ECHS Algebra 2 Test 8
Terms in this set (53)
A system of equations that has at least one solution. Coinciding or Intersecting lines
A system of equations that has no solutions.
A system of equations that has infinite solutions
A system of equations that has only one solution.
The change in the y-coordinates divided by the change in the x-coordinates.
y = mx + b
y- y₁ = m ( x - x₁)
Vertical line test
Used to determine if a relation is a function
an "AND" statement symbolized with a ∧
an "OR" statement symbolized with a ∨
an "IF - Then" statement symbolized with a →
an "If and only if" statement symbolized with a ↔
Shifting parenthesis only - do not change the order of the terms or factors
Change the order of the terms or factors
Remove parenthesis by multiplying all terms by GCF or factor out the GCF and put in parenthesis
If a=b and b= c then a = c
the input values of a function. x-coordinates. independent variable
the output values of a function. y-coordinates. dependent variable
a solution which does not satisfy the original equation but works for a derived or obtained equation from the original problem.
y = x²
Parent function for all quadratic functions whose graph is a parabola.
y = x
Parent function for all linear function whose graph is a line.
Difference of two squares
product of conjugates
Perfect Square Trinomial
A binomial squared
Types of Central tendency
Mean, Median, Mode
Types of Dispersion
Range, Variance, Standard Deviation
y = # has a slope of zero
x = # has an undefined slope
Ax + By = C
Standard form of a linear equation
Ax² + Bx + C = 0
Standard form of a quadratic equation
The minimum or maximum point of a quadratic function which is at the point (h, k)
f(x) = a (x - h)² + k
Vertex form of a quadratic function The a determines whether the graph opens up or down and whether the graph is stretched, compressed or neither from the parent function. Vertex is at the point (h, k) Axis of symmetry is at x = h.
An expression with the independent variable in a radicand
An expression which is a quotient of two polynomials.
A numerical or constant quantity placed before and multiplying the variable in an algebraic expression
A number without a variable as a factor
Least common Multiple - used to simplify complex fractions
Least common denominator - needed to add or subtract rational expressions
Greatest Common Factor -used to factor a polynomial
Greatest Common Divisor - used to reduce a rational expression
values of the variable at which a function is undefined
Multiplicative inverse of a matrix
a matrix, if it exists, such that the product of it and another matrix forms an identity matrix.
Two events that have no outcomes in common
Zero Product Property
If ab = 0 then either a = 0 and/or b = 0
Solution of an Equation
AKA Roots of the equation, zeroes of the function and x-intercepts
Lines with the same slope but different y-intercepts
Lines with the same slope and y-intercepts
Lines with different slopes
Lines with different slopes which are opposite reciprocals
< or > the line is dashed ≤ or ≥ the line is solid < or ≤ shade below > or ≥ shade above You must solve for y before determining shading
Simplest radical form
a radical which contains no perfect roots
a number which has only two factors one and itself
a number which has more than two factors
Even root of an even power resulting in an odd exponent
you must put absolute value bars around the variable
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