Linear Systems
Solve the equation x + 5 = -3
x = -8
What does the acronym F.O.I.L stand for?
First, Outer, Inner, Last
What is the Max or Min of a parabola called?
The Vertex
How many pieces of information are needed to solve a triangle?
3
Translate the phrase into an algebraic expression. Six more than 3 times a number
3x + 6
Find the greatest common factor. 6x3 + 3x2 - 9x
Greatest common factor = 3x
If the parabola is opening down will it have a Max of Min value?
It will have a Max value.
What are 2 laws to solve a non right-angle triangle?
Sine Law and Cosine Law
State the slope and y intercept from the following equation. y = -2x + 4
Slope = -2/1 y-int = 4
F.O.I.L out the following equation (2x + 1)(x + 5)
= 2x2 + 11x + 5
What is the vertex and direction of opening of the equation y = x2 + 3
Vertex = (0,3)
Opens up
To apply the Cosine Law you must have one of these 2 things _____________ or _____________.
a contained angle or all three sides.
When asked to solve a linear system involving 2 linear equations, you are asked to find the _______________?
Point of intersection
A square has a side length of 2x + 4. Determine a simplified expression for the perimeter
8x + 16
a > 1 --> the parabola is ________ ________ by a factor of "a"
Vertically stretched
If you are given two similar triangles. Triangle ABC and LMN where < A = < L < B = < M and < C = < N. What side of LMN corresponds to AB?
LM
Rewrite into y=mx+b form. -2x + 3y + 12 = 0
y = 2/3x - 4
Determine the area of the square with a side length of 2x + 4
A = (2x + 4)2
A = 4x2 + 16x +16
Write an equation for the parabola with a vertex at (2,3) opening upward, and with no vertical stretch by a factor of 2.
y = (x - 2)2 + 3
Right-angle triangle ABC you are given side "a" is 20cm,< B is 35o, and < C is 90o. What equation from SOH CAH TOA is needed to solve for side "c"?
Cos = Adj/Hyp