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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 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.






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






3. 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.






4. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






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






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






8. If a = b then






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






10. Index p radicand






11. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






12. Division by zero is undefined. Each of the expressions 6






13. Is the shortest string that contains all possible permutations of a particular length from a given set.






14. A






15. 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.






16. If its final digit is a 0.






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






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






19. 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 -






20. 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.






21. Originally known as analysis situs






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






23. 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)






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






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






26. ____________ 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






27. 4 more than a certain number is 12






28. 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






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






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






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






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






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






34. An important part of problem solving is identifying






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






36. If a = b then






37. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






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






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






40. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






41. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






42. 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.






43. × - ( )( ) - · - 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






44. Breaks a complicated signal into a combination of simple sine waves. Fourier synthesis does the opposite - constructing a complicated signal from simple sine waves.






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






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






47. The expression a/b means






48. 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






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






50. 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.