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






2. Perform all additions and subtractions in the order presented






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






4. 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).






5. Solving Equations






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






7. When writing mathematical statements - follow the mantra:






8. 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






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






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






11. A






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






13. 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.






14. 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






15. 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.






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. 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.






18. 4 more than a certain number is 12






19. 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






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






21. If a = b then






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






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






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






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






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






27. The fundamental theorem of arithmetic says that






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






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






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






31. (a · b) · c = a · (b · c)






32. If a = b then






33. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






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






35. 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.






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






37. All integers are thus divided into three classes:






38. Are the fundamental building blocks of arithmetic.






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






40. The state of appearing unchanged.






41. A number is divisible by 2






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






43. 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.






44. 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.






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






46. Positive integers are






47. If a is any whole number - then a






48. Whether or not we hear waves as sound has everything to do with their _____________ - or how many times every second the molecules switch from compression to rarefaction and back to compression again - and their intensity - or how much the air is com






49. 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.






50. If a = b then







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