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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
  • If you are not ready to take this test, you can study here.
  • Match each statement with the correct term.
  • Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






2. Sixteen less than number Q






3. This law can be applied to subtraction by changing signs in such a way that all negative signs are treated as number signs rather than operational signs.That is - some of the addends can be negative numbers.






4. Increased by






5. Is called the real part of z - and the real number b is often called the imaginary part. By this convention the imaginary part is a real number - not including the imaginary unit: hence b - not bi - is the imaginary part. (Others - however call bi th






6. The relative greatness of positive and negative numbers






7. Product of 16 and the sum of 5 and number R






8. The numbers which are used for counting in our number system are sometimes called






9. In the Rectangular Coordinate System - the direction to the right along the horizontal line is






10. The set of all complex numbers is denoted by






11. Work on the problem of general polynomials ultimately led to the fundamental theorem of algebra -






12. Number T increased by 9






13. Quotient






14. No short method has been found for determining whether a number is divisible by






15. Viewed in this way the multiplication of a complex number by i corresponds to rotating a complex number






16. G - E - M - A Grouping - Exponents - Multiply/Divide - Add/Subtract






17. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean






18. A number is divisible by 6 if it is






19. One term (5x or 4)






20. A number that has factors other than itself and 1 is a






21. The number without a variable (5m+2). In this case - 2






22. Decreased by






23. A number is divisible by 8 if






24. These are emphasised in a complex number's polar form and it turns out notably that the operations of addition and multiplication take on a very natural geometric character when complex numbers are viewed as position vectors:






25. A number is divisible by 5 if its






26. Does not have an equal sign (3x+5) (2a+9b)






27. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






28. This formula can be used to compute the multiplicative inverse of a complex number if it is given in






29. The smallest of four sonsecutive whole numbers - the biggest of which is K+6






30. Consists of all numbers of the form - where a and b are rational numbers and d is a fixed rational number whose square root is not rational.






31. Is any complex number that is a solution to some polynomial equation with rational coefficients; for example - every solution x of (say) is an algebraic number. Fields of algebraic numbers are also called algebraic number fields - or shortly number f






32. Plus






33. An equation - or system of equations - in two or more variables defines






34. A branch of geometry studying more general reflections than ones about a line - can also be expressed in terms of complex numbers.






35. The sum of two complex numbers A and B - interpreted as points of the complex plane - is the point X obtained by building a parallelogram three of whose vertices are O - A and B. Equivalently - X is the point such that the triangles with vertices O -






36. The Arabic numerals from 0 through 9 are called






37. The defining characteristic of a position vector is that it has






38. Are used to indicate sets






39. One asks whether there are any rational points (points all of whose coordinates are rationals) or integral points (points all of whose coordinates are integers) on the curve or surface. If there are any such points - the next step is to ask how many






40. More than one term (5x+4 contains two)






41. A curve in the plane






42. The objects or symbols in a set are called Numerals - Lines - or Points






43. The real and imaginary parts of a complex number can be extracted using the conjugate:






44. If the same quantity is subtracted from each of two equal quantities - the resulting quantities are equal. If equals are subtracted from equals - the results are equal.






45. Another way of encoding points in the complex plane other than using the x- and y-coordinates is to use the distance of a point P to O - the point whose coordinates are (0 - 0) (the origin) - and the angle of the line through P and O. This idea leads






46. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






47. In terms of its tools - as the study of the integers by means of tools from real and complex analysis - in terms of its concerns - as the study within number theory of estimates on size and density - as opposed to identities.






48. Begin by taking out the smallest factor If the number is even - take out all the 2's first - then try 3 as a factor






49. Any number that can be divided lnto a given number without a remainder is a






50. Is a number that can be expressed in the form where a and b are real numbers and i is the imaginary unit - satisfying i2 = -1. For example - -3.5 + 2i is a complex number. It is common to write a for a + 0i and bi for 0 + bi. Moreover - when the imag