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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 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).






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






3. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






4. 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.






5. 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.'






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






7. Originally known as analysis situs






8. 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






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






10. The inverse of multiplication






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






12. 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.






13. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






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






15. 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






16. A






17. Are the fundamental building blocks of arithmetic.






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






19. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






20. This ubiquitous result describes the outcomes of many trials of events from a wide array of contexts. It says that most results cluster around the average with few results far above or far below average.






21. The study of shape from an external perspective.






22. Negative






23. Perform all additions and subtractions in the order presented






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






25. The system that Euclid used in The Elements






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

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






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






29. In this type of geometry the angles of a triangle add up to more than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits no parallel lines as well as modify Euclid's first two postulates.






30. If grouping symbols are nested






31. All integers are thus divided into three classes:






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






33. 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






34. A number is divisible by 2






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






36. 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.






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






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






39. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






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






42. The study of shape from the perspective of being on the surface of the shape.






43. 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.






44. 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






45. A topological invariant that relates a surface's vertices - edges - and faces.






46. 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






47. 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 -






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






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






50. × - ( )( ) - · - 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