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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 analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






2. An important part of problem solving is identifying






3. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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4. If a is any whole number - then a






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






6. 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.






7. × - ( )( ) - · - 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






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






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






10. In the expression 3






11. Solving Equations






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






13. The system that Euclid used in The Elements






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






15. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






16. A flat map of hyperbolic space.






17. 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.






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






19. Mathematical statement that equates two mathematical expressions.






20. The multitude concept presented numbers as collections of discrete units - rather like indivisible atoms.






21. 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 -






22. 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






23. 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 -






24. Index p radicand






25. All integers are thus divided into three classes:






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






27. 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.






28. This method can create a flat map from a curved surface while preserving all angles in any features present.






29. The study of shape from an external perspective.






30. The state of appearing unchanged.






31. 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






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






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






34. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






35. 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






36. 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






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






38. The expression a/b means






39. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






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






41. 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.






42. If grouping symbols are nested






43. If a = b then






44. 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.






45. 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






46. Requirements for Word Problem Solutions.






47. If its final digit is a 0.






48. 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.






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






50. A · b = b · a







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