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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. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






2. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






3. 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.






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






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






6. The fundamental theorem of arithmetic says that






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






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






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






10. Positive integers are






11. If a = b then






12. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






13. If a represents any whole number - then a






14. Negative






15. Perform all additions and subtractions in the order presented






16. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






17. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






18. 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






19. 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






20. 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.






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






22. All integers are thus divided into three classes:






23. If a = b then






24. Has no factors other than 1 and itself






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






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






27. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






28. An important part of problem solving is identifying






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






30. Dimension is how mathematicians express the idea of degrees of freedom






31. A · 1/a = 1/a · a = 1






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






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






34. A flat map of hyperbolic space.






35. Mathematical statement that equates two mathematical expressions.






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






37. Multiplication is equivalent to






38. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






40. Add and subtract






41. Means approximately equal.






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






43. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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






45. ____________ 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






46. A number is divisible by 2






47. In the expression 3






48. 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 -






49. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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