Basic Arithmetic and Algebra
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Questions and Answers

What is the result of combining two or more numbers?

  • Product
  • Sum (correct)
  • Difference
  • Quotient

Which operation finds the difference between two numbers?

  • Multiplication
  • Addition
  • Division
  • Subtraction (correct)

What does a variable represent in algebra?

  • A known quantity
  • An equation
  • An operation
  • An unknown quantity (correct)

What is the highest power of the variable in a linear equation?

<p>1 (C)</p> Signup and view all the answers

Which of the following is a location in space with no dimension?

<p>Point (D)</p> Signup and view all the answers

Which of the following polygons has four sides?

<p>Quadrilateral (C)</p> Signup and view all the answers

In the Pythagorean theorem, what does 'c' represent?

<p>The hypotenuse of a right-angled triangle (D)</p> Signup and view all the answers

What is the measure of the space inside a shape called?

<p>Area (C)</p> Signup and view all the answers

What does trigonometry primarily study?

<p>Relationships between angles and sides of triangles (A)</p> Signup and view all the answers

In a right triangle, what is the sine of an angle defined as?

<p>Ratio of the opposite side to the hypotenuse (D)</p> Signup and view all the answers

Which branch of calculus deals with the accumulation of quantities?

<p>Integral calculus (B)</p> Signup and view all the answers

What does a derivative measure?

<p>The instantaneous rate of change of a function (B)</p> Signup and view all the answers

What is the purpose of descriptive statistics?

<p>To summarize and describe the main features of a dataset (D)</p> Signup and view all the answers

What is a prime number?

<p>An integer greater than 1 with only two divisors: 1 and itself (A)</p> Signup and view all the answers

Which area of mathematics deals with discrete, non-continuous structures?

<p>Discrete Mathematics (D)</p> Signup and view all the answers

What does mathematical analysis rigorously study?

<p>Calculus, real and complex numbers, and related topics (D)</p> Signup and view all the answers

Which field studies the properties of space preserved under continuous deformations?

<p>Topology (D)</p> Signup and view all the answers

What is the primary focus of numerical analysis?

<p>Developing algorithms for solving mathematical problems numerically (B)</p> Signup and view all the answers

Flashcards

Addition

Combining numbers to find their total.

Subtraction

Finding the difference between two numbers.

Multiplication

Repeated addition of a number to itself.

Division

Splitting a number into equal parts.

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Variables

Symbols representing unknown or changeable quantities.

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Equation

A mathematical statement showing equality.

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Angle

Two lines sharing a common endpoint.

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Pythagorean Theorem

a² + b² = c² in a right triangle.

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Sine (sin)

Ratio of opposite side to hypotenuse in a right triangle.

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Cosine (cos)

Ratio of adjacent side to hypotenuse in a right triangle.

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Tangent (tan)

Ratio of opposite side to adjacent side in a right triangle.

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Derivative

Rate of change of a function.

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Integral

Area under a curve or accumulation of rates of change.

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Limit

Value a function approaches as input approaches some value.

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Prime Numbers

Integers greater than 1 with only two divisors: 1 and itself.

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Greatest Common Divisor (GCD)

Largest positive integer that divides two or more integers without a remainder.

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Least Common Multiple (LCM)

Smallest positive integer divisible by two or more integers.

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Topology

Properties preserved under continuous deformations (stretching, twisting).

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Study Notes

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Description

An introduction to basic mathematical concepts, operations like addition, subtraction, multiplication, and division, and fundamental algebraic principles including variables and expressions. Serves as a foundation for further mathematical studies.

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