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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. The expression a/b means






2. 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.






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






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






5. The expression a^m means a multiplied by itself m times. The number a is called the base of the exponential expression and the number m is called the exponent. The exponent m tells us to repeat the base a as a factor m times.






6. Add and subtract






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






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






9. If a = b then






10. This method can create a flat map from a curved surface while preserving all angles in any features present.






11. 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.






12. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






14. × - ( )( ) - · - 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






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






16. 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






17. (a · b) · c = a · (b · c)






18. Means approximately equal.






19. Negative






20. A number is divisible by 2






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






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






23. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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24. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






25. If a = b then






26. The inverse of multiplication






27. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






28. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






29. If a represents any whole number - then a






30. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






31. 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






32. ____________ 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






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






34. 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






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






36. 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 -






37. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






38. 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.'






39. The process of taking a complicated signal and breaking it into sine and cosine components.






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






41. 4 more than a certain number is 12






42. 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






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






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. Perform all additions and subtractions in the order presented






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






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






48. 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.






49. 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.'






50. An arrangement where order matters.