Test your basic knowledge |

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


2. One term (5x or 4)






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






4. A number is divisible by 5 if its






5. Decreased by






6. A number that has no factors except itself and 1 is a






7. A number is divisible by 3 if






8. The set of all complex numbers is denoted by






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






10. The relative greatness of positive and negative numbers






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






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






13. 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.






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






15. A number is divisible by 6 if it is






16. 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.






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






18. Less than






19. 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.






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






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






22. 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.






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






24. LAWS FOR COMBINING NUMBERS






25. 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






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






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. A number is divisible by 9 if






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






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






31. The objects in a set have at least






32. First axiom of equality






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






34. Remainder






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






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






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






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






39. 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






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






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 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






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






45. 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






46. A curve in the plane






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. 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.






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






50. 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.