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






2. Are the fundamental building blocks of arithmetic.






3. N = {1 - 2 - 3 - 4 - 5 - . . .}.






4. (a · b) · c = a · (b · c)






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






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






7. 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






8. A · 1/a = 1/a · a = 1






9. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






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






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






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






13. 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






14. You must always solve the equation set up in the previous step.






15. Mathematical statement that equates two mathematical expressions.






16. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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






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

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19. Means approximately equal.






20. An arrangement where order matters.






21. If a = b then






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






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






24. Negative






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






26. 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.






27. 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).






28. 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






29. The state of appearing unchanged.






30. A number is divisible by 2






31. In the expression 3






32. Index p radicand






33. To describe and extend a numerical pattern






34. A · b = b · a






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






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






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






38. The surface of a standard 'donut shape'.






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






40. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






41. 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.






42. All integers are thus divided into three classes:






43. 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.






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






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






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






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






48. 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.






49. 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.






50. (a