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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. Perform all additions and subtractions in the order presented






2. A + (-a) = (-a) + a = 0






3. Original Balance minus River Tam's Withdrawal is Current Balance






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






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






6. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






7. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






8. 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.






9. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






10. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






11. The expression a/b means






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






13. Two equations if they have the same solution set.






14. Aka The Osculating Circle - a way to measure the curvature of a line.






15. Originally known as analysis situs






16. All integers are thus divided into three classes:






17. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






18. (a + b) + c = a + (b + c)






19. Requirements for Word Problem Solutions.






20. Division by zero is undefined. Each of the expressions 6






21. 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






22. A flat map of hyperbolic space.






23. 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.'






24. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






25. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






26. Negative






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






28. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






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






30. If a is any whole number - then a






31. If a and b are any whole numbers - then a






32. Index p radicand






33. When writing mathematical statements - follow the mantra:






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






35. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






36. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






37. If a = b then






38. You must always solve the equation set up in the previous step.






39. Add and subtract






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






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






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






43. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






44. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






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






46. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






47. If a = b then






48. A graph in which every node is connected to every other node is called a complete graph.






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






50. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.