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Matematika dan Penilaian ACT - Matematika

Pelajari kosakata ACT untuk matematika, termasuk angka, operasi, persamaan, variabel, rumus, dan istilah lain yang digunakan dalam pemecahan masalah kuantitatif.

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ACT Vocabulary for Math and Assessment
function
function
[Kata benda]

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

fungsi

fungsi

Ex: In calculus, a function represents a relationship between input and output variables, often denoted as f(x). 
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to model
to model
[kata kerja]

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

memodelkan, mewakili

memodelkan, mewakili

Ex: Economists model supply and demand to understand market trends and make forecasts. 
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constant
constant
[Kata benda]

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

konstanta

konstanta

Ex: Mathematicians often use constants to simplify complex equations and ensure consistency. 
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expression
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: The algebraic expression ( 2x + 3 ) represents a linear equation when set equal to zero. 
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equivalent
equivalent
[Adjektiva]

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

setara

setara

Ex: In probability, two events are equivalent if they have the same probability of occurring. 
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variable
variable
[Kata benda]

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

variabel

variabel

Ex: In algebra, variables such as x, y, and z represent quantities that can vary or change in value. 
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scale
scale
[Kata benda]

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

skala, tingkatan

skala, tingkatan

Ex: The earthquake's intensity was measured on the Richter scale. 
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figure
figure
[Kata benda]

a symbol that represents any number between 0 and 9

angka, nomor

angka, nomor

Ex: In mathematics, figures are used to express numerical values. 
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domain
domain
[Kata benda]

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

domain, daerah asal

domain, daerah asal

Ex: Zero is excluded from the domain because it would make the denominator zero. 
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graph
graph
[Kata benda]

the set of points whose coordinates satisfy a particular equation or mathematical relation

grafik, kurva

grafik, kurva

Ex: The graph of the function crosses the x-axis twice. 
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diagram
diagram
[Kata benda]

a simplified drawing or plan used to show the parts, structure, operation, or relationships of something

diagram

diagram

Ex: Sarah included a simple diagram to explain the process. 
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histogram
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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scatter plot
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 indicated a cluster of data points in the upper right corner, suggesting a trend. 

Plot sebar menunjukkan sekelompok titik data di sudut kanan atas, menunjukkan suatu tren.

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intercept
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 teacher explained how to calculate the intercepts of a quadratic equation. 

Guru menjelaskan cara menghitung perpotongan dari persamaan kuadrat.

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plane
plane
[Kata benda]

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

bidang, permukaan datar

bidang, permukaan datar

Ex: In geometry, a plane is defined by three non-collinear points. 
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coordinate
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 treasure map listed cryptic coordinates for the island. 
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line of best fit
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 scatter plot with the line of best fit helped us understand the relationship between temperature and energy consumption. 

Plot sebar dengan garis kecocokan terbaik membantu kami memahami hubungan antara suhu dan konsumsi energi.

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to intersect
to intersect
[kata kerja]

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

berpotongan, bersilangan

berpotongan, bersilangan

Ex: The trails intersect near the lake, making it easy to switch paths. 

Jalur-jalur itu berpotongan dekat danau, memudahkan untuk berpindah jalur.

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interval
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: The interval (a, b), where a and b are real numbers, represents all numbers between a and b but excludes the endpoints. 
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linear function
linear function
[Kata benda]

a mathematical function that creates a straight line when graphed

fungsi linear, aplikasi linear

fungsi linear, aplikasi linear

Ex: The teacher explained that any equation of the form y = mx+b represents a linear function. 

Guru menjelaskan bahwa setiap persamaan dalam bentuk y=mx+b mewakili fungsi linear.

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rational function
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: To find the vertical asymptotes of a rational function, set the denominator equal to zero and solve for x. 

Untuk menemukan asimtot vertikal dari fungsi rasional, atur penyebut sama dengan nol dan selesaikan untuk x.

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integer constant
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: Integer constants are used in mathematical expressions to represent fixed numerical values. 

Konstanta integer digunakan dalam ekspresi matematika untuk mewakili nilai numerik tetap.

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nonlinear
nonlinear
[Adjektiva]

not following a straight or predictable line, sequence, or pattern

nonlinear, tidak terduga

nonlinear, tidak terduga

Ex: Nonlinear equations are more complex and may have multiple solutions. 

Persamaan nonlinear lebih kompleks dan mungkin memiliki beberapa solusi.

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to correspond
to correspond
[kata kerja]

to be directly related to or paired with another value, element, or item

berkorespondensi,  bersesuaian

berkorespondensi, bersesuaian

Ex: Each button corresponds to a particular function. 
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term
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: To simplify the expression, you need to combine the terms with the same variables. 
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axis
axis
[Kata benda]

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

sumbu, garis referensi

sumbu, garis referensi

Ex: To plot the data accurately, align the points with the appropriate coordinates on the x-axis and y-axis. 

Untuk memplot data dengan akurat, sejajarkan titik-titik dengan koordinat yang sesuai pada sumbu x dan sumbu y.

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polynominal function

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: Polynomial functions are used to model phenomena such as population growth, economic trends, and projectile motion. 

Fungsi polinomial digunakan untuk memodelkan fenomena seperti pertumbuhan populasi, tren ekonomi, dan gerakan proyektil.

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to satisfy
to satisfy
[kata kerja]

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

memenuhi,  memuaskan

memenuhi, memuaskan

Ex: Students must determine which values satisfy both equations. 
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coefficient
coefficient
[Kata benda]

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

koefisien, faktor pengali

koefisien, faktor pengali

Ex: The coefficient matrix in the linear system helps to simplify solving for the variable values. 

Matriks koefisien dalam sistem linear membantu menyederhanakan penyelesaian untuk nilai variabel.

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quadratic
quadratic
[Kata benda]

an equation where the highest power of the variable is squared

kuadrat

kuadrat

Ex: Factoring is one method to solve a quadratic, provided it can be easily factored. 

Faktorisasi adalah salah satu metode untuk menyelesaikan persamaan kuadrat, asalkan dapat dengan mudah difaktorkan.

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regression
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: Multiple regression allows for the analysis of the effect of several independent variables on a dependent variable. 

Regresi berganda memungkinkan analisis pengaruh beberapa variabel independen terhadap variabel dependen.

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equidistant
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 new park is equidistant from all the major residential areas in the town. 

Taman baru ini berjarak sama dari semua area perumahan utama di kota.

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collinear
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: In geometry, proving that points are collinear can simplify many problems. 

Dalam geometri, membuktikan bahwa titik-titik tersebut kolinear dapat menyederhanakan banyak masalah.

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theorem
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: The Pythagorean theorem is a well-known principle in geometry. 

Teorema Pythagoras adalah prinsip yang terkenal dalam geometri.

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period
period
[Kata benda]

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

periode, interval

periode, interval

Ex: When graphing a periodic function, understanding its period is crucial for accurately representing its behavior. 
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to evaluate
to evaluate
[kata kerja]

to determine the numerical value of a mathematical expression, function, or quantity

mengevaluasi,  menghitung

mengevaluasi, menghitung

Ex: Mia evaluated the function at x equals two. 
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expanded notation
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: When writing numbers in expanded notation, each digit is represented according to its place value. 

Saat menulis angka dalam notasi diperluas, setiap digit direpresentasikan sesuai dengan nilai tempatnya.

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scientific notation

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: Scientists use scientific notation to express the extremely small sizes of subatomic particles, such as quarks and neutrinos. 

Para ilmuwan menggunakan notasi ilmiah untuk mengungkapkan ukuran yang sangat kecil dari partikel subatomik, seperti quark dan neutrino.

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matrix
matrix
[Kata benda]

a rectangular arrangement of numbers, symbols, or expressions in rows and columns

matriks,  matriks

matriks, matriks

Ex: Daniel used a matrix to represent the system of equations. 
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determinant
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: Understanding determinants is essential for advanced studies in eigenvalues and eigenvectors. 

Memahami determinan sangat penting untuk studi lanjutan tentang nilai eigen dan vektor eigen.

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factorial
factorial
[Kata benda]

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

faktorial, faktorial

faktorial, faktorial

Ex: To solve the problem, you need to find the factorial of 7. 

Untuk memecahkan masalah, Anda perlu menemukan faktorial dari 7.

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vector
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: Acceleration, a vector in kinematics, represents the rate of change of velocity over time. 

Percepatan, sebuah vektor dalam kinematika, mewakili tingkat perubahan kecepatan terhadap waktu.

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standard coordinate plane

a two-dimensional system used to represent points in space

bidang koordinat standar, bidang Kartesius standar

bidang koordinat standar, bidang Kartesius standar

Ex: Students learn to identify quadrants on the standard coordinate plane and locate points using ordered pairs (x, y). 

Siswa belajar mengidentifikasi kuadran pada bidang koordinat standar dan menemukan titik menggunakan pasangan terurut (x, y).

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trigonometric function

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: The graphs of trigonometric functions, such as sine and cosine, exhibit periodic behavior. 

Grafik dari fungsi trigonometri, seperti sinus dan kosinus, menunjukkan perilaku periodik.

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augmented matrix
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: To solve a system of linear equations using the method of Gaussian elimination, we first write the system in augmented matrix form. 

Untuk menyelesaikan sistem persamaan linear menggunakan metode eliminasi Gaussian, pertama-tama kita menulis sistem dalam bentuk matriks yang diperluas.

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unit vector
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: A unit vector is often employed in mathematics to define orthonormal bases and to describe geometric transformations. 

Sebuah vektor satuan sering digunakan dalam matematika untuk mendefinisikan basis ortonormal dan untuk menggambarkan transformasi geometri.

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