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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 3 if






2. 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






3. 2 -3 -4 -5 -6






4. A number is divisible by 5 if its






5. Number symbols






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






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






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






9. The finiteness or not of the number of rational or integer points on an algebraic curve






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






11. As the horizontal component - and imaginary part as vertical These two values used to identify a given complex number are therefore called its Cartesian - rectangular - or algebraic form.






12. Plus






13. Sum






14. 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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15. LAWS FOR COMBINING NUMBERS






16. 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.)






17. Total






18. 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.






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






20. Increased by






21. The Arabic numerals from 0 through 9 are called






22. 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






23. Sixteen less than number Q






24. 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.






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






26. The relative greatness of positive and negative numbers






27. 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






28. 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






29. 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.






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






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






32. A number is divisible by 6 if it is






33. 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 -






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






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






36. 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.






37. Remainder






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






39. The set of all complex numbers is denoted by






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






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






42. 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.






43. Number X decreased by 12 divided by forty






44. 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.






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






46. First axiom of equality






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






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






49. The number touching the variable (in the case of 5x - would be 5)






50. In the Rectangular Coordinate System - On the vertical line - direction ________ is positive