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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. 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).






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






3. If a is any whole number - then a






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






5. 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






6. 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






7. 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.'






8. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






9. Writing Mathematical equations - arrange your work one equation






10. A flat map of hyperbolic space.






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






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






14. 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






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






16. Perform all additions and subtractions in the order presented






17. The fundamental theorem of arithmetic says that






18. Are the fundamental building blocks of arithmetic.






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






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






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






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






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






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






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






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






28. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






29. Uses second derivatives to relate acceleration in space to acceleration in time.






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






31. 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






32. 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






33. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






34. Index p radicand






35. 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.






36. If a = b then






37. If a = b then






38. 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






39. If its final digit is a 0.






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






41. Means approximately equal.






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






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






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






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






47. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






48. 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






49. (a






50. If a = b then