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CLEP College Algebra: Algebra Principles

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. Is algebraic equation of degree one






2. Is an algebraic 'sentence' containing an unknown quantity.






3. If a < b and c < d






4. 0 - which preserves numbers: a + 0 = a






5. Logarithm (Log)






6. Are linear equations that have only one variable. They contain only constant numbers and a single variable without an exponent. For example:






7. Reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






8. Is the claim that two expressions have the same value and are equal.






9. The codomain is the set of real numbers but the range is the






10. Is a binary relation on a set for which every element is related to itself - i.e. - a relation ~ on S where x~x holds true for every x in S. For example - ~ could be 'is equal to'.






11. Division ( / )






12. If an equation in algebra is known to be true - the following operations may be used to produce another true equation:






13. A distinction is made between the equality sign ( = ) for an equation and the equivalence symbol () for an






14. Is synonymous with function - map and mapping - that is - a relation - for which each element of the domain (input set) is associated with exactly one element of the codomain (set of possible outputs).






15. Symbols that denote numbers - letters from the end of the alphabet - like ...x - y - z - are usually reserved for the






16. If a = b and b = c then a = c






17. Parenthesis and other grouping symbols including brackets - absolute value symbols - and the fraction bar - exponents and roots - multiplication and division - addition and subtraction






18. Is an equation of the form log`a^X = b for a > 0 - which has solution






19. An example of solving a system of linear equations is by using the elimination method: Multiplying the terms in the second equation by 2: Adding the two equations together to get: which simplifies to Since the fact that x = 2 is known - it is then po






20. If it holds for all a and b in X that if a is related to b then b is related to a.






21. Is to add - subtract - multiply - or divide both sides of the equation by the same number in order to isolate the variable on one side of the equation. Once the variable is isolated - the other side of the equation is the value of the variable.






22. If a = b then b = a






23. If a = b and c = d then a + c = b + d and ac = bd; that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.

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24. That if a = b and c = d then a + c = b + d and ac = bd;that if a = b then a + c = b + c; that if two symbols are equal - then one can be substituted for the other.






25. If a < b and c > 0






26. The relation of equality (=) is...reflexive: b = b; symmetric: if a = b then b = a; transitive: if a = b and b = c then a = c.






27. Is an equation involving a transcendental function of one of its variables.






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






29. An operation of arity k is called a






30. The inner product operation on two vectors produces a






31. Two equations in two variables - it is often possible to find the solutions of both variables that satisfy both equations.






32. The values for which an operation is defined form a set called its






33. Is an equation involving derivatives.






34. In an equation with a single unknown - a value of that unknown for which the equation is true is called






35. Is a function of the form ? : V ? Y - where V ? X1






36. A






37. The operation of multiplication means _______________: a






38. using factorization (the reverse process of which is expansion - but for two linear terms is sometimes denoted foiling).






39. 1 - which preserves numbers: a






40. The set which contains the values produced is called the codomain - but the set of actual values attained by the operation is its






41. Can be added and subtracted.






42. Is a squared (multiplied by itself) number subtracted from another squared number. It refers to the identity






43. Is called the type or arity of the operation






44. The value produced is called






45. Implies that the domain of the function is a power of the codomain (i.e. the Cartesian product of one or more copies of the codomain)






46. Symbols that denote numbers - is to allow the making of generalizations in mathematics






47. Introduces the concept of variables representing numbers. Statements based on these variables are manipulated using the rules of operations that apply to numbers - such as addition. This can be done for a variety of reasons - including equation solvi






48. A mathematical statement that asserts the equality of two expressions - this is written by placing the expressions on either side of an equals sign (=).






49. Is Written as ab or a^b






50. Is an equation where the unknowns are required to be integers.