unit one exam #1. variable expression an expression that consists of numbers, variables, and an...

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