ACT MATH CARDS
About this set
Created by:
CDBusch on January 14, 2011
Subjects:
pre-algebra, algebra, geometry, trigonometry
Classes:
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56 terms
Terms | Definitions |
|---|---|
 Quadratic Formula | -b±[√b²-4ac]/2a |
| Slope | (y₂-y₁)/(x₂-x₁) = m |
| Slope-Intercept | y=mx+b |
| 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 |
| Function | f(x) is a set of ordered pairs (x,y) where NO two of the ordered pairs have the same x value |
| 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 (slope) | When there is a vertical line that has different y points, but the same x point |
| Zero (slope) | When there is a horizontal line that has different x points, but the same y point |
| If you multiply or divide both sides of an inequality by a negative number | Reverse the direction of the inequality sign - flip the inequlity 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 |
| Substitution method | Putting numbers in place of variables in an equation. |
| Absolute value equation | A V-shaped graph that points upward or 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) |
| Area of rectangle, square, parallelogram | A = lw or (length x width) |
| Circumference (perimeter) of a circle | C = ∏d OR C = 2∏r |
| 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 (= r) |
| Diameter | The distance across the circle through the center of the circle.The diameter is twice the radius. |
| Tangent | a LINE that touches the circle at EXACTLY ONE POINT |
| Central Angle | An angle whose vertex is the center of the circle |
| Percentage Formula | Y% of X = Y/100 x X ex: What % of 120 is 10 or 10 = Y/100 x 120 |
| VOLUME of PRISM (cube etc.) | V = lwh or (length x width x height) |
| VOLUME of CYLINDER | V = ∏r²h |
| Perimeter | Distance around any object |
| Pythagorean Theorem | c² = a² + b² where c is the hypotenuse of the triangle and a and b are 2 sides of the triangle |
| Equilateral Triangle | 3 sides have the same length |
| Isosceles Triangle | 2 sides have the same length |
| Complete arc of a circle | 360 degrees |
| Degrees of a straight line | 180 degrees |
| Ratio | comparison between 2 quantities such 1/4 or 1:4 |
| Proportion | equation with TWO RATIOS 1/4 = x/8 or 1:4 = x:8 |
| Mean | Average of a list of numbers or values (divide the sum by the number of values) |
| Median | middle value (number) of a list |
| Mode | the value (number) that appears most often |
| Scientific Notation | Example: 320 = 3.2 x 10² Decimal point placed after the first digit followed by 10 to a power |
| Absolute Value | the number value such as |-4| = 4 = |4| |
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