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 = -12
What is Mrs Provance's first name...spelling counts
Jackie
Find the roots to the quadratic equation:
AKA SOLVE (Find x intercepts or zeros of the quadratic Equation. What is the value of the x when the parabola cross the x axis? )
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 = -1/3x+2/3
6(x + 3y) = 12
6x + 18y = 12
18y = -6x + 12
y = -6/18x + 12/18 Reduce y = -1/3x + 2/3
Solve the following system of equations:
6x − 12y = 24
−x − 6y = 4
(2, -1)
Multiply 2nd equation by -2 to eliminate y's 6x − 12y = 24 2x + 12y = -8
8x = 16, x = 2 , Plug 2 into Eq #1: 12 - 12y = 24, -12y = 12, y = -1
Simplify (45)2
410
Solve the equation.
2|x-5| = 12
Hint: Isolate the | | absolute value bars and set the equation = to both the + and - value. Solve both equations for x
x = 11 or x = -1
What is Mrs Provance's planning period?
third
What is the discriminant of the following and how many solutions does it have:
2m2 + 2m − 12 = 0
HINT Use the discriminate equation b2 - 4ac,
d > 0:2 solutions, d = 0:1 solution & d < 0:{ }zero
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) Multiply Eq #1 by -2
-2x - 14y = 0
2x − 8y = 22
- 22y = 22: y = -1 Plug -1 into equation #1 for y
x + -7 = 0, x = 7
Factor the following polynomial & SOLVE
x2 -5x - 24
(x-8)(x+3)
x = {8, -3}
Solve:
4|x+3|-11=5
x = 1 or x = -7
{1,-7}
When is the Algebra 1 assessment?
May 22 and 27th
Find the solutions to the following quadratic:
2x2 − 3x − 5 = 0
Hint: Factor using slip & slide method, then find zeros.
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.
What is Ms. Provance's dog's name?
Koa
A water balloon is catapulted into the air so that its height h, in meters, after t seconds is
h(t) = -4.9t2 + 24.5t + 1. What is the maximum height of the balloon? Round to the nearest tenth.
Hint: solve for x (time), run t through h(t) equation to solve for y (t,y)
h = 31.6 meters
t = - b/2a = -24.5/2(-4.9)
t = 2.5
-4.9(2.5)2 + 24.5(2.5) + 1 = 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
Perpendicular slope = neg inverse of -.1/4
Therefore - 1/4 Perp slope = +4
Point slope equation y - y1 = m(x - x1), y + 2 = 4(x -5) y = 4x - 20 - 2 : 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 and SOLVE.
25x2-64
Notice Difference of Squares
(5x+8)(5x-8)
x ={-8/5, 8/5)
Solve the equation.
0.8|x+4|-3=1
x = -9 or x = 1
What month is Mrs Provance's birthday?
June