Quadratics
Find the solutions to the following quadratic equation:
(x-5)(x+9)=0
x = 5 and x = -9
Is this a function? Why?
{(1, 2), (-2, 3), (2, 4)}
Yes, the domain does not repeat.
y=4+3x
Slope = 3
Y-intercept = 4
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
What is the GCF of the function:
3x2+6x
3x
What date is the Algebra EOC?
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 = -1/3+2/3
Solve the following system of equations:
6x − 12y = 24
−x − 6y = 4
(2, -1)
Factor:
x2+3x-4
(x+4)(x-1)
What is the slope formula?
y2-y1 / x2-x1
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 = -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.
2x2 -10x - 48
2(x-8)(x+3)
What is the vertex?
y = (x + 3)2 - 5
(-3, -5)
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
Solve the following system of equations:
−8x − 10y = 24
6x + 5y = 2
(7, -8)
Rewrite the following in expanded form:
(x+3)(x-6)
x2-3x-18
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
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
What's the domain and range of a linear function?
Both domain and range are All Real Numbers.
What is the slope of a linear equation perpendicular to y = 2/3x+9?
-3/2
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)
Write an equation parallel to the equation y = 2x+3 and goes through the point (-8, 1) in slope-intercept form.
y = 2x + 17