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






2. First axiom of equality






3. 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






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






5. A number is divisible by 5 if its






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






7. Are used to indicate sets






8. LAWS FOR COMBINING NUMBERS






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






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






11. Total






12. Number symbols






13. The relative greatness of positive and negative numbers






14. The set of all complex numbers is denoted by






15. The objects in a set have at least






16. More than






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






18. 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.






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






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






21. 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.






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






23. 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






24. Remainder






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






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






27. 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






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






29. A number is divisible by 3 if






30. 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:






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






32. Decreased by






33. Number T increased by 9






34. A number is divisible by 8 if






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






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






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






38. 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.






39. 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






40. 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






41. Number X decreased by 12 divided by forty






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






43. 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






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






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






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






47. 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.)






48. Subtraction






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






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