FOIL Method
FOIL Method is a handy way to remember how to multiply 2 binomials. Definition FOIL stands for “First, Outer, Inner, Last“ F O I L First Outer Inner Last It is the sum of: multiplying the First terms, multiplying the Outer terms, multiplying the Inner terms, and multiplying the Last terms. Examples (a+b)(c+d) = ac + ad + … Continue reading "FOIL Method"
Read MoreMonths
There are twelve months in a year: Months in Detail Here are the twelve months in detail: Month Order Month Name 3 Letters Format Days in Month 1 January Jan 31 2 February Feb 28 (29 in leap years) 3 March Mar 31 4 April Apr 30 5 May May 31 6 June Jun 30 … Continue reading "Months"
Read MorePermutations and Combinations
Definitions a Combination is when the order doesn’t matter. a Permutation is When the order does matter. In other words: A Permutation is an ordered Combination. Permutations There are 2 types of permutation: Permutation with Repetition: such as the lock. It could be “444”. Permutation without Repetition: for example the first three people in a … Continue reading "Permutations and Combinations"
Read MoreSolving Systems of Linear Equations Using Matrices
Example Solve x + y + z = 6 2y + 5z = −4 2x + 5y − z = 27 Change into matrix form AX = B where A is the 3×3 matrix of x, y, z coefficients X is x, y, z B is 27, 6, −4 Then find the value of x, y, z X = … Continue reading "Solving Systems of Linear Equations Using Matrices"
Read MoreSolving SAS Triangles
SAS (Side, Angle, Side) is when we know 2 sides and the angle between them. How to solve an SAS triangle ? use the Law of Cosines to calculate the unknown side, use the Law of Sines to find the smaller of the other two angles, use the three angles add to 180° to find … Continue reading "Solving SAS Triangles"
Read MoreInverse Functions
Definition The inverse is shown by putting a little “-1” after the function name, like this: f-1(y), where y = f(x) It says “f inverse of y“ Here we have the function f(x) = 3x+2 The flow is Inverse Functions make 3x + 2 back to x , substitute y = 3x + 2, then So, … Continue reading "Inverse Functions"
Read MoreLines of Symmetry of Plane Shapes
The line of symmetry is the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves. How to find a shape has a Line of Symmetry ? You can find a shape has a Line of Symmetry or not by folding it When the folded … Continue reading "Lines of Symmetry of Plane Shapes"
Read MoreFunction Transformations
How move and resize the graphs of functions? How move the graphs of functions? Add a constant to the y-value will move it up or down Add a constant to the x-value will move it left or right Examples Function c > 0 c < 0 f(x) = x2 g(x) = x2 + c f(x) … Continue reading "Function Transformations"
Read MoreStem and Leaf Plots
Definition A Stem and Leaf Plot is a special table where each data value is split into a “stem” (the first digit or digits) and a “leaf” (usually the last digit). See this example: Example “47” is split into “4” (stem) and “7” (leaf). 10, 11, 22, 23, 24, 35, 36, 47, 48, 49 Stem … Continue reading "Stem and Leaf Plots"
Read MoreAbsolute Value
Definition of Absolute Value Absolute value or modulus |x| of a real number x is the non-negative value of x without regard to its sign. |x| = x for a positive x, |x| = −x for a negative x (in which case −x is positive) |0| = 0. For example, the absolute value of 5 is … Continue reading "Absolute Value"
Read More
