Mathematics: Concepts and Subdisciplines

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Questions and Answers

What are the major subdisciplines of modern mathematics according to the text?

  • Calculus, trigonometry, and statistics
  • Arithmetic, topology, and probability
  • Number theory, algebra, and geometry (correct)
  • Differential equations, linear algebra, and discrete mathematics

What is the main activity in mathematics according to the text?

  • Discovery of properties of abstract objects using pure reason (correct)
  • Application of mathematical formulas in real-life scenarios
  • Experimentation with physical objects
  • Analysis of data collected from scientific experiments

What is stipulated to have certain properties in modern mathematics?

  • Entities from nature
  • Scientific experiments
  • Abstract objects and axioms (correct)
  • Mathematical formulas

In what areas is mathematics essential according to the text?

<p>Natural sciences, computer science, and finance (D)</p> Signup and view all the answers

Which areas of mathematics are often grouped under applied mathematics?

<p>Statistics and game theory (A)</p> Signup and view all the answers

Which of the following is a linear equation with one variable?

<p>5x + 7 = 0 (D)</p> Signup and view all the answers

What is the solution to the linear equation $4x - 12 = 0$?

<p>$x = 4$ (C)</p> Signup and view all the answers

If $a=2$, is it a solution to the equation $-10a + 5 = -25$?

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

Which of the following equations is equal to a constant?

<p>$5x + 2 = -3$ (D)</p> Signup and view all the answers

What type of algebraic expressions does a linear equation involve?

<p>Polynomial expressions (B)</p> Signup and view all the answers

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