math vocab Flashcards

(40 cards)

1
Q

Absolute Value Function

A

a function that contains an algebraic expression within absolute value symbols.

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2
Q

Binomial

A

The sum of two monomials

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3
Q

Complex Conjugates

A

Two complex numbers of the form a+bia and a-b. product of complex conjugates is a real number

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4
Q

Complex Number

A

A number a+bi where a and b are real numbers. The number a is the real part of the complex number and the bi is the imaginary part.

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5
Q

Conjugates

A

The expression a+√b and a- √b used to rationalize the denominator, who’s product is always a rational number

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6
Q

Constant of Variation

A

a in the equation y=ax. a is the slope

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7
Q

Correlation Coefficient

A

A number denoting b r1 from -1 to 1 that measures how close the points are to forming a line

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8
Q

Direct Variation

A

A linear relationship that can be modeled by the equation y=ax always. y varies directly with x. always had the same y-intercept of 0

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9
Q

Domain

A

The set of all input values (x)

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10
Q

Function

A

A relation in which every input has exactly one output

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11
Q

Function Notation

A

A way to name a function y=mx+b –> f(x)=mx+b. f of x or the value of function on f at x

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12
Q

Imaginary unit i

A

The imaginary unit i is defined as i=√-1 –> i2 =-1

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13
Q

Intercept Form of Quadratic
Equation

A

y = a (x-p)(x-q) p,q = x-intercepts. axis of symmetry is halfway between (p,0)+(q,0). x=p+q/2

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14
Q

Linear Function

A

A function that can be written in the form y=mx+b first degree function. slope cannot be 0. Parent –> y=x, y=1x=0

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15
Q

Linear Inequality of Two Variables

A

System of two or more inequalities in two variables

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16
Q

Linear Programming

A

Process of optimizing a linear objective function subject to a set of constraints

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17
Q

Linear Regression

A

scatter plot and trend line found. As many points above line as below the line. Uses positive and negative correlations.

18
Q

Maximum/Minimum Value of Quadratic Function

A

The vertex’s y-coordinate minimum if a > 0 = open upwards, maximum if a<0 = open downwards

19
Q

Monomial

A

An expression that is a number, a variable, or a product of numbers and/or variables

20
Q

Opposite

A

The opposite of b is written as -b. Two numbers that are the same distance from zero on the number line.

21
Q

Parabola

A

The U-shaped graph of a quadratic function

22
Q

Parent Function

A

the simplest function for all the family of functions
Constant -> f(x)=
Linear-> f (x)=x
Absolute value -> f(x)=IxI
Quadratic ->f (x) = x2

23
Q

Piecewise Function

A

A system of equation; each has its own domain

24
Q

Point-Slope Form

A

y-y1=m(x-x1). M is the slope and (x1,y1) is a point on the line. The graph looks like a line with a slope and passes through the point

25
Pure Imaginary Number
0+bi, b does not equal 0
26
Quadratic Equation in One Variable
equation on one variable that can be written as ax2 +bx+c=0
27
Quadratic Formula
if ax2 +bx +c=0 where a does not equal 0 then that equals the quadratic equation.
28
Radicand
The number beneath the radical sign
29
Range
The set of all output values (y)
30
Rationalizing the Denominator
The process of eliminating a radical from the denominator of a fraction. Rewrite the denominator as a radical/number
31
Reciprocal
The reciprocal of b is written as 1/b. multiplication inverse
32
Relation
any mapping/pairing of input and output values
33
Scatter Plot
A graph of a set of data points
34
Slope
Nonvertical line. The ration of the vertical change (rise) to horizontal change (run)= rise/run.
35
Slope-Intercept Form
y=mx+b. the graph is a line with slope (m) and y-int.
36
Solution of a System of Linear Equations in Two Variables
An ordered pair that satisfies the equation (x,y)
37
Standard Form of a Linear Equation
Ax+By=C. A,B, and C are not decimals or fractions. A and B are not 0. A is not negative. Graph by rewriting in slope-int form.
38
Vertex of a Parabola
The lowest or highest point on a parabola is the vertex. AOS passes through the vertex
39
x-intercept
where graph intercepts the x axis (x,0)
40
y-intercept
where graph intercepts y axis (0,y)