+9
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.
On what day is the Algebra EOC?
April 28 and 29
A water balloon is catapulted into the air so that its height h, in meters, after t seconds is
h = -4.9x2 + 24.5x + 1. What is the maximum height of the balloon? Round to the nearest tenth.
h = 31.6 meters
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 (0,10) in slope-intercept form.
y = 4x+10
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