| Term | Definition |
|---|
| Quadratic Formula | -b±[√b²-4ac]/2a |
| Slope | (y₂-y₁)/(x₂-x₁) |
| Slope-Intercept | y=mx+b |
| a³-b³ | (a-b)(a²+ab+b²) |
| a³+b³ | (a+b)(a²-ab+b²) |
| a²-b² | (a-b)(a+b) |
| a²-2ab+b² | (a-b)² |
| a²+2ab+b² | (a+b)² |
| (a+b)(c+d) | ac+ad+bc+bd |
| a(b+c) | ab+ac |
| sine ratio | opposite ÷ hypotenuse |
| cosine ratio | adjacent ÷ hypotenuse |
| tangent ratio | opposite ÷ adjacent |
| A function is ___________ a relation | always |
| Direct Variation | y=kx |
| Inverse Variation | y=k/x |
| Slope intercept form | y=mx+b |
| Point-Slope form | y-y₁=m(x-x₁) |
| 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 |
| Undefined | When there is a vertical line that has different y points, but the same x point |
| Zero | When there is a horizontal line that has different x points, but the same y point |
| Dividing by a negative number in an inequality | You must flip the sign |
| Graphing < or > on a coordinate plane | dotted line |
| Graphing ≥ or ≤ on a coordinate plane | solid line |
| Graphing ≥ or > on a coordinate plane | shade upwards or to the right |
| Graphing ≤ or < on a coordinate plane | shade downwards or to the left |
| Infinitely many solutions | when the system of equations have the same slope and y-intercept |
| One solution | when the system of equations have different slopes |
| No solution | when the system of equations have the same slope but different y-intercepts |
| All direct variations are ____________________ | linear functions |
| A linear function is a function that _____________ a line | graphs |
| A parent function is the simplest ____________ of a function | equation |
| Linear parent function | y=x or f(x)=x |
| Elimination method | solving systems by adding or subtracting equations to eliminate a variable |
| Solution of the system of linear equations | Any ordered pair in a system that makes all the equations true |
| Graphing method | Graphing the system of equations and finding the point at which they intersect |
| Substitution method | Replacing one variable with an equivalent expression containing the other variable |
| Absolute value equation | A V-shaped graph that points upward of downward |
| 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 a circle | Πr² |
| Area of a square | s², where s = length of a side |
| 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] |
| Perimeter of a rectangle | 2Length + 2width [or (length + width) x 2] |
| Perimeter of a square | 4s (where s = length of a side) |
| Perimeter (circumference) of a circle | 2 pi r |
| Area of rectangle, square, parallelogram | A=bh |
| Circumference of a circle | ∏d OR 2∏r |
| Area of a sector | x°/360 times (∏r²), where x is the degrees in the angle |
| length of a sector | x°/360 times (2 pi r), where x is the degrees in the angle |
| Circle | Is the set of points which are all the same distance (its radius) from a certian point( the center). |
| Radius (Radii) | A segment connecting the center of a circle to any point on the circle |
| 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. |
| Arc | Part of a circle connecting two points on the circle. |
| Central Angle | An ange whose vertex is the center of the circle |
| Circumference Formula | C =∏d |
| Area of Circles | A=∏r2 |
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