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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(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






3. Add and subtract






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






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






6. An arrangement where order matters.






7. Negative






8. 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.






9. The expression a/b means






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






11. Originally known as analysis situs






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






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






14. A · 1 = 1 · a = a






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






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






17. Multiplication is equivalent to






18. 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






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






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






21. If a is any whole number - then a






22. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






23. A + 0 = 0 + a = a






24. 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






25. 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.






26. In the expression 3






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






28. 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.






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






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






31. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






32. Mathematical statement that equates two mathematical expressions.






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






34. An important part of problem solving is identifying






35. A graph in which every node is connected to every other node is called a complete graph.






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






37. 4 more than a certain number is 12






38. 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.






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






40. Has no factors other than 1 and itself






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






42. If grouping symbols are nested






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






44. Are the fundamental building blocks of arithmetic.






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






46. A · 1/a = 1/a · a = 1






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






48. × - ( )( ) - · - 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






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






50. 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