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. 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).






2. 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.

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183


3. 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






4. If a < b and c > 0






5. Is a way of solving a functional equation of two polynomials for a number of unknown parameters. It relies on the fact that two polynomials are identical precisely when all corresponding coefficients are equal. The method is used to bring formulas in






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






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






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






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






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






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






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






13. Is an equation involving integrals.






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






15. 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.






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






17. 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'.






18. Is algebraic equation of degree one






19. A unary operation






20. Division ( / )






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






22. Is Written as a + b






23. Logarithm (Log)






24. Are called the domains of the operation






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






26. The operation of exponentiation means ________________: a^n = a






27. In which abstract algebraic methods are used to study combinatorial questions.






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






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






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






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






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






34. 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.






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






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






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






38. () 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.






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






40. Include composition and convolution






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






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






43. b = b






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






45. Real numbers can be thought of as points on an infinitely long line where the points corresponding to integers are equally spaced called the






46. If a = b then b = a






47. 0 - which preserves numbers: a + 0 = a






48. Applies abstract algebra to the problems of geometry






49. The value produced is called






50. 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







Sorry!:) No result found.

Can you answer 50 questions in 15 minutes?


Let me suggest you:

Browse all subjects

Browse all tests

Most popular tests



Major Subjects

Tests & Exams


AP
CLEP
DSST
GRE
SAT
GMAT

Browse all subjects

Browse all tests

Most popular tests