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






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






4. 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






5. 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 -






6. Are the fundamental building blocks of arithmetic.






7. The fundamental theorem of arithmetic says that






8. 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






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






10. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






11. Has no factors other than 1 and itself






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






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






14. If a represents any whole number - then a






15. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






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






17. 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.






18. Add and subtract






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






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






21. In the expression 3






22. A · 1/a = 1/a · a = 1






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






24. Negative






25. 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.






26. If a = b then






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






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






29. 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






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






31. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






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






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






34. 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






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






36. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






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






38. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






39. If grouping symbols are nested






40. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






41. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






42. 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.'






43. Solving Equations






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

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46. N = {1 - 2 - 3 - 4 - 5 - . . .}.






47. Index p radicand






48. Cannot be written as a ratio of natural numbers.






49. If a = b then






50. A + b = b + a