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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. Requirements for Word Problem Solutions.






2. Negative






3. If a = b then






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






5. The system that Euclid used in The Elements






6. 1. Find the prime factorizations of each number.






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






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






9. Does not change the solution set. That is - if a = b - then dividing both sides of the equation by c produces the equivalent equation a/c = b/c - provided c = 0.






10. 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).






11. 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.






12. 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






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






14. 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






15. A + b = b + a






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






17. A






18. 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 -






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






20. If a is any whole number - then a






21. Uses second derivatives to relate acceleration in space to acceleration in time.






22. If the sum of its digits is divisible by 9 (ex: 3591 is divisible by 9 since 3 + 5 + 9 + 1 = 18 is divisible by 9).






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. 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






25. Cantor called the cardinality of all the sets that can be put into one-to-one correspondence with the counting numbers - or 'Aleph Null.'






26. 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.






27. If a = b then






28. A point in four-space - also known as 4-D space - requires four numbers to fix its position. Four-space has a fourth independent direction - described by 'ana' and 'kata.'






29. 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.






30. In the expression 3






31. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






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






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






34. Dimension is how mathematicians express the idea of degrees of freedom






35. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






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






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






38. 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.






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






40. You must always solve the equation set up in the previous step.






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






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






43. 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 -






44. A '___________' infinite set is one that can be put into one-to-one correspondence with the set of natural numbers.






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






46. Arise from the attempt to measure all quantities with a common unit of measure.






47. 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.






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






49. 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).






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

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