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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. 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






2. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






3. This step is easily overlooked. For example - the problem might ask for Jane's age - but your equation's solution gives the age of Jane's sister Liz. Make sure you answer the original question asked in the problem. Your solution should be written in






4. Requirements for Word Problem Solutions.






5. The four-dimensional analog of the cube - square - and line segment. A hypercube is formed by taking a 3-D cube - pushing a copy of it into the fourth dimension - and connecting it with cubes. Envisioning this object in lower dimensions requires that






6. 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






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






8. A






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






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






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






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

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13. 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.






14. 4 more than a certain number is 12






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






16. This famous - as yet unproven - result relates to the distribution of prime numbers on the number line.






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






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






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






20. Positive integers are






21. If its final digit is a 0.






22. If a = b then






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






24. 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.






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






26. Solving Equations






27. 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






28. A · b = b · a






29. 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.'






30. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






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






32. 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 -






33. When writing mathematical statements - follow the mantra:






34. To describe and extend a numerical pattern






35. In the expression 3






36. The state of appearing unchanged.






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






38. If a is any whole number - then a






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






40. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






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






42. 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.






43. 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.






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






45. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






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






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






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






50. 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.