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






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






3. An equation is a numerical value that satisfies the equation. That is - when the variable in the equation is replaced by the solution - a true statement results.






4. 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.






5. The study of shape from an external perspective.






6. When comparing two whole numbers a and b - only one of three possibilities is true: a < b or a = b or a > b.






7. Our standard notions of Pythagorean distance and angle via the inner product extend quite nicely from three-space.






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






9. 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






10. 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.






11. A number is divisible by 2






12. If a = b then a + c = b + c If a = b then a - c = b - c If a = b then a






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






14. TA model of a sequence of random events. Each marble that passes through the system represents a trial consisting of as many random events as there are rows in the system.






15. 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.






16. 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.






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






18. Solving Equations






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






20. 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






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






22. 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






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






24. A






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






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






27. Topological objects are categorized by their _______ (number of holes). The genus of a surface is a feature of its global topology.






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






29. 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.






30. 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






31. An important part of problem solving is identifying






32. 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).






33. 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.






34. Some favor repeatedly dividing by 2 until the result is no longer divisible by 2. Then try repeatedly dividing by the next prime until the result is no longer divisible by that prime. The process terminates when the last resulting quotient is equal t






35. To describe and extend a numerical pattern






36. 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






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






38. A + b = b + a






39. The system that Euclid used in The Elements






40. If we start with a number x and subtract a number a - then adding a to the result will return us to the original number x. In symbols - x - a + a = x. So -






41. A · 1 = 1 · a = a






42. Public key encryption allows two parties to communicate securely over an un-secured computer network using the properties of prime numbers and modular arithmetic. RSA is the modern standard for public key encryption.






43. Mathematical statement that equates two mathematical expressions.






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






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






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






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






48. All integers are thus divided into three classes:






49. 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






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