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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. Negative






2. 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






3. Multiplication is equivalent to






4. An arrangement where order matters.






5. The expression a/b means






6. 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.






7. Cannot be written as a ratio of natural numbers.






8. 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.'






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






10. 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






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






12. 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






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






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






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






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






17. 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






18. 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.






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






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






21. The state of appearing unchanged.






22. A sphere can be thought of as a stack of circular discs of increasing - then decreasing - radii. The process of slicing is one way to visualize higher-dimensional objects via level curves and surfaces. A hypersphere can be thought of as a 'stack' of






23. 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).






24. Perform all additions and subtractions in the order presented






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






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






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






28. If grouping symbols are nested






29. Is a symbol (usually a letter) that stands for a value that may vary.






30. 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






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

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






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






34. (a · b) · c = a · (b · c)






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






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






37. × - ( )( ) - · - 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






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






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






40. 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).






41. (a






42. Says that when a random process - such as dropping marbles through a Galton board - is repeated many times - the frequencies of the observed outcomes get increasingly closer to the theoretical probabilities.






43. A(b + c) = a · b + a · c a(b - c) = a · b - a · c






44. The inverse of multiplication






45. N = {1 - 2 - 3 - 4 - 5 - . . .}.






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






47. Positive integers are






48. Assuming that the air is of uniform density and pressure to begin with - a region of high pressure will be balanced by a region of low pressure - called rarefaction - immediately following the compression






49. If a = b then






50. In the expression 3