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






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






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






4. 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:






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






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






7. Increased by






8. Number X decreased by 12 divided by forty






9. Are not necessary. That is - the elements of {2 - 2 - 3 - 4} are simply {2 - 3 - and 4}






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






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






12. 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.






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






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






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






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. Are used to indicate sets






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






19. The relative greatness of positive and negative numbers






20. 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






21. 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






22. One term (5x or 4)






23. 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






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






25. 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.






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






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






28. 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






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






30. 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






31. Product






32. 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






33. 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






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






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






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






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






38. 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






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






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






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


42. The set of all complex numbers is denoted by






43. Remainder






44. 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.






45. Number T increased by 9






46. 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






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






48. A number is divisible by 9 if






49. A number is divisible by 8 if






50. 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.