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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. 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.'






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






3. Is the shortest string that contains all possible permutations of a particular length from a given set.






4. If a represents any whole number - then a






5. 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






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






7. Rules for Rounding - To round a number to a particular place - follow these steps:






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






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






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






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






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






13. Positive integers are






14. 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.






15. When writing mathematical statements - follow the mantra:






16. The inverse of multiplication






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






18. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






19. If a = b then






20. 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).






21. An important part of problem solving is identifying






22. Solving Equations






23. W = {0 - 1 - 2 - 3 - 4 - 5 - . . .} is called






24. 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.






25. 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






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






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






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






29. 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.






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






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






32. A flat map of hyperbolic space.






33. The fundamental theorem of arithmetic says that






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






35. To describe and extend a numerical pattern






36. Mathematical statement that equates two mathematical expressions.






37. 4 more than a certain number is 12






38. The state of appearing unchanged.






39. × - ( )( ) - · - 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






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






41. 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.






42. A + 0 = 0 + a = a






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






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






45. The expression a/b means






46. The surface of a standard 'donut shape'.






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






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






49. A · 1 = 1 · a = a






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







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