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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 - the direction to the left along the horizontal line is






2. The set of all complex numbers is denoted by






3. First axiom of equality






4. Are used to indicate sets






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






6. 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






7. Addition of two complex numbers can be done geometrically by






8. A number is divisible by 6 if it is






9. 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






10. 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






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






12. The Arabic numerals from 0 through 9 are called






13. Remainder






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






15. Increased by






16. A curve in the plane






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






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






19. More than






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






21. 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






22. 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.






23. Less than






24. 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.






25. 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.






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






27. 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






28. 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.






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






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






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. Sixteen less than number Q






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






34. A number is divisible by 8 if






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






36. Sum






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






38. A number is divisible by 4 if






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






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






41. 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.)






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






43. 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 -






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






45. 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






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






47. 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.






48. Quotient






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






50. 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.