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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 number is divisible by 6 if it is






2. If z is a real number (i.e. - y = 0) - then r = |x|. In general - by Pythagoras' theorem - r is the distance of the point P representing the complex number z to the origin.






3. 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.






4. LAWS FOR COMBINING NUMBERS






5. The greatest of 3 consecutive whole numbers - the smallest of which is F






6. This law combines the operations of addition and multiplication. The distribution of a common multiplier among the terms of an additive expression.






7. Increased by






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






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


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






11. A number is divisible by 8 if






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






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






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






15. 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






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






17. 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:






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






19. A number that has no factors except itself and 1 is a






20. 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.






21. Plus






22. Number T increased by 9






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






24. More than






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






26. A number is divisible by 9 if






27. A curve in the plane






28. 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






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






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






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






32. The central problem of Diophantine geometry is to determine when a Diophantine equation has






33. The relative greatness of positive and negative numbers






34. The Arabic numerals from 0 through 9 are called






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






36. 2 -3 -4 -5 -6






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






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






39. Remainder






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






41. 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.






42. A number is divisible by 3 if






43. First axiom of equality






44. Are often studied as extensions of smaller number fields: a field L is said to be an extension of a field K if L contains K. (For example - the complex numbers C are an extension of the reals R - and the reals R are an extension of the rationals Q.)






45. 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






46. Number X decreased by 12 divided by forty






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






48. 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.






49. Since the elements of the set {2 - 4 - e} are the same as the elements of{4 - 2 - e} - these two sets are said to be






50. A form of coding in which the value of each digit of a number depends upon its position in relation to the other digits of the number. The convention used in our number system is that each digit has a higher place value than those digits to the right