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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 + 0 = 0 + a = a






2. 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






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

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4. 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.






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






6. Perform all additions and subtractions in the order presented






7. If a = b then






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






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






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






11. (a + b) + c = a + (b + c)






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






13. 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.'






14. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






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






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






17. A topological invariant that relates a surface's vertices - edges - and faces.






18. The study of shape from an external perspective.






19. Requirements for Word Problem Solutions.






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






21. 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.






22. A · 1 = 1 · a = a






23. 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






24. If a = b then






25. A topological object that can be used to study the allowable states of a given system.






26. Writing Mathematical equations - arrange your work one equation






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






28. 1. Any two points can be joined by a straight line. 2. Any straight line segment can be extended indefinitely in a straight line. 3. Given any straight line segment - a circle can be drawn having the segment as radius and one endpoint as center. 4. A

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29. 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






30. 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






31. Original Balance minus River Tam's Withdrawal is Current Balance






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






33. A · b = b · a






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

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






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






37. If a represents any whole number - then a






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






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






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






41. The expression a/b means






42. 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.






43. 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 -






44. When writing mathematical statements - follow the mantra:






45. 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 -






46. The cardinality of sets that cannot be put into one-to-one correspondence with the counting numbers - such as the set of real numbers - is referred to as c. The designations A_0 and c are known as 'transfinite' cardinalities.






47. 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






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






49. Multiplication is equivalent to






50. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.