ALEKS

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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


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