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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. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






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






4. A · 1 = 1 · a = a






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






6. 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






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






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

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






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






11. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






12. The expression a/b means






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






14. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






15. Requirements for Word Problem Solutions.






16. 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






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






18. 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.






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






20. ____________ 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






21. 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.






22. 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.






23. If a = b then






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






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






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






27. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






28. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






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






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. Are the fundamental building blocks of arithmetic.






32. The fundamental theorem of arithmetic says that






33. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






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






35. To describe and extend a numerical pattern






36. The state of appearing unchanged.






37. (a






38. 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.'






39. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






40. 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.






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






42. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






43. Perform all additions and subtractions in the order presented






44. 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.






45. If a = b then






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






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






48. 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.






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






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