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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. 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.






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






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






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






5. This area of mathematics relates symmetry to whether or not an equation has a 'simple' solution.






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






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






8. Originally known as analysis situs






9. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






10. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






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






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






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






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






15. A + 0 = 0 + a = a






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






17. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






18. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






19. Mathematical statement that equates two mathematical expressions.






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






21. 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






22. Perform all additions and subtractions in the order presented






23. 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.






24. The system that Euclid used in The Elements






25. 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 -






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






27. Means approximately equal.






28. 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






29. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






30. A · 1/a = 1/a · a = 1






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






32. An important part of problem solving is identifying






33. The inverse of multiplication






34. If a = b then






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






36. The study of shape from the perspective of being on the surface of the shape.






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






38. ____________ theory enables us to use mathematics to characterize and predict the behavior of random events. By 'random' we mean 'unpredictable' in the sense that in a given specific situation - our knowledge of current conditions gives us no way to






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






40. 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.






41. Writing Mathematical equations - arrange your work one equation






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






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






44. Two equations if they have the same solution set.






45. If a = b then






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






47. 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






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






49. (a · b) · c = a · (b · c)






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