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Matematika at Lohika SAT - Mathematics

Dito matututo ka ng ilang mga salitang Ingles na may kaugnayan sa matematika, tulad ng "variable", "histogram", "domain", atbp. na kakailanganin mo upang makapasa sa iyong SATs.

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SAT Vocabulary for Math and Logic
intercept
[Pangngalan]

the point where a line, curve, or surface crosses an axis on a graph

ang intercept, punto ng intercept

ang intercept, punto ng intercept

Ex: The graph clearly shows the intercepts where the function crosses the axes .Malinaw na ipinapakita ng graph ang **mga intercept** kung saan tumatawid ang function sa mga axes.
plane
[Pangngalan]

a flat, two-dimensional surface that extends infinitely in all directions

eroplano, patag na ibabaw

eroplano, patag na ibabaw

Ex: Understanding planes is fundamental to the study of three-dimensional shapes and spaces .Ang pag-unawa sa mga **eroplano** ay pangunahing para sa pag-aaral ng mga three-dimensional na hugis at espasyo.
function
[Pangngalan]

(mathematics) a quantity whose value changes according to another quantity's varying value

pungkion

pungkion

Ex: Statisticians analyze data using functions such as mean , median , and standard deviation to understand distributions and trends .Sinusuri ng mga istatistiko ang data gamit ang mga **function** tulad ng mean, median, at standard deviation upang maunawaan ang mga distribusyon at trend.
to model
[Pandiwa]

to make a representation of something, especially one based on mathematics

magmodelo, kumatawan

magmodelo, kumatawan

Ex: By modeling the financial system , they were able to predict the economic impact of the policy changes .Sa pamamagitan ng **pagmomodelo** sa sistemang pampinansyal, nagawa nilang mahulaan ang epekto sa ekonomiya ng mga pagbabago sa patakaran.
constant
[Pangngalan]

a quantity or value that remains the same and does not change in a specific mathematical context

konstante

konstante

Ex: In a mathematical formula , a constant does not change , unlike a variable .Sa isang mathematical formula, ang isang **constant** ay hindi nagbabago, hindi tulad ng isang variable.
expression
[Pangngalan]

a combination of numbers, variables, operations, and grouping symbols that collectively represent a numerical value or relationship

pahayag, pormula

pahayag, pormula

Ex: Euler ’s formula , ( e^{ipi } + 1 = 0 ) , is often cited as a beautiful mathematical expression due to its simplicity and depth .Ang pormula ni Euler, ( e^{ipi} + 1 = 0 ), ay madalas na binanggit bilang isang magandang matematikal na **expression** dahil sa kanyang simplicity at depth.
equivalent
[pang-uri]

(of mathematical expressions or quantities) having the same value or function, even if they appear in different forms

katumbas

katumbas

Ex: The decimal 0.75 and the fraction 3/4 are equivalent because they represent the same quantity .Ang decimal na 0.75 at ang fraction na 3/4 ay **katumbas** dahil pareho silang kumakatawan sa parehong dami.
to intersect
[Pandiwa]

to meet or cross another path, line, etc. at a particular point

magkrus, magtagpo

magkrus, magtagpo

Ex: The paths of the two hikers intersected in the dense forest .Ang mga landas ng dalawang manlalakbay ay **nagtagpo** sa makapal na gubat.
scatter plot
[Pangngalan]

a type of graph used in statistics and data analysis to display and compare two sets of numerical data

scatter plot, graph ng pagkakalat

scatter plot, graph ng pagkakalat

Ex: The scatter plot helped the scientists visualize the spread of the experimental results .Ang **scatter plot** ay nakatulong sa mga siyentipiko na mailarawan ang pagkalat ng mga resulta ng eksperimento.
line of best fit
[Pangngalan]

a straight line drawn through the center of a group of data points on a scatter plot representing the best approximation of the relationship between the variables being studied

linya ng pinakamahusay na pagkakatugma, linya ng pagbabalik

linya ng pinakamahusay na pagkakatugma, linya ng pagbabalik

Ex: The software automatically calculates and displays the line of best fit on the graph .Ang software ay awtomatikong nagkalkula at nagpapakita ng **linya ng pinakamahusay na pagkakasya** sa graph.
variable
[Pangngalan]

(mathematics) a quantity that is capable of assuming different values in a calculation

variable

variable

Ex: In statistical analysis , variables can be classified as independent or dependent , depending on their role in the study .Sa statistical analysis, ang mga **variable** ay maaaring uriin bilang independent o dependent, depende sa kanilang papel sa pag-aaral.
scale
[Pangngalan]

a system of numerical values used to quantify and compare levels, degrees, or values

sukatan, antas

sukatan, antas

Ex: The Likert scale is commonly used in surveys to gauge responses .Ang Likert **scale** ay karaniwang ginagamit sa mga survey upang sukatin ang mga tugon.
figure
[Pangngalan]

a diagram or illustration that is used to show or explain something, such as a chart, graph, or drawing

pigura, tsart

pigura, tsart

Ex: The figure in the article provided a visual representation of the survey results .Ang **pigura** sa artikulo ay nagbigay ng visual na representasyon ng mga resulta ng survey.
domain
[Pangngalan]

the set of all possible input values for which a given function is defined

domain, saklaw ng kahulugan

domain, saklaw ng kahulugan

Ex: The teacher asked the students to identify the domain of each function on their homework .Hiniling ng guro sa mga mag-aaral na tukuyin ang **domain** ng bawat function sa kanilang takdang-aralin.
graph
[Pangngalan]

(mathematics) a set of points whose coordinates are in agreement with one another

grap, diagrama

grap, diagrama

histogram
[Pangngalan]

a diagram consisting of bars with different heights that represent the amount of a variable

histogram, diagram ng mga bar

histogram, diagram ng mga bar

interval
[Pangngalan]

a set of real numbers that includes all the numbers between any two specified numbers within the set

pagitan, interbal

pagitan, interbal

Ex: An interval like [ 2 , 2 ] includes only the number 2 , as both endpoints are the same .Ang isang **interval** tulad ng [2, 2] ay kasama lamang ang numero 2, dahil pareho ang mga endpoint.
linear function
[Pangngalan]

a mathematical function that creates a straight line when graphed

linear na function, linear na aplikasyon

linear na function, linear na aplikasyon

Ex: The relationship between distance and time in uniform motion can be described by a linear function.Ang relasyon sa pagitan ng distansya at oras sa unipormeng galaw ay maaaring ilarawan ng isang **linear na function**.
rational function
[Pangngalan]

a function that can be expressed as the ratio of two polynomials, where the denominator is not zero

rasyonal na pag-andar, rasyonal na praksyon

rasyonal na pag-andar, rasyonal na praksyon

Ex: When graphing a rational function, it's important to identify any asymptotes and intercepts to understand its behavior.Kapag gumuguhit ng graph ng isang **rational function**, mahalagang kilalanin ang anumang asymptotes at intercepts upang maunawaan ang pag-uugali nito.
coordinate
[Pangngalan]

any set of numbers that represents an exact position on a map or graph

koordinado, heograpikong koordinado

koordinado, heograpikong koordinado

Ex: The drone was programmed to fly to specific coordinates.
integer constant
[Pangngalan]

a fixed numerical value that is a whole number, either positive, negative, or zero

integer constant, constanteng buumbilang

integer constant, constanteng buumbilang

Ex: The formula calculates the area of a square by multiplying the length of its side by itself , without needing an integer constant.Ang formula ay kinakalkula ang area ng isang parisukat sa pamamagitan ng pag-multiply ng haba ng gilid nito sa sarili nito, nang hindi nangangailangan ng **integer constant**.
linear equation
[Pangngalan]

an equation that makes a straight line when graphed

linear equation, equation ng tuwid na linya

linear equation, equation ng tuwid na linya

Ex: The teacher explained how to convert a standard form linear equation to slope-intercept form .Ipinaliwanag ng guro kung paano i-convert ang isang **linear equation** mula sa standard form patungo sa slope-intercept form.
to correspond
[Pandiwa]

to have a direct relationship or alignment with something else, such as paired values or elements

tumugma, magkaroon ng direktang relasyon sa

tumugma, magkaroon ng direktang relasyon sa

Ex: In the table of values , each row corresponds to a different solution of the linear equation .Sa talahanayan ng mga halaga, ang bawat hilera ay **tumutugma** sa iba't ibang solusyon ng linear equation.
term
[Pangngalan]

a single number, variable, or the product of numbers and variables in an expression or equation, separated by addition or subtraction operators

termino, elemento

termino, elemento

Ex: Each term in the arithmetic series is obtained by adding a constant difference to the previous term.Ang bawat **term** sa arithmetic series ay nakukuha sa pamamagitan ng pagdaragdag ng isang pare-parehong pagkakaiba sa nakaraang term.
axis
[Pangngalan]

a reference line used in coordinate systems to provide a framework for locating points

aksis, linya ng sanggunian

aksis, linya ng sanggunian

Ex: When solving equations, it's common to plot the functions on a graph to visualize their behavior relative to the axes.Kapag naglulutas ng mga equation, karaniwan ang pag-plot ng mga function sa isang graph upang mailarawan ang kanilang pag-uugali kaugnay ng mga **axis**.

a mathematical function that can be expressed as a sum of terms, where each term is a constant multiplied by a variable raised to a non-negative integer power

polynomial function, function na polynomial

polynomial function, function na polynomial

Ex: The division algorithm for polynomials allows you to divide one polynomial function by another.Ang division algorithm para sa polynomials ay nagbibigay-daan sa iyo na hatiin ang isang **polynomial function** sa isa pa.
to satisfy
[Pandiwa]

to fulfill the conditions or requirements of a mathematical statement, equation, or inequality

tugunan, matugunan

tugunan, matugunan

Ex: The inequality y>2x is satisfied by all points above the line represented by the equation y=2x.Ang hindi pagkakapantay-pantay na y > 2x ay **nasisiyahan** ng lahat ng mga punto sa itaas ng linya na kinakatawan ng equation na y = 2x.
coefficient
[Pangngalan]

a numerical or constant factor that multiplies a variable in an algebraic term

koepisyent, factor na multiplicative

koepisyent, factor na multiplicative

Ex: When combining like terms in 3p+2p , the coefficients are added to get 5p .Kapag pinagsama ang mga katulad na termino sa 3p + 2p, ang mga **coefficient** ay idinagdag upang makuha ang 5p.
quadratic
[Pangngalan]

an equation where the highest power of the variable is squared

kuwadradiko

kuwadradiko

Ex: The roots of the quadratic x2 − 4 = 0 are x=2 and x=−2.Ang mga ugat ng **quadratic** equation x2 − 4 = 0 ay x=2 at x=−2.
regression
[Pangngalan]

a statistical method used to model and analyze the relationship between a dependent variable and one or more independent variables

pagsasauli

pagsasauli

Ex: Polynomial regression can model relationships that are not linear .Ang polynomial **regression** ay maaaring mag-modelo ng mga relasyon na hindi linear.
bimodal
[pang-uri]

having or involving two distinct modes, peaks, or most frequent values

bimodal, may dalawang moda

bimodal, may dalawang moda

Ex: A bimodal curve on the graph suggests the presence of two dominant traits in the population .Ang isang **bimodal** na kurba sa graph ay nagmumungkahi ng pagkakaroon ng dalawang nangingibabaw na katangian sa populasyon.
equidistant
[pang-uri]

having equal distances from two or more points

pantay ang layo, may parehong distansya mula sa dalawa o higit pang puntos

pantay ang layo, may parehong distansya mula sa dalawa o higit pang puntos

Ex: The lighthouse was built at an equidistant point from the surrounding islands .Ang parola ay itinayo sa isang puntong **pantay ang layo** mula sa mga nakapalibot na isla.
collinear
[pang-uri]

having points that lie on the same straight line

kolinear, nakahanay sa iisang tuwid na linya

kolinear, nakahanay sa iisang tuwid na linya

Ex: The architect ensured that the columns in the design were collinear for aesthetic balance .Tiniyak ng arkitekto na ang mga haligi sa disenyo ay **collinear** para sa aesthetic balance.
theorem
[Pangngalan]

a statement or proposition that has been proven to be true based on previously established axioms, definitions, and other theorems within a particular mathematical or logical system

teorema

teorema

Ex: Students often encounter various theorems while studying advanced mathematics .Madalas na nakatagpo ang mga estudyante ng iba't ibang **teorema** habang nag-aaral ng advanced na matematika.
period
[Pangngalan]

a recurring interval or length associated with a mathematical function or pattern

panahon, pagitan

panahon, pagitan

Ex: In the Fourier series expansion of a function , the period plays a fundamental role in determining the coefficients of the trigonometric terms .Sa Fourier series expansion ng isang function, ang **period** ay may pangunahing papel sa pagtukoy ng mga coefficient ng mga trigonometric terms.
to evaluate
[Pandiwa]

to find the numerical value of an expression, equation, or function by substituting specific values for the variables

suriin

suriin

Ex: To evaluate the expression 2x+3 when x=5 , substitute x=5 into the expression to get 2(5)+3=13 .Upang **suriin** ang expression na 2x+3 kapag x=5, palitan ang x=5 sa expression upang makuha ang 2(5)+3=13.
expanded notation
[Pangngalan]

a way of representing numbers as the sum of each digit multiplied by its place value

pinalawak na notasyon, numerikal na pagkabulok

pinalawak na notasyon, numerikal na pagkabulok

Ex: In expanded notation, each digit of a number is represented by its place value , such as hundreds , tens , and ones .Sa **expanded notation**, ang bawat digit ng isang numero ay kinakatawan ng halaga ng lugar nito, tulad ng daan-daan, sampu, at isa.

a method of writing numbers as the product of a coefficient and a power of 10

siyentipikong notasyon, siyentipikong pagsulat

siyentipikong notasyon, siyentipikong pagsulat

Ex: Engineers employ scientific notation when describing the dimensions of nanoscale structures in microelectronics and materials science .Gumagamit ang mga inhinyero ng **scientific notation** kapag inilalarawan ang mga sukat ng mga istruktura sa nanoscale sa microelectronics at materials science.
to diagram
[Pandiwa]

to represent or illustrate something using a drawing, chart, or schematic

idiagrama, isematiko

idiagrama, isematiko

Ex: The project manager diagrammed the timeline to keep everyone on track with deadlines .Ang project manager ay **nagdiagram** ng timeline upang manatiling nasa track ang lahat sa mga deadline.
matrix
[Pangngalan]

a rectangular array of numbers or symbols organized in rows and columns, commonly used in linear algebra for representing equations, transformations, and vector operations

matris, talahanayan

matris, talahanayan

Ex: Matrix addition and subtraction are performed element-wise , combining corresponding elements of two matrices.Ang pagdaragdag at pagbabawas ng **matris** ay isinasagawa nang elemento-por-elemento, pinagsasama ang mga katumbas na elemento ng dalawang matris.
factorial
[Pangngalan]

the product of all positive whole numbers from 1 to a given number

paktoryal, paktoryal

paktoryal, paktoryal

Ex: Factorials are essential in the binomial theorem for expanding expressions .Ang **factorials** ay mahalaga sa binomial theorem para palawakin ang mga expression.
vector
[Pangngalan]

an ordered set of numbers that describes both magnitude and direction, commonly used to represent quantities like displacement, velocity, or force in physics and engineering

vector, vector

vector, vector

Ex: The force exerted by a tensioned rope can be represented as a vector in mechanics .Ang puwersang ipinataw ng isang tensioned na lubid ay maaaring katawanin bilang isang **vector** sa mekanika.

a two-dimensional system used to represent points in space

karaniwang coordinate plane, karaniwang Cartesian plane

karaniwang coordinate plane, karaniwang Cartesian plane

Ex: In physics , vectors are often represented as arrows on the standard coordinate plane.Sa pisika, ang mga vector ay madalas na kinakatawan bilang mga arrow sa **standard coordinate plane**.

a mathematical function that relates the angles of a triangle to the lengths of its sides, commonly including sine, cosine, and tangent

trigonometrikong function

trigonometrikong function

Ex: By using the inverse trigonometric function, we can determine the angle from a given ratio of sides .Sa pamamagitan ng paggamit ng inverse **trigonometric** function, maaari nating matukoy ang anggulo mula sa isang ibinigay na ratio ng mga gilid.
augmented matrix
[Pangngalan]

a way of representing a system of linear equations in matrix form

pinahabang matris, dinagdagan na matris

pinahabang matris, dinagdagan na matris

Ex: The entries in the augmented matrix correspond to the coefficients of the variables and the constants in the system of equations .Ang mga entry sa **augmented matrix** ay tumutugma sa mga coefficient ng mga variable at ang mga constants sa sistema ng mga equation.
unit vector
[Pangngalan]

a vector that has a magnitude of 1 and represents direction without regard to scale

unit vector, vector na may sukat na 1

unit vector, vector na may sukat na 1

Ex: To describe the direction of a force in physics , we often use a unit vector representing the direction without considering the magnitude .Upang ilarawan ang direksyon ng isang puwersa sa pisika, madalas nating ginagamit ang isang **unit vector** na kumakatawan sa direksyon nang hindi isinasaalang-alang ang magnitude.
determinant
[Pangngalan]

a single number calculated from the elements of a square matrix that indicates important properties, like whether the matrix can be inverted

determinant

determinant

Ex: In linear algebra , the determinant is used to determine the volume scaling factor of the linear transformation described by the matrix .Sa linear algebra, ang **determinant** ay ginagamit upang matukoy ang volume scaling factor ng linear transformation na inilalarawan ng matrix.
Matematika at Lohika SAT
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