Expressions
The number that comes before a variable
Coefficient
Simplest form for 'Product of Powers Property': am * an
am+n, add exponents
The two solutions to this polynomial: (x+3)(x-4)=0
A relationship between two quantities in which every input corresponds with an output.
Function/Relation
The graph of all points on a line that pass directly through the origin. Described often using y=kx or k=y/x
direct variation
In exponential form and its answer: 2*2*2*2
24 = 16
Simplest form for 'Power of a Power Property': (am)n
am*n, multiply the exponents.
Finding the roots through factorization: x2+2x=3
Break into two binomials first: x=-3 and x=1
A set of input values of a relation (x-values)
Domain
The graph of all points describing two curves that reflect one another. Typically described using y=k/x or k=xy
inverse variation
The name of an expression in this form: a x 10n
Scientific Notation
Grouping like terms: (2g2+6g-4) + (g2-g)
Add polynomials = 3g2+5g-4
The name of this, on a coordinate plane: x=a, where a can be any real number
A vertical line. These have undefined slopes
Taking a parent function and altering its original position by performing operations to the parent function (translations, reflections, rotations, dilations)
Transformations
Graphical representation of the relationship between two numerical sets of data. Often described as weak or strong.
Scatterplot
The solution to (3x2-18x+184)0
1, property of a 'zero exponent'
Applying the distributive property to polynomials, find the product: (x+2)*(3x2+5x+1)
Multiply x by each term of the trinomial, then add the product of 2 and the trinomial by distribution: 3x3+11x2+11x+2
The direction of shading (above or below) and why: y>4x+7
Shade above because the solution (y) is greater than the function
Identify the parent function and describe the changes performed to the parent function: 3x2+5
Parent function: y=x2; Stretch of 3, Vertically translated 5 units
a linear relationship (or lack of), where dependent values vary as independent values increase. Involves the letter r
Correlation
a-n in rational form
1 / an, property of a negative exponent
Squaring a binomial, written in standard form: (a-b)2
Expand into two terms first, then multiply: a2-2ab+b2
Identifying y1, x1 and m, and writing this in y=mx+b form (slope-intercept form): y-(-2)=-4(x-3)
y1=-2, x1=3, m=-4; y=-4x+10
Represent the following equation using word form: y=(x2-16)/(x2+18x+81)
y equals all of x squared minus sixteen divided by all of x squared plus eighteen x plus eighty one
A data point that falls outside the table's bulk of data. Has a big impact on the mean, but an equal impact on the median as other data points.
Outlier or Extrapolated Point