Mathematics

to stop or catch before reaching intended destination

The security team intercepted a suspicious package at the airport, preventing a potential threat.

a winged flying vehicle driven by one or more engines

The plane soared gracefully through the clouds.

a loosely defined social gathering or occasion

He attended a small function at his friend's house.

a person who is employed by an artist to pose for a painting, photograph, etc.

The artist hired a model to sit for a portrait, capturing the subject's unique features and expressions.

happening continuously without stopping for a long time

The constant noise from the construction site made it difficult to concentrate.

a specific look on someone's face, indicating what they are feeling or thinking

Her eyes widened in surprise, an expression that conveyed her shock better than words ever could.

having the same meaning, quality, value, etc. as a different person or thing

Completing an online or correspondence course would serve as an equivalent requirement to the traditional classroom version.

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

The two roads intersect at the traffic light.

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

The scatter plot revealed a positive correlation between hours of study and exam scores.

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

The line of best fit on the scatter plot showed a clear upward trend.

subject to change or variation

The weather in this region is variable, with frequent shifts between sunshine and rain.

the size, amount, or degree of one thing compared with another

The scale of the earthquake was so immense that it caused widespread damage across the region.

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

The report included several figures to make the data easier to understand.

a territory or area under the control or authority of a ruler or government

The castle stood at the heart of the king's domain.

a visual representation of the relationship between quantities, shown as points plotted relative to axes

The graph displayed the relationship between hours studied and test scores.

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

a period of time between two events or moments

During the interval between classes, students gathered in the hallway to chat.

a mathematical function that creates a straight line when graphed

In economics, supply and demand can often be modeled using linear functions to predict market behavior.

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

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

to control and organize the different parts of an activity and the group of people involved so that a good result is achieved

The event planner coordinated all aspects of the wedding, ensuring that vendors, guests, and the wedding party were synchronized for a seamless celebration.

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

In the expression 2x+5, the integer constant is 5.

an equation that makes a straight line when graphed

To solve a linear equation, you need to isolate the variable on one side of the equation.

to match or be similar to something else

The data collected from the experiment closely corresponds to the predictions made by the scientific model.

to describe something using a specific word or phrase

The linguist termed the language phenomenon code-switching to describe the alternating use of two languages in conversation.

the central point or line around which an object turns

The Earth spins on its axis once every twenty-four hours.

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

In algebra, students learn how to add, subtract, multiply, and factor polynomial functions.

to make someone happy by doing what they want or giving them what they desire

He satisfied his girlfriend by taking her out for a romantic dinner.

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

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

an equation where the highest power of the variable is squared

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

a return to a previous or earlier stage of development, behavior, or condition

After making significant progress, the team experienced a regression in their performance, causing setbacks in the project.

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

The bimodal distribution of exam scores indicated two groups of students with different performance levels.

having equal distances from two or more points

The point is equidistant from both the x-axis and the y-axis in the coordinate plane.

having points that lie on the same straight line

The three points are collinear, forming a straight line on the graph.

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

Mathematicians often prove theorems to establish mathematical truths.

a span of time, often with a clear beginning and end

We lived in the city for a short period.

to calculate or judge the quality, value, significance, or effectiveness of something or someone

The teacher evaluates students' performance through tests and assignments.

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

Students learn expanded notation to better understand the structure and value of numbers.

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

When discussing the size of galaxies, astronomers often use scientific notation to represent their vast distances from Earth.

a graphic design intended to explain something

The teacher used a diagram to explain the structure of the cell.

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

A 2x3 matrix represents a collection of numbers organized in two rows and three columns.

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

The factorial of 5 is calculated as 5!=5×4×3×2×1=120.

a person, animal, or microorganism that carries and transmits a disease from one host to another

Mosquitoes are the primary vector of malaria.

a two-dimensional system used to represent points in space

The standard coordinate plane provides a visual representation of mathematical relationships between variables in two dimensions.

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

The sine and cosine trigonometric functions are fundamental in calculating wave patterns.

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

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

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

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

a determining or causal element or factor