Linear Systems
The point where 2 or more lines cross.
What is the point of intersection?
Find the midpoint of the line segment.
(-1, 1) (5, -5)
Solution:
(-2, 2)
Simplify
(5x + 7) - (2x - 1)
Solution:
(3x + 8)
When a parabola opens upward, the vertex represents this type of point.
What is a minimum point?
This branch of mathematics deals with the relationships between the sides and angles of triangles, and the calculations based on them.
What is trigonometry?
Solve by using the method of substitution.
L1: 2x + y = 2
L2: 3x + 2n = 3
Solution: x = 1, y= 0
Find the radius of the circle.
x² + y² = 16
r = 4
Expand and simplify:
(x + 1) (x + 5)
x² + 6x + 5
When a parabola opens downward, the vertex represents this type of point
What is a maximum point?
To calculate sin(θ), you divide the length of this side by the length of the hypotenuse in a right triangle.
What is the opposite side?
Solve by using the method of elimination.
2x + 8y = 6
-5x - 20y = -15
Infinite solutions
Find the radius of the circle.
x² + y² = 36
r = 6
Factor if possible:
7x + 3m - 2k
Not factorable.
This is the equation of a parabola with vertex at (5,6) opening upward, and no vertical stretch.
What is y = (x−5)² + 6?
To calculate cos(θ), you divide the length of this side by the length of the hypotenuse in a right triangle.
What is the adjacent side?
Solve by using the method of graphing.
y = -2x + 2
y = -2x - 2
Find the midpoint of the line segment.
(6, 8) (10, 4)
Solution:
(8, 6)
Factor if possible:
x² - 7x + 10
(x - 2) (x - 5)
The direction of opening and y-intercept of:
y = -2x² + 4x - 3
Opens down, y int = (0,-3)
To calculate tan(θ), you divide the length of this side by the length of this side in a right triangle.
What is the opposite side divided by the adjacent side?
There are three methods to solving a linear system.
What is graphing, substitution, and elimination?
This term refers to the distance from the center of a circle to any point on the circle.
What is the radius?
Multiplying binomials:
(5x) (3x²)
15x³
Complete the square:
x² + 14x + 49
(x + 7)²
The Pythagorean theorem and SOHCAHTOA can only be applied to this type of triangle.
What is a right triangle?