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Algebra II > Algebra II Vocab Sem. 1 > Flashcards

Algebra II Vocab Sem. 1 Flashcards

1
Q

Slope

(pendiente)

A
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2
Q

Order of Operations

(

A
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3
Q

Formulas (equations)

(Fórmula)

A
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4
Q

Absolute Value

(valor absoluto)

A

The distance from zero

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5
Q

Inequalities

A
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6
Q

Function Notation

(función notación)

A

f(x) replaces y

“f of x”

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7
Q

Absolute Value Inequalities

A
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8
Q

Linear Equations

(ecuación lineal)

A
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9
Q

Point-Slope Form

(Lines)

(forma puno-pendiente)

A
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10
Q

Slope-Intercept Form

(forma pendiente-intercepto)

A

y = mx + b

m= slope

b= y-intercept

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11
Q

Standard Form

(Lines)

(forma general)

A

Ax + By = C

Use cover-up method to find the x- and y- intercepts

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12
Q

System of Equations

A

A system has at least 2 equations

Solve by:

1.elimination 2.substitution 3.find intersection on graph

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12
Q

Substitution - system of equations

(sustitución)

A
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13
Q

Elimination

(Systems)

(eliminación)

A

When the coefficients on a variable match, then the variable can be eliminated by adding or subtracting the equations together.

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14
Q

Parallel Lines

(rectas paralelas)

A

SAME SLOPE

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15
Q

Perpendicular Lines

(rectas perpendiculares)

A

Opposite Reciprocal Slopes

Example: -2/5 and 5/2

(switch sign +/- -/+, and flip)

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16
Q

System of Linear Inequalities

(sistema de tres ecuaciones lineales)

A

Locate the region where the shading overlaps

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17
Q

Matrix

(matriz)

A

Numbers in rows and columns

A is size 4x2

B is size 2x3

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18
Q

Box-and-Whisker Plot

(caja y bigotes)

A

Line up data in order low to high

Cut the data into quaters

25% 25% 25% 25%

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19
Q

Bar Graph

(gráfico de barras)

A
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20
Q

Histogram

(histograma)

A

Bars Touch!

Data points grouped into a range on the x-axis

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21
Q

Scatter Plot

(gráfico de dispersión)

A

Data Points Displayed

(Best-Fit Line)

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22
Q

Venn Diagram

(diagrama de venn)

A

Shows relationship between different sets

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23
Q

Pie Chart

(circle graph)

(gráfico de sectores)

A

Breaks a whole into parts

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24
Q

Polynomial

(polinomio)

A

describes all -nomials

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25
Q

Monomial

(monomio)

A

One Term

8

9x

-7x^4

13y^2

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26
Q

Binomial

(binomio)

A

Two Terms

6x + 9

13x^3 - 4x

2a +4b

x - 2

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27
Q

Trinomial

(trinomio)

A

3 Terms

28
Q

Factor - using GCF

(máximo común divisor)

A
29
Q

Factor - using Difference of Perfect Square

(diferencia de cuadrados perfectos)

A
30
Q

Factor - using Trinomials

(trinomio)

A
31
Q

Factor - using Grouping

(agrupamiento)

A

4 terms

Spit in half - group the front and back

Find the GCF in both halves

32
Q

FOIL - multipy binomials

(multiplicar binomio)

A

Distribute both terms in the first parenthesis

33
Q

Synthetic Division

(división sintética)

A

Ex. (3x3+ 8x2 - 9x + 2) ÷ (x - 1)

The remainder is 4

34
Q

Long Division

(división larga)

A

Ex. (x2 + 10x + 21) ÷ (x+3)

35
Q

Like-Terms

A
36
Q

Coefficients

(coeficientes)

A

Are numbers not letters

37
Q

Degree

(grado)

A

the highest exponent

38
Q

Square Root - Graph

(raíz cuadrada)

A
39
Q

Cubic - Graph

(cúbico)

A

y = x3

40
Q

Reciprocal

(recíproca)

A

Use to multiply fractions across an equation

3/4 x = 15

x = 4/3·15

x = 20

41
Q

Asymptote

A

Approach

Get closer and closer to

42
Q

Perfect Squares

(cuadrados perfectos)

A

Times by itself

43
Q

Conjugates

(conjugados)

A

Change the sign in the middle

Imaginary Conjugates

a + bi , a - bi 4 - 6i, 4 + 6i

Square Root Conjugates

a + sqrt(b) , a - sqrt(b) -4 + sqrt(3) , -4 - sqrt(3)

44
Q

Imaginary Numbers

(los números imaginarios)

A

Square Root of a Negative turns Imaginary

sqrt(-9) = 3i

sqrt(-49) = 7i

45
Q

Simplify Square Roots

(simplificar las raíces cuadradas)

A

Use the Perfect Squares to simplify

46
Q

Exponent Rules

(exponente normas)

A
47
Q

Quadratic Standard Form

(forma cuadrática estándar)

A

Vertex of Parabola

(-b/2a, plug in x)

48
Q

Quadratic Vertex Form

(forma de vértice cuadrática)

A

h ——- moves left/right (backwards)

k ——–moves up/down

a ——–vertical stretch/compress reflects

49
Q

Vertex of a Quadratic

(vértice de una ecuación cuadrática)

A

Need to find x and y

50
Q

Roots, Zeros, X-intercepts - in a Quadratic

(raíces, ceros, intersecciones x)

A
51
Q

Complete the Square - Quadratic

(completar el cuadrado)

A
52
Q

Quadratic Formula

(fórmula cuadrática)

A
53
Q

Quadrants

(cuadrantes)

A
54
Q

Ordered Pair

(par ordenado)

A
55
Q

Exponent

(exponente)

A
56
Q

Substitution in a function

(substitución)

A
57
Q

Compound Inequalities

(desigualdades compuestas)

A

2 inequalities

Must solve on both sides

58
Q

Stem and Leaf Plot

(diagrama de tallo y hoja)

A
59
Q

Multiply Polynomials

(multiplicar polinomios)

A

Distribute then combine

60
Q

Add Complex

(multiplicar complejo)

A
61
Q

Axis of Symmetry

(eje de simetría)

A

Cuts parabola in half

62
Q

Quadratic

Maximum and Minimum

(máximo y mínimo cuadr

A
63
Q

Quadratic

Open up or down

(cuadrática abrir hacia arria o abajo)

A

a — positive opens up

a— negative opens down

64
Q

Is it a function?

(se trata de una función)

A

A function cannot have x’s that repeat!!

65
Q

Multiply Conjugates

(multiplicar conjugados)

A

FOIL - inner and outer cancel

i2 = -1

66
Q

Rationalize the Denominator

(racionalizar el denominador)

A

Get rid of the square root in the denominator

Multiply by the bottom to both sides of the fraction

67
Q

i2

A

-1

68
Q

Imaginary Cycle

i , i2 , i3 , i4 , i5, i6 ,. . . . . . .

(ciclo imaginario)

A

Algebra II (2 decks)

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