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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. A curve in the plane






2. If a factor of a number is prime - it is called a






3. The complex conjugate of the complex number z = x + yi is defined to be x - yi. It is denoted or . Geometrically - is the

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






5. A letter tat represents a number that is unknown (usually X or Y)






6. In the Rectangular Coordinate System - the direction to the left along the horizontal line is






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






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






9. 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






10. LAWS FOR COMBINING NUMBERS






11. A number is divisible by 3 if






12. 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






13. The number of digits in an integer indicates its rank; that is - whether it is 'in the hundreds -' 'in the thousands -' etc. The idea of ranking numbers in terms of tens - hundreds - thousands - etc. - is based on the






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






15. 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.






16. 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.






17. As shown earlier - c - di is the complex conjugate of the denominator c + di.






18. 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






19. Any number that is exactly divisible by a given number is a






20. Are used to indicate sets






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






22. 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






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






24. The square roots of a + bi (with b ? 0) are - where and where sgn is the signum function. This can be seen by squaring to obtain a + bi.






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






26. One term (5x or 4)






27. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a






28. Any number that is not a multiple of 2 is an






29. Implies a collection or grouping of similar - objects or symbols.






30. 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






31. Remainder






32. A number is divisible by 4 if






33. This law states that the sum of three or more addends is the same regardless of the manner in which they are grouped. suggests association or grouping.






34. A number is divisible by 5 if its






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. 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.






37. A number is divisible by 8 if






38. Plus






39. Increased by






40. The place value which corresponds to a given position in a number is determined by the






41. Number T increased by 9






42. In the Rectangular Coordinate System - On the vertical line - direction _______ is negative






43. First axiom of equality






44. Allow for solutions to certain equations that have no real solution: the equation has no real solution - since the square of a real number is 0 or positive.






45. Number X decreased by 12 divided by forty






46. The set of all complex numbers is denoted by






47. Has an equal sign (3x+5 = 14)






48. Integers greater than zero and less than 5 form a set - as follows:






49. If two equal quantities are multiplied by the same quantity - the resulting products are equal. If equals are multiplied by equals - the products are equal.






50. Quotient