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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 an algebraic 'sentence' containing an unknown quantity.






2. Logarithm (Log)






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






4. Can be combined using the function composition operation - performing the first rotation and then the second.






5. Subtraction ( - )






6. 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).






7. If a < b and b < c






8. An operation of arity k is called a






9. The values combined are called






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






11. Include composition and convolution






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






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






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






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 c < 0






17. Together with geometry - analysis - topology - combinatorics - and number theory - algebra is one of the main branches of






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






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






20. 0 - which preserves numbers: a + 0 = a






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






22. The squaring operation only produces






23. 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.






24. Division ( / )






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






26. If a = b then b = a






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






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






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






31. Elementary algebraic techniques are used to rewrite a given equation in the above way before arriving at the solution. then - by subtracting 1 from both sides of the equation - and then dividing both sides by 3 we obtain






32. 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






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






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






35. The value produced is called






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






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






38. k-ary operation is a






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






40. Operations can have fewer or more than






41. 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)






42. There are two common types of operations:






43. A binary operation






44. 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)






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






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






47. 1 - which preserves numbers: a






48. 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'.






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






50. A unary operation