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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. If its final digit is a 0 or 5.






2. If a = b then






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






4. The system that Euclid used in The Elements






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






6. 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.






7. Requirements for Word Problem Solutions.






8. The state of appearing unchanged.






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






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






11. Add and subtract






12. 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.






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






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






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






16. If a = b then






17. 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






18. A · 1/a = 1/a · a = 1






19. 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






20. 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






21. A number is divisible by 2






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

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23. Use parentheses - brackets - or curly braces to delimit the part of an expression you want evaluated first.






24. The study of shape from an external perspective.






25. A point in one dimension requires only one number to define it. The number line is a good example of a one-dimensional space.






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






27. 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






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






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






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






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






32. If its final digit is a 0.






33. (a · b) · c = a · (b · c)






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






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






36. Also known as 'clock math -' incorporates 'wrap around' effects by having some number other than zero play the role of zero in addition - subtraction - multiplication - and division.






37. A · b = b · a






38. 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






39. 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.






40. An arrangement where order matters.






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






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






43. Negative






44. Perform all additions and subtractions in the order presented






45. 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.'






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






47. 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






48. A + b = b + a






49. 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.






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