Test your basic knowledge |

CLEP General Math: Number Sense - Patterns - Algebraic Thinking

Subjects : clep, math, algebra
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. Negative






2. Is the shortest string that contains all possible permutations of a particular length from a given set.






3. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






4. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






5. A factor tree is a way to visualize a number's






6. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






7. The amount of displacement - as measured from the still surface line.






8. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






9. 4 more than a certain number is 12






10. Rules for Rounding - To round a number to a particular place - follow these steps:






11. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






12. 1. Find the prime factorizations of each number.






13. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






14. Is a path that visits every node in a graph and ends where it began.






15. Are the fundamental building blocks of arithmetic.






16. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






17. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






18. When writing mathematical statements - follow the mantra:






19. Index p radicand






20. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






21. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






22. Positive integers are






23. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






24. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


25. Originally known as analysis situs






26. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






27. This result says that the symmetries of geometric objects can be expressed as groups of permutations.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


28. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






29. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






30. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






31. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






32. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






33. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






34. A · 1 = 1 · a = a






35. An algebraic 'sentence' containing an unknown quantity.






36. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






37. If a = b then






38. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






39. Arise from the attempt to measure all quantities with a common unit of measure.






40. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






41. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






42. A topological invariant that relates a surface's vertices - edges - and faces.






43. If a is any whole number - then a






44. If a represents any whole number - then a






45. If a whole number is not a prime number - then it is called a...






46. A topological object that can be used to study the allowable states of a given system.






47. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






48. A flat map of hyperbolic space.






49. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






50. Solving Equations