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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. Division ( / )






2. Subtraction ( - )






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






4. 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






5. 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






6. Include composition and convolution






7. If a < b and c < 0






8. Are called the domains of the operation






9. Is an equation in which the unknowns are functions rather than simple quantities.






10. 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






11. A vector can be multiplied by a scalar to form another vector






12. Logarithm (Log)






13. 1 - which preserves numbers: a






14. The value produced is called






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






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






17. If a = b then b = a






18. 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.






19. Involve only one value - such as negation and trigonometric functions.






20. Is Written as a + b






21. Means repeated addition of ones: a + n = a + 1 + 1 +...+ 1 (n number of times) - has an inverse operation called subtraction: (a + b) - b = a - which is the same as adding a negative number - a - b = a + (-b)






22. The values of the variables which make the equation true are the solutions of the equation and can be found through






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






24. A binary operation






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






26. Is an assignment of values to all the unknowns so that all of the equations are true. also called set simultaneous equations.






27. A unary operation






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






29. () 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.






30. 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.






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






32. Some equations are true for all values of the involved variables (such as a + b = b + a); such equations are called






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






34. Elementary algebra - Abstract algebra - Linear algebra - Universal algebra - Algebraic number theory - Algebraic geometry - Algebraic combinatorics






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






36. The values combined are called






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






38. Is called the codomain of the operation






39. Is an equation of the form aX = b for a > 0 - which has solution






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. Are true for only some values of the involved variables: x2 - 1 = 4.






42. b = b






43. Is an equation of the form X^m/n = a - for m - n integers - which has solution






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






45. Algebra comes from Arabic al-jebr meaning '______________'. Studies the effects of adding and multiplying numbers - variables - and polynomials - along with their factorization and determining their roots. Works directly with numbers. Also covers sym






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






47. In which properties common to all algebraic structures are studied






48. If a < b and c < d






49. Referring to the finite number of arguments (the value k)






50. Include the binary operations union and intersection and the unary operation of complementation.