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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. A way to measure how far away a given individual result is from the average result.






2. 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.






3. The fundamental theorem of arithmetic says that






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

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5. If a = b then






6. A topological invariant that relates a surface's vertices - edges - and faces.






7. A + b = b + a






8. 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.






9. × - ( )( ) - · - 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






10. 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 -






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






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






13. 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.






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






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






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






17. If we start with a number x and add a number a - then subtracting a from the result will return us to the original number x. x + a - a = x. so -






18. If a - b - and c are any whole numbers - then a






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. If a represents any whole number - then a






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






22. 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.






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






24. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






25. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






26. 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.'






27. 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






28. Add and subtract






29. If a is any whole number - then a






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






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






32. A flat map of hyperbolic space.






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






34. 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.






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






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






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






38. 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.'






39. The expression a/b means






40. Positive integers are






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






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






43. Writing Mathematical equations - arrange your work one equation






44. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






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






46. 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






47. A + 0 = 0 + a = a






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






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






50. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.