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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. 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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2. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






3. Let a - b - and c be any whole numbers. Then - a






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






5. 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






6. 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






7. If a is any whole number - then a






8. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






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






11. When writing mathematical statements - follow the mantra:






12. 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






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






14. 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.






15. Writing Mathematical equations - arrange your work one equation






16. 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.






17. The fundamental theorem of arithmetic says that






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






19. Requirements for Word Problem Solutions.






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






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






22. 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.






23. A + b = b + a






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






25. 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






26. 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






27. Positive integers are






28. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






30. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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






32. 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.






33. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






34. 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.






35. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






36. In the expression 3






37. Einstein's famous theory - relates gravity to the curvature of spacetime.






38. 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






39. 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.






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






41. We can think of the space between primes as 'prime deserts -' strings of consecutive numbers - none of which are prime.






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






43. If a = b then






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






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






46. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






47. 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






48. An important part of problem solving is identifying






49. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






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







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