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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. The whole number zero is called the additive identity. If a is any whole number - then a + 0 = a.






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






4. 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






5. A + (-a) = (-a) + a = 0






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






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






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






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






10. 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






11. This important result says that every natural number greater than one can be expressed as a product of primes in exactly one way.






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






13. 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.






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






15. × - ( )( ) - · - 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






16. Writing Mathematical equations - arrange your work one equation






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






18. An important part of problem solving is identifying






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






20. To describe and extend a numerical pattern






21. 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






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






23. 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).






24. 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 -






25. In the expression 3






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. Let a - b - and c represent whole numbers. Then - (a + b) + c = a + (b + c).






28. 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.






29. Means approximately equal.






30. The expression a/b means






31. 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






32. Solving Equations






33. A






34. Determines the likelihood of events that are not independent of one another.






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






36. All integers are thus divided into three classes:






37. Three is the common property of the group of sets containing three members. This idea is called '__________ -' which is a synonym for 'size.' The set {a -b -c} is a representative set of the cardinal number 3.






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






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






40. The system that Euclid used in The Elements






41. If its final digit is a 0.






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






43. Let a and b be whole numbers. Then a is _______________ by b if and only if the remainder is zero when a is divided by b. In this case - we say that 'b is a divisor of a.'






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






45. 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.






46. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






47. 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.'






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






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






50. 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.