Test your basic knowledge |

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. 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.






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






3. 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.






4. 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.






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






6. The fundamental theorem of arithmetic says that






7. 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






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






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






10. 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






11. A · b = b · a






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

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


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






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






15. 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.






16. Requirements for Word Problem Solutions.






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






18. Are the fundamental building blocks of arithmetic.






19. An arrangement where order matters.






20. If grouping symbols are nested






21. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






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






23. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






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






25. (a · b) · c = a · (b · c)






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






27. Multiplication is equivalent to






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






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






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






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






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






33. 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.






34. Negative






35. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






36. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






37. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






38. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






39. ____________ 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






40. 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.






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






42. (a






43. 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.'






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






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






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






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






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






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






50. 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