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CLEP General Mathematics: Number Systems And Sets

Subjects : clep, math
Instructions:
  • Answer 50 questions in 15 minutes.
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  • 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. Product of 16 and the sum of 5 and number R






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






4. 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






5. A number is divisible by 6 if it is






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






7. 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






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






9. A number is divisible by 5 if its






10. 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






11. One term (5x or 4)






12. Product






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






14. 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.






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. A number is divisible by 4 if






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






18. 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.)






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






20. 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






21. A number is divisible by 9 if






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






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






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






25. 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.






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






27. 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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28. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.






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






30. More than






31. 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 -






32. 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






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






34. 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.






35. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}






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






37. Less than






38. Plus






39. Sixteen less than number Q






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






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






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






43. 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.






44. Remainder






45. Number symbols






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






47. Number X decreased by 12 divided by forty






48. The Arabic numerals from 0 through 9 are called






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






50. Decreased by