Quadratics
Find the solutions to the following quadratic equation:
(x-5)(x+9)=0
x = 5 and x = -9
Algebra: Is this a function: {(1, 2), (-2, 3), (2, 4)}
Yes, the domain does not repeat.
Algebra: 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 or x = -2
factor:
14c2+2c
What is
7c(2c+1)
Find the roots to the quadratic equation:
2x2=200
x = 10 and x = -10
Algebra: simplify: 4(6ac - 3) + 5ac
Algebra: 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)
Simplify (45)2
410
Solve the inequality and write in interval notation:
-12<x-9 and -10>x-9
What is
-3<x<-1
Simplify:
the square root of 84
What is 2 square roots of 21
Solve the quadratic:
2x2 -26x+60=0
What is
x=3
x=10
Algebra: Solve for a: abc = 2h
Algebra: a = 2h/bc
Solve:
-2(5x+2)+5x+2=23
What is x=-5
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}
Factor the quadratic:
49x2 -1
What is
(7x-1)(7x+1)
Simplify: a(b - c) - 2a(c + b)
-1ab - 3ac
What is the slope of the line passing through points
(-6,8) and (-9,7)?
What is 1/3
Solve the following system of equations:
−8x − 10y = 24
6x + 5y = 2
(7, -8)
Simplify:
2xy8
_____
2x3y7
y
____
x2
Solve the equation.
-3|x-1|+5=8
No Solution.
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 is the formula for exponential growth?
What is
y=a(1+r)x
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)
5<-x+10 or -x+10<2
x<5 or x>8