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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. The inverse of multiplication






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






3. 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






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






5. 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






6. If a = b then






7. Mathematical statement that equates two mathematical expressions.






8. All integers are thus divided into three classes:






9. Add and subtract






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






11. 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






12. This result relates conserved physical quantities - like conservation of energy - to continuous symmetries of spacetime.

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13. 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.






14. A · 1/a = 1/a · a = 1






15. 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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16. 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 -






17. ____________ 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






18. (a · b) · c = a · (b · c)






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






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






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






22. × - ( )( ) - · - 1. Multiply the numbers (ignoring the signs)2. The answer is positive if they have the same signs. 3. The answer is negative if they have different signs. 4. Alternatively - count the amount of negative numbers. If there are an even






23. Also known as gluing diagrams - are a convenient way to examine intrinsic topology.






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






25. Writing Mathematical equations - arrange your work one equation






26. 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






27. Are the fundamental building blocks of arithmetic.






28. 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).






29. Positive integers are






30. A






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






32. 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






33. 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






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






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






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






37. Multiplication is equivalent to






38. 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






39. Originally known as analysis situs






40. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






41. An object possessing continuous symmetries can remain invariant while one symmetry is turned into another. A circle is an example of an object with continuous symmetries.






42. 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.






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






44. The system that Euclid used in The Elements






45. 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.






46. In some ways - the opposite of a multitude is a magnitude - which is ___________. In other words - there are no well defined partitions.






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






48. 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.






49. N = {1 - 2 - 3 - 4 - 5 - . . .}.






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