Test your basic knowledge |

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. A value that represents a quantity along a continuum - such as -5 (an integer) - 4/3 (a rational number that is not an integer) - 8.6 (a rational number given by a finite decimal representation) - v2 (the square root of two - an algebraic number that






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






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






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






5. Letters from the beginning of the alphabet like a - b - c... often denote






6. often express relationships between given quantities - the knowns - and quantities yet to be determined - the unknowns.






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






8. A unary operation






9. Is called the type or arity of the operation






10. A binary operation






11. Include composition and convolution






12. Is a basic technique used to simplify problems in which the original variables are replaced with new ones; the new and old variables being related in some specified way.






13. Are denoted by letters at the end of the alphabet - x - y - z - w - ...






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






15. 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






16. Can be expressed in the form ax^2 + bx + c = 0 - where a is not zero (if it were zero - then the equation would not be quadratic but linear).






17. A






18. If a < b and c > 0






19. May not be defined for every possible value.






20. Is Written as a + b






21. 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'.






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






23. Will have two solutions in the complex number system - but need not have any in the real number system.






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






25. Is Written as a






26. If a < b and c < d






27. 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)






28. An equivalent for y can be deduced by using one of the two equations. Using the second equation: Subtracting 2x from each side of the equation: and multiplying by -1: Using this y value in the first equation in the original system: Adding 2 on each s






29. Is algebraic equation of degree one






30. An operation of arity zero is simply an element of the codomain Y - called a






31. Transivity: if a < b and b < c then a < c; that if a < b and c < d then a + c < b + d; that if a < b and c > 0 then ac < bc; that if a < b and c < 0 then bc < ac.






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






33. Is an equation involving integrals.






34. Are called the domains of the operation






35. A + b = b + a






36. Not associative






37. 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.






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






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






40. Are denoted by letters at the beginning - a - b - c - d - ...






41. 1 - which preserves numbers: a






42. The squaring operation only produces






43. 0 - which preserves numbers: a + 0 = a






44. () is the branch of mathematics concerning the study of the rules of operations and relations - and the constructions and concepts arising from them - including terms - polynomials - equations and algebraic structures.






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






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






47. The process of expressing the unknowns in terms of the knowns is called






48. Take two values - and include addition - subtraction - multiplication - division - and exponentiation.






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






50. Is an equation involving only algebraic expressions in the unknowns. These are further classified by degree.