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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. (a






2. 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






3. A way to measure how far away a given individual result is from the average result.






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






5. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






6. Means approximately equal.






7. Positive integers are






8. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






9. Originally known as analysis situs






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






11. If grouping symbols are nested






12. 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






13. If a = b then






14. The study of shape from an external perspective.






15. 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.






16. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






17. Let a - b - and c be any whole numbers. Then - a






18. In the expression 3






19. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






20. An arrangement where order matters.






21. Let a and b represent two whole numbers. Then - a + b = b + a.






22. 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.'






23. 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






24. A + 0 = 0 + a = a






25. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






26. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






27. 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






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






29. If a = b then






30. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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31. An important part of problem solving is identifying






32. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






33. Einstein's famous theory - relates gravity to the curvature of spacetime.






34. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






35. Is a symbol (usually a letter) that stands for a value that may vary.






36. The fundamental theorem of arithmetic says that






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






38. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






39. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






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






41. 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

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42. If its final digit is a 0 or 5.






43. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.






44. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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






46. To describe and extend a numerical pattern






47. 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.






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






49. Index p radicand






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