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
Solve the system of equations
x + y = 6
2x - y = 3
y = 3
2xy^2
Solve the equation:
|x|-5=7
x = 12 and x = -12
How many pets does Mrs. Arcement currently have?
2 dogs
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 equation.
2|x-5| = 12
x = 11 or x = -1
How many children does Mrs. Arcement have?
3 sons
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
Algebra: Solve for a: abc + 2h
Algebra: 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}
How old is Mrs. Arcement
50
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)(3x -4)
3 x2 - 10x +8
Solve the equation.
-3|x-1|+5=8
No Solution.
Where did Mrs. Arcement go on Vacation for her Birthday this year?
Graph:
y= - (x+4)^2 +2
Name vertex and any transformations
Parabola vertex (-4, 2)
Points down
Algebra: What's the domain of a exponential function?
All Real Numbers
Write an equation perpendicular to y = -1/4 x + 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
Where was Mrs. Arcement born?
Missouri