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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. An algebraic 'sentence' containing an unknown quantity.






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






3. The study of shape from an external perspective.






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






5. A point in three-dimensional space requires three numbers to fix its location.






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

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8. 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






9. The surface of a standard 'donut shape'.






10. 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.






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






12. 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






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






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






15. A · 1 = 1 · a = a






16. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






17. ____________ 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






18. Determines the likelihood of events that are not independent of one another.






19. Mathematical statement that equates two mathematical expressions.






20. If a = b then






21. 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.






22. The inverse of multiplication






23. 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






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






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






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






27. 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






28. Multiplication is equivalent to






29. (a






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






31. 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.'






32. 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






33. 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.






34. 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.






35. To describe and extend a numerical pattern






36. 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.






37. Means approximately equal.






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






39. Aka The Osculating Circle - a way to measure the curvature of a line.






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






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






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






43. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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. Has no factors other than 1 and itself






46. Perform all additions and subtractions in the order presented






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






48. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






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






50. 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.







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