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Matematika dan Logika SAT - Mathematics

Di sini Anda akan mempelajari beberapa kata dalam bahasa Inggris yang terkait dengan matematika, seperti "variabel", "histogram", "domain", dll. yang Anda butuhkan untuk lulus SAT Anda.

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SAT Vocabulary for Math and Logic
intercept
[Kata benda]

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

titik potong, intercept

titik potong, intercept

Ex: The graph clearly shows the intercepts where the function crosses the axes .Grafik dengan jelas menunjukkan **titik potong** di mana fungsi melintasi sumbu.
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plane
[Kata benda]

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

bidang, permukaan datar

bidang, permukaan datar

Ex: Understanding planes is fundamental to the study of three-dimensional shapes and spaces .Memahami **bidang** adalah dasar untuk mempelajari bentuk dan ruang tiga dimensi.
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function
[Kata benda]

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

fungsi

fungsi

Ex: Statisticians analyze data using functions such as mean , median , and standard deviation to understand distributions and trends .Statistikawan menganalisis data menggunakan **fungsi** seperti mean, median, dan standar deviasi untuk memahami distribusi dan tren.
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to model
[kata kerja]

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

memodelkan, mewakili

memodelkan, mewakili

Ex: By modeling the financial system , they were able to predict the economic impact of the policy changes .Dengan **memodelkan** sistem keuangan, mereka dapat memprediksi dampak ekonomi dari perubahan kebijakan.
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constant
[Kata benda]

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

konstanta

konstanta

Ex: In a mathematical formula , a constant does not change , unlike a variable .Dalam rumus matematika, sebuah **konstanta** tidak berubah, tidak seperti variabel.
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expression
[Kata benda]

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

ekspresi, rumus

ekspresi, rumus

Ex: Euler ’s formula , ( e^{ipi } + 1 = 0 ) , is often cited as a beautiful mathematical expression due to its simplicity and depth .Rumus Euler, ( e^{ipi} + 1 = 0 ), sering dikutip sebagai **ekspresi** matematika yang indah karena kesederhanaan dan kedalamannya.
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equivalent
[Adjektiva]

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

setara

setara

Ex: The decimal 0.75 and the fraction 3/4 are equivalent because they represent the same quantity .Desimal 0,75 dan pecahan 3/4 adalah **setara** karena mewakili jumlah yang sama.
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to intersect
[kata kerja]

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

berpotongan, bersilangan

berpotongan, bersilangan

Ex: The paths of the two hikers intersected in the dense forest .Jalur dua pendaki **berpotongan** di hutan lebat.
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scatter plot
[Kata benda]

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

plot sebar, diagram titik

plot sebar, diagram titik

Ex: The scatter plot helped the scientists visualize the spread of the experimental results .**Plot sebaran** membantu para ilmuwan memvisualisasikan penyebaran hasil eksperimen.
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line of best fit
[Kata benda]

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

garis kecocokan terbaik, garis regresi

garis kecocokan terbaik, garis regresi

Ex: The software automatically calculates and displays the line of best fit on the graph .Perangkat lunak secara otomatis menghitung dan menampilkan **garis paling cocok** pada grafik.
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variable
[Kata benda]

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

variabel

variabel

Ex: In statistical analysis , variables can be classified as independent or dependent , depending on their role in the study .Dalam analisis statistik, **variabel** dapat diklasifikasikan sebagai independen atau dependen, tergantung pada perannya dalam penelitian.
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scale
[Kata benda]

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

skala, tingkatan

skala, tingkatan

Ex: The Likert scale is commonly used in surveys to gauge responses .Skala Likert umumnya digunakan dalam survei untuk mengukur tanggapan.
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figure
[Kata benda]

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

gambar, grafik

gambar, grafik

Ex: The figure in the article provided a visual representation of the survey results .**Gambar** dalam artikel memberikan representasi visual dari hasil survei.
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domain
[Kata benda]

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

domain, daerah definisi

domain, daerah definisi

Ex: The teacher asked the students to identify the domain of each function on their homework .Guru meminta siswa untuk mengidentifikasi **domain** dari setiap fungsi dalam pekerjaan rumah mereka.
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graph
[Kata benda]

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

graf, diagram

graf, diagram

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histogram
[Kata benda]

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

histogram, diagram batang

histogram, diagram batang

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interval
[Kata benda]

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

interval, jarak

interval, jarak

Ex: An interval like [ 2 , 2 ] includes only the number 2 , as both endpoints are the same .Sebuah **interval** seperti [2, 2] hanya mencakup angka 2, karena kedua titik akhirnya sama.
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linear function
[Kata benda]

a mathematical function that creates a straight line when graphed

fungsi linear, aplikasi linear

fungsi linear, aplikasi linear

Ex: The relationship between distance and time in uniform motion can be described by a linear function.Hubungan antara jarak dan waktu dalam gerak seragam dapat dijelaskan oleh sebuah **fungsi linear**.
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rational function
[Kata benda]

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

fungsi rasional, pecahan rasional

fungsi rasional, pecahan rasional

Ex: When graphing a rational function, it's important to identify any asymptotes and intercepts to understand its behavior.Saat menggambar grafik **fungsi rasional**, penting untuk mengidentifikasi asimtot dan titik potong untuk memahami perilakunya.
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coordinate
[Kata benda]

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

koordinat, koordinat geografis

koordinat, koordinat geografis

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

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

konstanta bilangan bulat, konstanta integer

konstanta bilangan bulat, konstanta integer

Ex: The formula calculates the area of a square by multiplying the length of its side by itself , without needing an integer constant.Rumus menghitung luas persegi dengan mengalikan panjang sisinya dengan dirinya sendiri, tanpa memerlukan **konstanta bilangan bulat**.
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linear equation
[Kata benda]

an equation that makes a straight line when graphed

persamaan linear, persamaan garis lurus

persamaan linear, persamaan garis lurus

Ex: The teacher explained how to convert a standard form linear equation to slope-intercept form .Guru menjelaskan cara mengubah **persamaan linear** dari bentuk standar ke bentuk slope-intercept.
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to correspond
[kata kerja]

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

berkorespondensi, memiliki hubungan langsung dengan

berkorespondensi, memiliki hubungan langsung dengan

Ex: In the table of values , each row corresponds to a different solution of the linear equation .Dalam tabel nilai, setiap baris **berkorespondensi** dengan solusi berbeda dari persamaan linear.
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term
[Kata benda]

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

istilah, elemen

istilah, elemen

Ex: Each term in the arithmetic series is obtained by adding a constant difference to the previous term.Setiap **suku** dalam deret aritmatika diperoleh dengan menambahkan selisih konstan ke suku sebelumnya.
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axis
[Kata benda]

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

sumbu, garis referensi

sumbu, garis referensi

Ex: When solving equations, it's common to plot the functions on a graph to visualize their behavior relative to the axes.Saat menyelesaikan persamaan, umumnya memplot fungsi pada grafik untuk memvisualisasikan perilakunya relatif terhadap **sumbu**.
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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

fungsi polinomial, fungsi suku banyak

fungsi polinomial, fungsi suku banyak

Ex: The division algorithm for polynomials allows you to divide one polynomial function by another.Algoritma pembagian untuk polinomial memungkinkan Anda membagi satu **fungsi polinomial** dengan yang lain.
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to satisfy
[kata kerja]

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

memenuhi, memuaskan

memenuhi, memuaskan

Ex: The inequality y>2x is satisfied by all points above the line represented by the equation y=2x.Ketidaksamaan y > 2x **dipenuhi** oleh semua titik di atas garis yang diwakili oleh persamaan y = 2x.
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coefficient
[Kata benda]

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

koefisien, faktor pengali

koefisien, faktor pengali

Ex: When combining like terms in 3p+2p , the coefficients are added to get 5p .Saat menggabungkan suku-suku sejenis dalam 3p + 2p, **koefisien** ditambahkan untuk mendapatkan 5p.
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quadratic
[Kata benda]

an equation where the highest power of the variable is squared

kuadrat

kuadrat

Ex: The roots of the quadratic x2 − 4 = 0 are x=2 and x=−2.Akar-akar dari persamaan **kuadrat** x2 − 4 = 0 adalah x=2 dan x=−2.
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regression
[Kata benda]

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

regresi

regresi

Ex: Polynomial regression can model relationships that are not linear .**Regresi** polinomial dapat memodelkan hubungan yang tidak linear.
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bimodal
[Adjektiva]

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

bimodal, memiliki dua modus

bimodal, memiliki dua modus

Ex: A bimodal curve on the graph suggests the presence of two dominant traits in the population .Sebuah kurva **bimodal** pada grafik menunjukkan adanya dua sifat dominan dalam populasi.
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equidistant
[Adjektiva]

having equal distances from two or more points

berjarak sama, memiliki jarak yang sama dari dua titik atau lebih

berjarak sama, memiliki jarak yang sama dari dua titik atau lebih

Ex: The lighthouse was built at an equidistant point from the surrounding islands .Mercusuar itu dibangun di titik yang **berjarak sama** dari pulau-pulau sekitarnya.
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collinear
[Adjektiva]

having points that lie on the same straight line

kolinear, terletak pada garis lurus yang sama

kolinear, terletak pada garis lurus yang sama

Ex: The architect ensured that the columns in the design were collinear for aesthetic balance .Arsitek memastikan bahwa kolom dalam desain adalah **kolinear** untuk keseimbangan estetika.
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theorem
[Kata benda]

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 .Siswa sering menemui berbagai **teorema** saat mempelajari matematika lanjutan.
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period
[Kata benda]

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

periode, interval

periode, interval

Ex: In the Fourier series expansion of a function, the period plays a fundamental role in determining the coefficients of the trigonometric terms.Dalam ekspansi deret Fourier suatu fungsi, **periode** memainkan peran fundamental dalam menentukan koefisien suku-suku trigonometri.
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to evaluate
[kata kerja]

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

mengevaluasi

mengevaluasi

Ex: To evaluate the expression 2x+3 when x=5 , substitute x=5 into the expression to get 2(5)+3=13 .Untuk **mengevaluasi** ekspresi 2x+3 saat x=5, gantikan x=5 ke dalam ekspresi untuk mendapatkan 2(5)+3=13.
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expanded notation
[Kata benda]

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

notasi diperluas, dekomposisi numerik

notasi diperluas, dekomposisi numerik

Ex: In expanded notation, each digit of a number is represented by its place value , such as hundreds , tens , and ones .Dalam **notasi yang diperluas**, setiap digit angka diwakili oleh nilai tempatnya, seperti ratusan, puluhan, dan satuan.
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a method of writing numbers as the product of a coefficient and a power of 10

notasi ilmiah, penulisan ilmiah

notasi ilmiah, penulisan ilmiah

Ex: Engineers employ scientific notation when describing the dimensions of nanoscale structures in microelectronics and materials science .Para insinyur menggunakan **notasi ilmiah** ketika menggambarkan dimensi struktur skala nano dalam mikroelektronika dan ilmu material.
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to diagram
[kata kerja]

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

membuat diagram, menyematikan

membuat diagram, menyematikan

Ex: The project manager diagrammed the timeline to keep everyone on track with deadlines .Manajer proyek **membuat diagram** timeline untuk menjaga semua orang tetap pada jalurnya dengan tenggat waktu.
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matrix
[Kata benda]

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

matriks, tabel

matriks, tabel

Ex: Matrix addition and subtraction are performed element-wise , combining corresponding elements of two matrices.Penjumlahan dan pengurangan **matriks** dilakukan per elemen, menggabungkan elemen yang sesuai dari dua matriks.
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factorial
[Kata benda]

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

faktorial, faktorial

faktorial, faktorial

Ex: Factorials are essential in the binomial theorem for expanding expressions .**Faktorial** sangat penting dalam teorema binomial untuk memperluas ekspresi.
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vector
[Kata benda]

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

vektor, vektor

vektor, vektor

Ex: The force exerted by a tensioned rope can be represented as a vector in mechanics .Gaya yang diberikan oleh tali yang tegang dapat direpresentasikan sebagai **vektor** dalam mekanika.
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a two-dimensional system used to represent points in space

bidang koordinat standar, bidang Kartesius standar

bidang koordinat standar, bidang Kartesius standar

Ex: In physics , vectors are often represented as arrows on the standard coordinate plane.Dalam fisika, vektor sering direpresentasikan sebagai panah pada **bidang koordinat standar**.
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a mathematical function that relates the angles of a triangle to the lengths of its sides, commonly including sine, cosine, and tangent

fungsi trigonometri

fungsi trigonometri

Ex: By using the inverse trigonometric function, we can determine the angle from a given ratio of sides .Dengan menggunakan fungsi **trigonometri** invers, kita dapat menentukan sudut dari rasio sisi yang diberikan.
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augmented matrix
[Kata benda]

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

matriks yang diperluas, matriks tambahan

matriks yang diperluas, matriks tambahan

Ex: The entries in the augmented matrix correspond to the coefficients of the variables and the constants in the system of equations .Entri dalam **matriks yang diperluas** sesuai dengan koefisien variabel dan konstanta dalam sistem persamaan.
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unit vector
[Kata benda]

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

vektor satuan, vektor dengan besaran 1

vektor satuan, vektor dengan besaran 1

Ex: To describe the direction of a force in physics , we often use a unit vector representing the direction without considering the magnitude .Untuk menggambarkan arah suatu gaya dalam fisika, kita sering menggunakan **vektor satuan** yang mewakili arah tanpa mempertimbangkan besarnya.
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determinant
[Kata benda]

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

determinan

determinan

Ex: In linear algebra , the determinant is used to determine the volume scaling factor of the linear transformation described by the matrix .Dalam aljabar linear, **determinan** digunakan untuk menentukan faktor penskalaan volume dari transformasi linear yang dijelaskan oleh matriks.
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Matematika dan Logika SAT
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