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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. 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 -






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






3. If a is any whole number - then a






4. 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






5. A + b = b + a






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






7. 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.






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






9. The system that Euclid used in The Elements






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






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






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






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






14. An important part of problem solving is identifying






15. 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.






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






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






18. If a = b then






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

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20. In the expression 3






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






22. 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 -






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






24. If a whole number is not a prime number - then it is called a...






25. A number is divisible by 2






26. The expression a/b means






27. The process of taking a complicated signal and breaking it into sine and cosine components.






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






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. 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.






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






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






33. 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).






34. 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.






35. Positive integers are






36. If grouping symbols are nested






37. The fundamental theorem of arithmetic says that






38. 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






39. 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.






40. 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.






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






42. If a = b then






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






44. 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






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






46. Instruments produce notes that have a fundamental frequency in combination with multiples of that frequency known as partials or overtones






47. 1. Find the prime factorizations of each number.






48. If its final digit is a 0.






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






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