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






3. When writing mathematical statements - follow the mantra:






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






5. A · 1/a = 1/a · a = 1






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






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






8. 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






9. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






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






11. 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






12. If a represents any whole number - then a






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






14. The fundamental theorem of arithmetic says that






15. 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.






16. 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.






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






18. 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.






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






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






21. 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.






22. Because of the associate property of addition - when presented with a sum of three numbers - whether you start by adding the first two numbers or the last two numbers - the resulting sum is






23. To describe and extend a numerical pattern






24. All integers are thus divided into three classes:






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






26. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






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






28. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






29. 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






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






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






32. Multiplication is equivalent to






33. The system that Euclid used in The Elements






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






35. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






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






37. A · 1 = 1 · a = a






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






39. If a = b then






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






41. 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.






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






43. 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






44. The expression a/b means






45. Perform all additions and subtractions in the order presented






46. 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.






47. A + 0 = 0 + a = a






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






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






50. 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