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CLEP College Algebra: Algebra Principles

Subjects : clep, math, algebra
  • Answer 50 questions in 15 minutes.
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  • Match each statement with the correct term.
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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. Include composition and convolution

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

3. Is Written as a

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

5. The squaring operation only produces

6. A + b = b + a

7. If a < b and c < d

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

9. 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'.

10. 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.

11. Is Written as a + b

12. If a < b and b < c

13. A

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

15. Applies abstract algebra to the problems of geometry

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

17. 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

18. () 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.

19. 0 - which preserves numbers: a + 0 = a

20. 1 - which preserves numbers: a^1 = a

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

22. If a < b and c < 0

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

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

25. Are called the domains of the operation

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

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

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

29. A unary operation

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

31. 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)

32. Is algebraic equation of degree one

33. Subtraction ( - )

34. A binary operation

35. 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

36. Operations can have fewer or more than

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

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

39. 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).

40. Not commutative a^b?b^a

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

42. Symbols that denote numbers - is to allow the making of generalizations in mathematics

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

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

45. 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.

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

47. Not associative

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

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

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