unit one exam #1. variable expression an expression that consists of numbers, variables, and an...
TRANSCRIPT
Unit One exam #1
Variable Expression
An expression that consists of numbers, variables, and an
operation.
2x+3
Base of a Power
base
• The number or expression that is used as a factor in a repeated multiplication. So the 5 is the base.
term
The part of an expression that areadded together.
2x+6
So the terms in the above expressions are (2x) and (6).
Expanded Form
Expanded Form
appropriate
appropriate
• The correct or proper use for something.
Operation
Operation
In math operation refers to the action in a math sentence or problem. So 2x++
In the variable expression 2x+4 the operation is to add.
Like Terms
Like Terms
In an variable expression 2x+3x+4x-2n, we see a common variable x, so (2x+3x+4x) are like terms.
Commutative Property
Commutative Property
•a+b+c=c+b+a•1+2+3=2+3+1•axbxc=cxbxa•1x2x3=2x3x1
Associative Property
Associative Property
• Grouping does not matter
Distributive Property
Distributive Property
•a(b+c) = axb+axc •2(3+4) = 2x3+2x4
Identity property of
Addition
Identity property of
Addition• What number plus a number is the same number?• Or what plus eight is eight? • 8+0=8• -15+0=-15• 2/3+0=2/3• 5.76+0=5.76• C+0=c
Identity property of
Multiplication
Identity Property of Multiplication
• What number TIMES a number is the same number?
• Or what TIMES eight is eight?
• 8x1=8• -15x1=-15• 2/3x1=2/3• cx1= c
Inverse Property of MultiplicationMultiplicative Inverse
Inverse Property ofMultiplication Inverse
,
Inverse Property of addition
Inverse Property of addition
• If you start with eight and add the invers the opposite you get zero.
• 8+-8=0• 1/2 + -1/2 = 0
Coefficient
Coefficient
4x+3
The 4 is the coefficient
Constant
Constant
2x+3The 3 is the
constant
Variable
Variable
2x+3The x is the
variable
Like Terms
Like Terms
4x and 3xBoth terms have an x
so they are like terms.
Addition
Addition
• Sumar• To add• Plus • The sum of • Increased by • Total • More than• Added to • Sum• Altogether• More than• Increased
Subtraction
Subtraction• Menos• Minus • The difference of • Decreased by• Fewer than• Less than• Subtracted from• Difference• Less-than• Take away • Decreased• compare
Multiplication
Multiplication• Multiplicar• Times the product of • Multiplied by• Of• Product• a(b)• Times• Groups of
Division
Division
• Dividid• Divided by• The quotient of • Into• Equally• Equal groups• Quotient• 3/a
Power
Power
• A power is a way of writing repeated multiplication.
Base
Power
• The base of a power is the factor, and the exponent of a power is the number of times the factor is used.
Unit Rate
Rate is a ratio of two quantities measured in different units.
You are looking for the cost of one. So if you buy 6 sodas for $7.50, you will see that the cost is $1.25. To find the answer you divide 7.50 by 6.
Ratio
A ratio is a comparison of two numbers using division.
ab
1:21to2
comparacion entre dos numeros usando la division. La razon de la “A” a “B” (donde “B# 0) puede escribirse como”A” a “B”, c omo A:B
Proportion
A proportion is an equation stating that two ratios are
equivalent.
1 = 42 8
Simple Interest
I=prtI = interest
P= principal amount (how much you borrow)
r= rate (percent)t= time ( in years)
Q-3Test #1
Histogram
A graph that displays data from a frequency table. The histogram has one bar for each interval. The length
indicates the frequency.1-10; 11-20; 21-30
una grafica que muestra datos de una tabla de frecuencias. Un histrograma tiene una barra para cada intervalo de la tabla que contiene valores de datos. La longitud de la barra indica la frecuencia para intervalo.
Bar Graph
The lengths of the bars are used to compare data.
Un tipo de grafica en el que las longitudes de las barras se usan
para representar y comparar datos.
Circle
A graph that displays data as sections in a circle. The total represents all of the data as 100%.
El conjunto de todos los puntos en un plano que estan en la misma distancia, llamada radio, de
un punto fijo, llamado centro.
Box and Whiskers
Used to look at mean, medium, and mode.
Diagrama que divide un conjunto de datos en cuatro partes usando el extremo inferior, el cuartil Inferior, el cuartil
superior y el extremo superior.
Stem-and-LeafPlot
In order from least to greatest, this is used to show how data values are
distributed. The last digit is in the leaf section and the remaining digits are in
the stem.
Diagrama que muestra como se distribuyen los valores de un conjunto de
datos cada valor esta separado en una hoja (el ultimo digito) y un tallo (los
digitos restantes). En un diagrama de tallo y hojas ordenada, las hojas para cada tallo estan en orden de menor a
mayor.
Line Graph
• Line graphs display change over time.
• Un tipo de grafica en la que los puntos que representan pares de datos se conectan por segmentos de recta.
Qualitative-how it smells-how it looks - The colors
its green
Quantitative- the things you count
- how much- how many
-one car
Scatter Plots
Scatter Plots
• How two thins are correlated.(or connected)
• Are used to predict what might happen in the future.
• La grafica de un conjunto de pares de datos (x,y), que es un grupo de puntos en un plano de coordenadas.
Correlation
Correlation: How two things are connected.
Trend Line
A Trend line show and predicts what can happen in the future. They are positive negative or none. Trend Line: a line that divides the dots. When you are talking about trends
as líneas de tendencia se usan normalmente con los gráficos de precios, sin embargo, también se puede utilizar con una serie de gráficos de análisis técnicos tales como MACD y RSI. Las líneas de tendencia se puede utilizar para identificar gráficos de tendencias positivas y negativas, por lo que un gráfico de tendencia positiva forma una línea upsloping cuando el soporte y los puntos de resistencia pivotes están alineados, y un gráfico de tendencia negativa forma una línea de pendiente descendente cuando los puntos de pivote de soporte y resistencia son alineados.
Mean
MeanThe average
Take the numbers 1,2,3 and add themthen divide by the number of inputs.
So 6 divide by 3 equals 2The average is 2
la suma de los valores en conjunto de datos dividida por el numero de valores.
Median
The Middle number(1,2,3,4,5,6,7,8,9)
el valor que esta en el medio de un conjunto de datos cuando los valores estan escritos en orden numerico. Si
el conjunto de datos tiene un numero par de valores, la mediana es la media
de los dos valores que estan en el medio.
Mode
The number that appears the most.
(2,3,4,4,4,5,6,7)The mode is 4
En conjunto de datos, el valor que ocurre con mayor frecuencia. Un conjunto de datos puede no
tener moda,o puede tener una moda o mas de una moda.
Congruent
Congruent
• Having the same shape and size
• Shape has the same size lengths
Similar
Similar• Same shape
different size
Square Number
Square Number
• Numbers that are squares of integers • A number that
when placed in an array can be sorted into a square
Square Root
Square Roots
• A square root of a number n is a number m which , when multiplied by itself, equals n.
• So the square root of 9 equals 3 because 3x3= 9
Y=mx+b
Y=mx+b
• Standard y-intercept formula
Slope Formula
Slope formula
(x,y) (x,y)1’s 2’s
Complementary angles
Complementary angles
Angles that add up to90 degrees
Next Unit
Acute Angle
Acute Angleangles that measure between
1-89 degrees
Obtuse Angle
Obtuse AngleAngles that measure
between 91-179 degrees
Right angle
Right anglean angle that measures
90 degrees
Straight angle
Straight anglean angle measures
180 degrees
Complement Angles
Complement Anglesare two angle that measure
exactly 90 Degrees
Supplementary angles
Supplementary angles are two angle that measure
exactly 180 degrees
120 60
Line Segment
• Line segment: is a part of a line.
Line Segment
Congruent Line Segment
Congruent Line Segment
• Congruent Lines segments: are two or more lines with the same measurement.
Congruent Angles
Congruent Angles
• Congruent Angles: two or more angles with the exact measure in degrees.
Angle Bisector
Angle Bisector
• Angle Bisector is a line that divides an angle into two parts.
Parallel Lines
Parallel Lines
• Parallel Lines: two lines that never intercept or touch.
Perpendicular Lines
Perpendicular Lines
• Perpendicular Lines: two lines that intersect at exactly 90 degrees.
Transversal
Transversal
• Transversal a line that intersects two parallel lines.
Corresponding angle Angles
Corresponding Angles
• Angles that share the same line so angles • 1,3• 5,7• 2,4• 6,8
Vertical Angles
Vertical Angles
• Vertical Angles; are angle catty corner of across from each other.
• 1,4• 3,2• 5,8• 7,8
Adjacent angle
• Adjacent angle are two angles that share wall.• 1,3• 5,6• 2,4
Chords
Chords
• Chords are any lines passing through a circle, they may not be the exact middle.
•
Skew Lines
Skew Lines
Memorize
• 5, 2, 7, 4 are the same• 1, 6 , 3, 8 are the same
CRT
Commutative Property
Commutative Property
• commutative property 1+2+3 = 2+3+1• c+b+n = n+c+b
Associative Property
Associative Property
• (1+2)+3+(4+5) = 1+2+(3+4)+5
Distributive Property
•3(5+s) = 3x5 + 3xS
