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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. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






2. 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






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






4. 1. Parentheses (or any grouping symbol {braces} - [square brackets] - |absolute value|)

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5. Writing Mathematical equations - arrange your work one equation






6. Has no factors other than 1 and itself






7. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






8. 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.






9. In the expression 3






10. 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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11. The state of appearing unchanged.






12. Does not change the solution set. That is - if a = b - then multiplying both sides of the equation by c produces the equivalent equation a






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






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






15. 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






16. Uses second derivatives to relate acceleration in space to acceleration in time.






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






18. Are the fundamental building blocks of arithmetic.






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






20. Originally known as analysis situs






21. If a is any whole number - then a






22. 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.






23. 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






24. An important part of problem solving is identifying






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






26. If a represents any whole number - then a






27. An algebraic 'sentence' containing an unknown quantity.






28. A · 1 = 1 · a = a






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






30. 4 more than a certain number is 12






31. 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.






32. 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






33. 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.'






34. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






35. 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).






36. 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 -






37. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






38. 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






39. The solutions to this gambling dilemma is traditionally held to be the start of modern probability theory.






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






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






42. If its final digit is a 0.






43. 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.






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

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45. Arise from the attempt to measure all quantities with a common unit of measure.






46. Negative






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






48. 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






49. A · b = b · a






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







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