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






2. 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.






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






4. A






5. Not associative






6. 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)






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






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






9. Is called the type or arity of the operation






10. Are called the domains of the operation






11. b = b






12. In which the properties of numbers are studied through algebraic systems. Number theory inspired much of the original abstraction in algebra.






13. An operation of arity k is called a






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






15. Can be combined using logic operations - such as and - or - and not.






16. Division ( / )






17. Sometimes also called modern algebra - in which algebraic structures such as groups - rings and fields are axiomatically defined and investigated.






18. If a < b and b < c






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






20. () 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.






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






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






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






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






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






26. The value produced is called






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






28. Include composition and convolution






29. 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






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






31. Is Written as a + b






32. 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






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






34. May contain numbers - variables and arithmetical operations. These are conventionally written with 'higher-power' terms on the left






35. Logarithm (Log)






36. May not be defined for every possible value.






37. 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.






38. 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.


39. Is an equation involving integrals.






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






41. 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.






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






43. Subtraction ( - )






44. The operation of multiplication means _______________: a






45. If a < b and c < d






46. A unary operation






47. In which the specific properties of vector spaces are studied (including matrices)






48. 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.






49. A + b = b + a






50. Is Written as a