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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. Any number that la a multiple of 2 is an






2. 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.






3. Studies algebraic properties and algebraic objects of interest in number theory. (Thus - analytic and algebraic number theory can and do overlap: the former is defined by its methods - the latter by its objects of study.) A key topic is that of the a






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






5. Increased by






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






7. A number is divisible by 6 if it is






8. Total






9. 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






10. 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.






11. 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.






12. A number is divisible by 3 if






13. First axiom of equality






14. Less than






15. 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.






16. Number T increased by 9






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






18. 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 -






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






20. Quotient






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






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






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






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






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






26. Sixteen less than number Q






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






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






29. 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.






30. Product






31. 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:






32. 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.






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






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






35. The set of all complex numbers is denoted by






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






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






38. 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






39. 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






40. 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






41. 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.






42. 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.






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






44. The objects in a set have at least






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






46. 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






47. In particular - the square of the imaginary unit is -1: The preceding definition of multiplication of general complex numbers follows naturally from this fundamental property of the imaginary unit. Indeed - if i is treated as a number so that di mean






48. 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






49. A number is divisible by 4 if






50. 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.