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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. An important part of problem solving is identifying






2. All integers are thus divided into three classes:






3. 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






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






5. (a






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






7. 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






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






9. To describe and extend a numerical pattern






10. Positive integers are






11. 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.






12. At each level of the tree - break the current number into a product of two factors. The process is complete when all of the 'circled leaves' at the bottom of the tree are prime numbers. Arranging the factors in the 'circled leaves' in order. The fina






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






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






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






16. 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 -






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






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






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. If a = b then






21. Mathematical statement that equates two mathematical expressions.






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






23. Some numbers make geometric shapes when arranged as a collection of dots - for example - 16 makes a square - and 10 makes a triangle.






24. 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.






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






26. 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.






27. Solving Equations






28. In the expression 3






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






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






31. This method can create a flat map from a curved surface while preserving all angles in any features present.






32. 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).






33. If a is any whole number - then a






34. 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.






35. 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.






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






37. 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).






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






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

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40. × - ( )( ) - · - 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






41. 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.'






42. Negative






43. 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






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






45. Writing Mathematical equations - arrange your work one equation






46. An arrangement where order matters.






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






48. A






49. 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.






50. A + b = b + a







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