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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 flat map of hyperbolic space.






2. Collection of objects. list all the objects in the set and enclosing the list in curly braces.






3. 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.'






4. 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).






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

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6. × - ( )( ) - · - 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






7. An important part of problem solving is identifying






8. Objects are topologically equivalent if they can be continuously deformed into one another. Properties that are preserved during this process are called topological invariants.






9. The study of shape from the perspective of being on the surface of the shape.






10. Requirements for Word Problem Solutions.






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






12. ____________ 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






13. 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.






14. Positive integers are






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






16. 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






17. 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.






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






19. Adding the same quantity to both sides of an equation - if a = b - then adding c to both sides of the equation produces the equivalent equation a + c = b + c.






20. Are the fundamental building blocks of arithmetic.






21. If a represents any whole number - then a






22. An arrangement where order matters.






23. 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






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






25. Index p radicand






26. 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






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






28. A






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






30. Multiplication is equivalent to






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






32. The state of appearing unchanged.






33. 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 -






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






35. 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.






36. A · 1/a = 1/a · a = 1






37. 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.






38. 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.






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






40. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






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






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






43. A + 0 = 0 + a = a






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






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






46. If its final digit is a 0.






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






48. 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.






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






50. A number is divisible by 2