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






2. 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.






3. A number is divisible by 4 if






4. 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.






5. 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






6. Sixteen less than number Q






7. 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.






8. 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.






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






10. A number is divisible by 3 if






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






12. Decreased by






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






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






15. More than






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






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






18. Total






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






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






21. First axiom of equality






22. Any number that la a multiple of 2 is an






23. 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.






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






25. 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






26. The objects in a set have at least






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






28. Plus






29. Subtraction






30. 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 -






31. 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.






32. Increased by






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






34. 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.






35. 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.






36. 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






37. Number T increased by 9






38. 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






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






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






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






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






43. Number X decreased by 12 divided by forty






44. Product






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






46. 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






47. A number is divisible by 9 if






48. 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






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