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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. If a = b then






2. In a mathematical sense - it is a transformation that leaves an object invariant. Symmetry is perhaps most familiar as an artistic or aesthetic concept. Designs are said to be symmetric if they exhibit specific kinds of balance - repetition - and/or






3. 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.






4. If grouping symbols are nested






5. A · b = b · a






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






7. Are the fundamental building blocks of arithmetic.






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






9. 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






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






11. A + b = b + a






12. 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.






13. 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.






14. Arise from the attempt to measure all quantities with a common unit of measure.






15. Points in two-dimensional space require two numbers to specify them completely. The Cartesian plane is a good way to envision two-dimensional space.






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






17. 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).






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






19. 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.'






20. Trigonometric functions - such as sine and cosine - are useful for modeling sound waves - because they oscillate between values






21. If a = b then






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

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23. 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






24. A number is divisible by 2






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






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






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






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






29. An arrangement where order matters.






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






31. 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 -






32. The system that Euclid used in The Elements






33. 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






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






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






36. If its final digit is a 0.






37. If a = b then






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

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39. 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.






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






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






42. 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.






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






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






45. An important part of problem solving is identifying






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






47. Is a path that visits every node in a graph and ends where it began.






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






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






50. The state of appearing unchanged.