ALEKS
Undefined
When there is a vertical line that has different y points, but the same x point
Dividing by a negative number in an inequality
You must flip the sign
a(b+c)
ab+ac
(a+b)(c+d)
ac+ad+bc+bd
cosine ratio
adjacent ÷ hypotenuse
Graphing < or > on a coordinate plane
dotted line
Perimeter of a rectangle
2Length + 2width [or (length + width) x 2]
Graphing method
Graphing the system of equations and finding the point at which they intersect
Elimination method
solving systems by adding or subtracting equations to eliminate a variable
length of a sector
x°/360 times (2 pi r), where x is the degrees in the angle
Area of a sector
x°/360 times (∏r²), where x is the degrees in the angle
Point-Slope form
y-y₁=m(x-x₁)
Solution of the system of linear equations
Any ordered pair in a system that makes all the equations true
a³+b³
(a+b)(a²-ab+b²)
a²+2ab+b²
(a+b)²
a²-b²
(a-b)(a+b)
a³-b³
(a-b)(a²+ab+b²)
a²-2ab+b²
(a-b)²
Slope
(y₂-y₁)/(x₂-x₁)
Quadratic Formula
-b±[√b²-4ac]/2a
Perimeter (circumference) of a circle
2 pi r
Perimeter of a square
4s (where s = length of a side)
Absolute value equation
A V-shaped graph that points upward of downward
Radius (Radii)
A segment connecting the center of a circle to any point on the circle
Translation
A shift of a graph horizontally, vertically, or both, which results in a graph of the same shape and size, but in a different position.
Area of rectangle, square, parallelogram
A=bh
Central Angle
An ange whose vertex is the center of the circle
Standard form
Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
Circle
Is the set of points which are all the same distance (its radius) from a certian point( the center).
Arc
Part of a circle connecting two points on the circle.
Substitution method
Replacing one variable with an equivalent expression containing the other variable
Graphing ≥ or ≤ on a coordinate plane
solid line
Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
Chord
The distance from one point on the circle to another point on the circle.
Sector
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
Zero
When there is a horizontal line that has different x points, but the same y point
tangent ratio
opposite ÷ adjacent
sine ratio
opposite ÷ hypotenuse
Graphing ≤ or < on a coordinate plane
shade downwards or to the left
Graphing ≥ or > on a coordinate plane
shade upwards or to the right
Area of a square
s², where s = length of a side
One solution
when the system of equations have different slopes
Infinitely many solutions
when the system of equations have the same slope and y-intercept
No solution
when the system of equations have the same slope but different y-intercepts
Inverse Variation
y=k/x
Direct Variation
y=kx
Slope intercept form
y=mx+b
Slope-Intercept
y=mx+b
Linear parent function
y=x or f(x)=x
Area of a triangle
½(base x height) [or (base x height)÷2]
Area of a trapezoid
½(b₁ +b₂) x h [or (b₁ +b₂) x h÷2]
Area of a circle
Πr²
