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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. 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)






2. The amount of displacement - as measured from the still surface line.






3. 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.






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






5. 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.






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






7. 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.






8. A + 0 = 0 + a = a






9. 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.






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

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






12. 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.'






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






14. All integers are thus divided into three classes:






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






16. If a = b then






17. 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.






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






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






20. 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.






21. Writing Mathematical equations - arrange your work one equation






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

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23. Is a path that visits every node in a graph and ends where it began.






24. 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






25. 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






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






27. A flat map of hyperbolic space.






28. 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






29. Perform all additions and subtractions in the order presented






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






31. 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.






32. (a






33. × - ( )( ) - · - 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






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






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






36. Rules for Rounding - To round a number to a particular place - follow these steps:






37. An arrangement where order matters.






38. 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.






39. When writing mathematical statements - follow the mantra:






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






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






42. 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






43. An algebraic 'sentence' containing an unknown quantity.






44. Has no factors other than 1 and itself






45. 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.






46. 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






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






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. 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.'






50. 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.'