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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. 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.






2. 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






3. Division by zero is undefined. Each of the expressions 6






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






5. Index p radicand






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






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






8. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






9. Perform all additions and subtractions in the order presented






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






11. If a = b then






12. When writing mathematical statements - follow the mantra:






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

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14. If a is any whole number - then a






15. 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.






16. 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.






17. 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






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






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






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






21. Has no factors other than 1 and itself






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






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






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

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25. 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.'






26. 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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27. The amount of displacement - as measured from the still surface line.






28. 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.






29. 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.






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






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






32. 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






33. Are the fundamental building blocks of arithmetic.






34. 4 more than a certain number is 12






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






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






37. The inverse of multiplication






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






39. 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.'






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






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






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






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






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






45. 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.






46. If a = b then






47. 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.'






48. All integers are thus divided into three classes:






49. (a






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