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






2. Is an equation involving derivatives.






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






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






5. 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






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






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






9. Is an action or procedure which produces a new value from one or more input values.






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






11. 0 - which preserves numbers: a + 0 = a






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






13. If a < b and c < 0






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






15. Is algebraic equation of degree one






16. Can be defined axiomatically up to an isomorphism






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






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






19. Are called the domains of the operation






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






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






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






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






24. (a






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






26. If a < b and b < c






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






28. 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.






29. Include composition and convolution






30. 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)






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






32. The operation of multiplication means _______________: a






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






34. An operation of arity k is called a






35. 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).






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






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






38. The value produced is called






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






40. Applies abstract algebra to the problems of geometry






41. () 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.






42. A binary operation






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






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






45. Logarithm (Log)






46. Is an equation in which a polynomial is set equal to another polynomial.






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






48. Can be added and subtracted.






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






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