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






2. Addition of two complex numbers can be done geometrically by






3. 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






4. A number is divisible by 3 if






5. 2 -3 -4 -5 -6






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






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






8. Less than






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






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






11. Number T increased by 9






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






13. 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.






14. 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.






15. Total






16. A number is divisible by 4 if






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






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






19. Plus






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. Sixteen less than number Q






22. More than






23. The Arabic numerals from 0 through 9 are called






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






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






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






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






28. A number is divisible by 6 if it is






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






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






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






32. One term (5x or 4)






33. The set of all complex numbers is denoted by






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






35. A number is divisible by 9 if






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






37. A number is divisible by 2 if






38. LAWS FOR COMBINING NUMBERS






39. 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.






40. 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.)






41. 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






42. 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.






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






44. The objects in a set have at least






45. 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






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






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






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






49. 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






50. The relative greatness of positive and negative numbers