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






2. 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






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






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






5. Requirements for Word Problem Solutions.






6. 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






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






8. In this type of geometry the angles of a triangle add up to less than 180 degrees. In such a system - one has to replace the parallel postulate with a version that admits many parallel lines.






9. Solving Equations






10. If its final digit is a 0.






11. 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.






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






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






14. Aka The Osculating Circle - a way to measure the curvature of a line.






15. 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.






16. A group is just a collection of objects (i.e. - elements in a set) that obey a few rules when combined or composed by an operation. In order for a set to be considered a group under a certain operation - each element must have an inverse - the set mu






17. Positive integers are






18. 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.






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

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20. Has no factors other than 1 and itself






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






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

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23. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






24. × - ( )( ) - · - 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






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






26. The expression a/b means






27. 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.'






28. 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






29. A number is divisible by 2






30. Negative






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






32. (a






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






34. The inverse of multiplication






35. Originally known as analysis situs






36. 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.






37. A way to extrinsically measure the curvature of a surface by looking at a given point and finding the contour line with the greatest curvature and the contour line with the least curvature.






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






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






40. Are the fundamental building blocks of arithmetic.






41. If a = b then






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






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






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






45. Mathematical statement that equates two mathematical expressions.






46. The identification of a 'one-to-one' correspondence--enables us to enumerate a set that may be difficult to count in terms of another set that is more easily counted.






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






48. Of central importance in Ramsey Theory - and in combinatorics in general - is the 'pigeonhole principle -' also known as Dirichlet's box. This principle simply states that we cannot fit n+1 pigeons into n pigeonholes in such a way that only one pigeo






49. The state of appearing unchanged.






50. Every solution to a word problem must include a carefully crafted equation that accurately describes the constraints in the problem statement.