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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. 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






2. 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.






3. 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.






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






5. This means that for any two magnitudes - one should always be able to find a fundamental unit that fits some whole number of times into each of them (i.e. - a unit whose magnitude is a whole number factor of each of the original magnitudes)






6. An important part of problem solving is identifying






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






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






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






10. 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






11. If a = b then






12. Positive integers are






13. A flat map of hyperbolic space.






14. 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.






15. A






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






17. Determines the likelihood of events that are not independent of one another.






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






19. When writing mathematical statements - follow the mantra:






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






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






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






23. Rules for Rounding - To round a number to a particular place - follow these steps:






24. 4 more than a certain number is 12






25. 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






26. 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






27. If on a surface there is no meaningful way to tell an object's orientation (left or right handedness) - the surface is said to be non-orientable.






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






29. (a · b) · c = a · (b · c)






30. 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 -






31. 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.






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






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






34. × - ( )( ) - · - 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






35. 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.






36. A graph in which every node is connected to every other node is called a complete graph.






37. 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).






38. Writing Mathematical equations - arrange your work one equation






39. Codifies the 'average behavior' of a random event and is a key concept in the application of probability.






40. If a = b then






41. A way to analyze sequences of events where the outcomes of prior events affect the probability of outcomes of subsequent events.






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






43. 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.






44. The study of shape from an external perspective.






45. A whole number (other than 1) is a _____________ if its only factors (divisors) are 1 and itself. Equivalently - a number is prime if and only if it has exactly two factors (divisors).






46. 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






47. All integers are thus divided into three classes:






48. Uses second derivatives to relate acceleration in space to acceleration in time.






49. The system that Euclid used in The Elements






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