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. A number is divisible by 2 if






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






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






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






5. This law states that the product of three or more factors is the same regardless of the manner in which they are grouped. Negative signs require no special treatment in the application of this law.






6. 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.






7. 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.






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






9. This law can be applied to subtraction by changing signs so that all negative signs become number signs and all signs of operation are positive.






10. A curve in the plane






11. A number is divisible by 8 if






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






13. Are used to indicate sets






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






15. Plus






16. 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






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






18. The base which is most commonly used is ten - and the system with ten as a base is called the decimal system (decem is the Latin word for ten). Any number is assumed - unless indicated - to be a






19. Remainder






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






21. A number is divisible by 6 if it is






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






23. Less than






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






25. A number is divisible by 5 if its






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






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






28. 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.






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






30. The relative greatness of positive and negative numbers






31. 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






32. Increased by






33. Number X decreased by 12 divided by forty






34. A number is divisible by 4 if






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






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






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






38. The objects in a set have at least






39. The set of all complex numbers is denoted by






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






41. 2 -3 -4 -5 -6






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






43. The Arabic numerals from 0 through 9 are called






44. 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.






45. 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






46. 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






47. Total






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






49. 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






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