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

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2. Let a - b - and c be any whole numbers. Then - a






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






4. It is important to note that this step does not imply that you should simply check your solution in your equation. After all - it's possible that your equation incorrectly models the problem's situation - so you could have a valid solution to an inco






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






6. 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






7. (a + b) + c = a + (b + c)






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






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






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






11. 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.






12. 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).






13. 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






14. 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






15. Reveals why we tend to find structure in seemingly random sets. Ramsey numbers indicate how big a set must be to guarantee the existence of certain minimal structures.






16. 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






17. × - ( )( ) - · - 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






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






19. (a · b) · c = a · (b · c)






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






21. 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.






22. The fundamental theorem of arithmetic says that






23. If a - b - and c are any whole numbers - then a






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






25. 1. Find the prime factorizations of each number. To find the prime factorization one method is a factor tree where you begin with any two factors and proceed by dividing the numbers until all the ends are prime factors. 2. Star factors which are shar






26. 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






27. A topological object that can be used to study the allowable states of a given system.






28. 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.






29. The expression a/b means






30. This method can create a flat map from a curved surface while preserving all angles in any features present.






31. 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






32. Index p radicand






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






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






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






37. 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.






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






39. 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.'






40. A flat map of hyperbolic space.






41. You must let your readers know what each variable in your problem represents. This can be accomplished in a number of ways: Statements such as 'Let P represent the perimeter of the rectangle.' - Labeling unknown values with variables in a table - Lab






42. If the sum of its digits is divisible by 3 (ex: 3591 is divisible by 3 since 3 + 5 + 9 + 1 = 18 is divisible by 3).






43. A number is divisible by 2






44. 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.






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






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






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






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






50. A + 0 = 0 + a = a