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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 · 1/a = 1/a · a = 1






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






3. If grouping symbols are nested






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






5. If a = b then






6. 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.






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






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






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






10. An important part of problem solving is identifying






11. Positive integers are






12. 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.'






13. The surface of a standard 'donut shape'.






14. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






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. 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.






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






18. If a is any whole number - then a






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






20. When writing mathematical statements - follow the mantra:






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






22. Are the fundamental building blocks of arithmetic.






23. The study of shape from an external perspective.






24. The expression a/b means






25. 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.






26. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






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






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






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






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






31. To describe and extend a numerical pattern






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






33. 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).






34. 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).






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






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






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






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






39. Add and subtract






40. 4 more than a certain number is 12






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






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






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






44. All integers are thus divided into three classes:






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






46. 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






47. The state of appearing unchanged.






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






49. 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.






50. 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.







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