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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 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.'






2. Perform all additions and subtractions in the order presented






3. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






4. 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).






5. An important part of problem solving is identifying






6. (a






7. Writing Mathematical equations - arrange your work one equation






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






9. 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.






10. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






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






12. 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






13. Index p radicand






14. Originally known as analysis situs






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






16. A flat map of hyperbolic space.






17. Determines the likelihood of events that are not independent of one another.






18. Requirements for Word Problem Solutions.






19. A number is divisible by 2






20. 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






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






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

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






24. When writing mathematical statements - follow the mantra:






25. 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






26. 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.






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






28. 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.






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

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






31. If grouping symbols are nested






32. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






33. 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.






34. 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






35. 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.






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






37. If a represents any whole number - then a






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






39. 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






40. 4 more than a certain number is 12






41. 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






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






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






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. A + 0 = 0 + a = a






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






47. 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.






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






49. 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






50. All integers are thus divided into three classes: