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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. 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.






3. 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.






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






5. 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.






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






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






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






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






10. 2 -3 -4 -5 -6






11. 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






12. Subtraction






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






14. Plus






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






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






17. If two equal quantities are divided by the same quantity - the resulting quotients are equal. If equals are divided by equals - the results are equal.






18. A curve in the plane






19. Increased by






20. Number X decreased by 12 divided by forty






21. A number is divisible by 6 if it is






22. First axiom of equality






23. Total






24. 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






25. 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






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






27. 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.






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






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






30. 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






31. 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.






32. LAWS FOR COMBINING NUMBERS






33. This law states that the sum of two or more addends is the same regardless of the order in which they are arranged. Means to change - substitute or move from place to place.






34. 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






35. Does not have an equal sign (3x+5) (2a+9b)






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






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






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






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






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






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






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






44. This law states that the product of two or more factors is the same regardless of the order in which the factors are arranged. Negative signs require no special treatment in the application of this law.






45. Allow the variables in f(x -y) = 0 to be complex numbers; then f(x -y) = 0 defines a 2-dimensional surface in (projective) 4-dimensional space (since two complex variables can be decomposed into four real variables - i.e. - four dimensions). Count th






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






47. The relative greatness of positive and negative numbers






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






49. 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






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