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






2. If its final digit is a 0.






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






4. If a = b then






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






6. A · 1/a = 1/a · a = 1






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






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






9. 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.






10. 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.






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






12. A + 0 = 0 + a = a






13. If we start with a number x and multiply by a number a - then dividing the result by the number a returns us to the original number x. In symbols - a






14. A






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






16. If its final digit is a 0 or 5.






17. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






18. 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






19. The expression a/b means






20. (a






21. Negative






22. 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






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






24. 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.






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






26. Cannot be written as a ratio of natural numbers.






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

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






29. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






30. 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.






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






32. Solving Equations






33. Is a symbol (usually a letter) that stands for a value that may vary.






34. A flat map of hyperbolic space.






35. 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






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






37. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






38. (a · b) · c = a · (b · c)






39. Add and subtract






40. In the expression 3






41. When writing mathematical statements - follow the mantra:






42. 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).






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






44. 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






45. Multiplication is equivalent to






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






47. Index p radicand






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






49. Means approximately equal.






50. 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.'