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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. × - ( )( ) - · - 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






2. GThe mathematical study of space. The geometry of a space goes hand in hand with how one defines the shortest distance between two points in that space.






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






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






5. In any ratio of two whole numbers - expressed as a fraction - we can interpret the first (top) number to be the 'counter -' or numerator






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






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






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






9. Is the length around an object. Used to calculate such things as fencing around a yard - trimming a piece of material - and the amount of baseboard needed for a room.It is not necessary to have a formula since it is always just calculated by adding t






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






11. 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.






12. A flat map of hyperbolic space.






13. Solving Equations






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






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






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






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






18. An arrangement where order matters.






19. 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.






20. A · b = b · a






21. 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






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






23. 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.






24. A + b = b + a






25. 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.






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






27. 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






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






30. If a is any whole number - then a






31. Every whole number can be uniquely factored as a product of primes. This result guarantees that if the prime factors are ordered from smallest to largest - everyone will get the same result when breaking a number into a product of prime factors.






32. 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.






33. 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






34. A · 1/a = 1/a · a = 1






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






36. Index p radicand






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






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






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






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






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

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42. In the expression 3






43. 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






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






45. A number is divisible by 2






46. A factor tree is a way to visualize a number's






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






48. 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).






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






50. If its final digit is a 0.