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






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






3. 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 -






4. Means approximately equal.






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






6. In the expression 3






7. 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.






8. A · b = b · a






9. 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






10. 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






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






12. Solving Equations






13. If its final digit is a 0.






14. Add and subtract






15. Non-Euclidean geometries abide by some - but not all of Euclid's five postulates.






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






17. A + b = b + a






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






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






20. A






21. The distribution of averages of many trials is always normal - even if the distribution of each trial is not.






22. Perform all additions and subtractions in the order presented






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






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






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






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






27. Requirements for Word Problem Solutions.






28. If a is any whole number - then a






29. Used to display measurements. The measurement was taken is placed on the horizontal axis - and the height of each bar equals the amount during that year.






30. 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.






31. 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






32. To describe and extend a numerical pattern






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






34. 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






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






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






37. The state of appearing unchanged.






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






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






40. Has no factors other than 1 and itself






41. The answer to the question of why the primes occur where they do on the number line has eluded mathematicians for centuries. Gauss's Prime Number Theorem is perhaps one of the most famous attempts to find the 'pattern behind the primes.'






42. Are the fundamental building blocks of arithmetic.






43. 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






44. If a = b then






45. 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.






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






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






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






49. × - ( )( ) - · - 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






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