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

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2. If a = b then






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






4. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






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

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6. 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).






7. 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






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






9. The expression a/b means






10. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






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






12. ____________ 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






13. In the expression 3






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






15. 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






16. 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.






17. 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.






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






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






20. Mathematical statement that equates two mathematical expressions.






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






22. If a represents any whole number - then a






23. 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






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






26. If its final digit is a 0.






27. 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






28. 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






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






30. The inverse of multiplication






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






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






33. 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).






34. 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.






35. The state of appearing unchanged.






36. A · 1 = 1 · a = a






37. 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






38. Means approximately equal.






39. Perform all additions and subtractions in the order presented






40. Has no factors other than 1 and itself






41. Requirements for Word Problem Solutions.






42. A · b = b · a






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






44. 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 -






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






46. Index p radicand






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






48. 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.






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






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