20 terms

Most Algebra 1 Formulas for needed for CST

Ax + By + C = 0
Standard form of a linear equation
Use C= (B/2)^2
To complete the square
Distance = (Rate)(Time)
y = mx + b
Slope-intercept form ( easy to graph)
y - y1 = m(x - x1)
point-slope form ( when given a point and a slope)
m = (y2 - y1)/(x2 - x1)
slope formula ( When given 2 points)
1/Time 1 + 1/ Time 2 = 1/ Total Time
Work Formula ( When given a job done by 2 different people)
Standard form of Quadratic Equation
Ax^2 + Bx + C= 0
When lines are Paralell, they have...
The same slope Example: 1/2 and 1/2 or 2 and 2, I I
When Lines are Perpendicular, like a cross...
They have reciprical, (flipped), slopes with the opposite sign, Example: -5/4, and 4/5
A function
Passes the Vertical Line test,for every x there is only one y, or parabola that smile up or frowns down, lines with slopes
Not a function
Does not pass the vertical line test, circles, parabolas, sideways
On a table, when there are more than one y value for the same x
y intercept
coordinate pair
slope is :
rise over run, change of y over change in x, (Y2 -Y1) divided by (X2-X1)
The Quadratic Formula is derived from
Completing the Square of the Standard form of a quadratic equation Ax^2 + Bx + C=0
What is a like term?
same variable and same exponent
When I multiply variables with exponents...
I add the exponents
What are the steps for completing the square?
1. make sure A term is "1", divide if neccessary
2. Move C term to right
3. Complete square on the left w (b/2)^2 and add to both sides
4. Factor the left, simplify the right
5. take the square root of both sides
6. sove for X.