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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. 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






2. Has no factors other than 1 and itself






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






4. If a = b then






5. 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






6. If a represents any whole number - then a






7. 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.






8. 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 -






9. The state of appearing unchanged.






10. Aka The Osculating Circle - a way to measure the curvature of a line.






11. 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.






12. An arrangement where order matters.






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






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






15. Solving Equations






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 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.'






18. All integers are thus divided into three classes:






19. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






20. Requirements for Word Problem Solutions.






21. Negative






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






23. 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.






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






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






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






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






28. 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.






29. An instrument's _____ - the sound it produces - is a complex mixture of waves of different frequencies.






30. A factor tree is a way to visualize a number's






31. 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.






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






33. 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.






34. A · 1/a = 1/a · a = 1






35. The inverse of multiplication






36. 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.






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






38. Originally known as analysis situs






39. 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






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






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






42. 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).






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






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






46. ____________ 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






47. This model is at the forefront of probability research. Mathematicians use it to model traffic patterns in an attempt to understand flow rates and gridlock - among other things.






48. To describe and extend a numerical pattern






49. If a = b then






50. 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.







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