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61 0 96 4672 0 0 0 65535 2 Standard 65535 0 0 0 0 0 0 0 0 0 65535 0 0 65535 1 0 0 0 0
121 0 99 512 0 0 0 65535 2 Standard 65535 0 0 0 0 0 0 0 0 0 65535 0 0 65535 1 0 0 0 0
177 0 25 1025 0 0 0 65535 2 Standard 65535 0 0 0 0 0 0 0 0 0 65535 0 0 65535 1 0 0 0 0
[edoc]
<:h<*.>
<:f><:f240,QCourier New,0,0,0>Skill-Oriented Algebra <:f> <:f240,QCourier New,0,0,0>
<:P185,82, Page > IBM PC & Compatibles<:f>
>
<:f200,QCourier New,0,0,0> <:f><:f200,QCourier New,0,0,0>ALGEBRA, A SKILL-ORIENTED APPROACH
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>CATALOG
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>All exercises (except those in <[>intro]), can be adjusted by the user for levels
<:#216,9936><:f200,QCourier New,0,0,0>of difficulty. Answers are provided in forms suitable to the classroom
<:#216,9936><:f200,QCourier New,0,0,0>situation, i.e., fractions only (where applicable) with positive, rationalized
<:#216,9936><:f200,QCourier New,0,0,0>denominators; no decimals.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>intro] Introduction to algebra. This program provides the following
<:#216,9936><:f200,QCourier New,0,0,0> exercises:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Axioms and postulates.
<:#216,9936><:f200,QCourier New,0,0,0> 2. The real number system.
<:#216,9936><:f200,QCourier New,0,0,0> 3. Order of operations.
<:#216,9936><:f200,QCourier New,0,0,0> 4. Algebraic expressions.
<:#216,9936><:f200,QCourier New,0,0,0> 5. A test covering all the areas outlined above. It is recommended
<:#216,9936><:f200,QCourier New,0,0,0> this be an "open-book" test; i.e., student notebooks permitted.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>isn] Signed number arithmetic, integers. This program pro- vides the
<:#216,9936><:f200,QCourier New,0,0,0> following exercises, (75 line-items, each).
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Addition, subtraction and mixed, addition and subtraction.
<:#216,9936><:f200,QCourier New,0,0,0> 2. Multiplication, division and m<:f200,QCourier New,0,0,0>ixed, multiplication and division.
<:#216,9936><:f200,QCourier New,0,0,0> 3. Sequenced operations, 15 items each in addition, subtraction
<:#216,9936><:f200,QCourier New,0,0,0> multiplication and division. The last15 items are mixed addition
<:#216,9936><:f200,QCourier New,0,0,0> and subtraction.
<:#216,9936><:f200,QCourier New,0,0,0> 4. Random mix, all operations.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>eqs1] Linear equations, one variable. Exercises are provided in the five
<:#216,9936><:f200,QCourier New,0,0,0> options indicated below:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Ax + B = C or C = Ax + B
<:#216,9936><:f200,QCourier New,0,0,0> 2. Ax + B = Cx + D
<:#216,9936><:f200,QCourier New,0,0,0> 3. A(Bx + C) = Dx + E or Dx + E = A(Bx + C)
<:#216,9936><:f200,QCourier New,0,0,0> 4. A(Bx + C) + D = E + F(G + Hx)
<:#216,9936><:f200,QCourier New,0,0,0> 5. A two-page test with 24 items, sequenced in the same order listed
<:#216,9936><:f200,QCourier New,0,0,0> above, and graduated in level<:f200,QCourier New,0,0,0>s of difficulty.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>xplot] Linear equations in two variables, plotting. These are simple
<:#216,9936><:f200,QCourier New,0,0,0> exercises containing nine items each, comprising an introduction to
<:#216,9936><:f200,QCourier New,0,0,0> linear equations in two variables. All equations are in the
<:#216,9936><:f200,QCourier New,0,0,0> slope-intercept form:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> y = mx + b
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>lineqs] Linear equations, two variables. Options are as listed below:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#432,9936><:f200,QCourier New,0,0,0> 1. Finding equations given the slopes or y-intercepts and one
<:f><:f200,QCourier New,0,0,0>ordered pair of integers with--
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> a. Slopes or y-intercepts given directly.
<:#216,9936><:f200,QCourier New,0,0,0> b. Slopes or y-intercepts given indirectly.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 2. Finding slopes or full equations given two ordered pairs of
<:#216,9936><:f200,QCourier New,0,0,0> integers.
<:#216,9936><:f200,QCourier New,0,0,0>
<:f200,QCourier New,0,0,0> 3. A two page test with all the options listed above.<:p<* >>
<:f200,QCourier New,0,0,0><:f><:f200,QCourier New,0,0,0><[>simeqs] Simultaneous equations, two variables. All equations are given in
<:#216,9936><:f200,QCourier New,0,0,0> standard form, e.g., Ax + By = C. *Options are as listed below:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Plotting two equations, finding "ntersection".
<:#216,9936><:f200,QCourier New,0,0,0> 2. Finding intersections (solutions) by substitution.
<:#216,9936><:f200,QCourier New,0,0,0> 3. Finding intersections by addition and subtraction.
<:#216,9936><:f200,QCourier New,0,0,0> 4. Finding intersections by method of matrices.
<:#216,9936><:f200,QCourier New,0,0,0> 5. Sequenced mix of all exercises listed above.
<:#216,9936><:f200,QCourier New,0,0,0> 6. A two-page test with all the options listed above.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>*One further option is offered that generates equations in two, three or four
<:#216,9936><:f200,QCourier New,0,0,0>variables. Non-independent sets are sometimes generated. The user must command
<:#216,9936><:f200,QCourier New,0,0,0>small "coefficients" to increase this possibility. The program then checks for
<:#216,9936><:f200,QCourier New,0,0,0>linear dependence and identifies sets with non-independent equations: no
<:#216,9936><:f200,QCourier New,0,0,0>"solutions." Occasionally, these equations are used (at the board) to illustrate
<:#216,9936><:f200,QCourier New,0,0,0>the power of the "matrix" method. Discretion is advised.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>trifact] Quadratic equations, employing all variations except equations with
<:#216,9936><:f200,QCourier New,0,0,0> complex solutions. Options follow:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1.<:f200,QCourier New,0,0,0> Multiplying binomials and monomials.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#432,9936><:f200,QCourier New,0,0,0> 2. Factoring trinomials and binomials, (all factorable over
<:f><:f200,QCourier New,0,0,0>the set of integers).
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 3. Solving factorable quadratic equations.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 4. A two-page test with all the options as listed above.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> All exercises are offered with the additional options of
<:#216,9936><:f200,QCourier New,0,0,0> positive or mixed (positive and negative) quadratic terms,
<:#216,9936><:f200,QCourier New,0,0,0> factorable constants, or non-standard equations (where
<:#216,9936><:f200,QCourier New,0,0,0> applicable).
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>f.eqs] Fractional equations. Five options offered as list below. The last
<:#216,9936><:f200,QCourier New,0,0,0> type, (number 5.), results in quadratic equations.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> Ax + B Dx + E C F
<:#216,9936><:f200,QCourier New,0,0,0> 1. -------- = -------- or -------- = --------
<:#216,9936><:f200,QCourier New,0,0,0> C F Ax + B Dx + E
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> A
<:#216,9936><:f200,QCourier New,0,0,0> 2. -------- + D = E
<:#216,9936><:f200,QCourier New,0,0,0> Bx + C
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> A
<:#216,9936><:f200,QCourier New,0,0,0> 3. --------<:f200,QCourier New,0,0,0> + Dx = E
<:#216,9936><:f200,QCourier New,0,0,0> Bx + C
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> A C E A C
<:#216,9936><:f200,QCourier New,0,0,0> 4. ---- + ---- = --- or ---- + ---- = E
<:#216,9936><:f200,QCourier New,0,0,0> Bx Dx F Bx Dx
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> A
<:#216,9936><:f200,QCourier New,0,0,0> 5. -------- + D = Ex + F
<:#216,9936><:f200,QCourier New,0,0,0> Bx + C
<:#216,9936><:f200,QCourier New,0,0,0>
<:f200,QCourier New,0,0,0> 6. A two-page test with all the options listed above.<:p<* >>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>eqs1.d] Decimal equations. In the options listed below, all capital letters
<:#216,9936><:f200,QCourier New,0,0,0> are decimal constants.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Ax + B = C or C = Ax + B
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 2. Ax + B = Cx + D
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 3. A(Bx + C) = Dx + E or Dx + E = A(Bx + C)
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 4. A two page test with all the options listed above.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> End of "Standard" Course
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>It should be recalled that this course is
<:f200,QCourier New,0,0,0>not designed for "at<:f200,QCourier New,0,0,0> or above"
<:#216,9936><:f200,QCourier New,0,0,0>grade-level students. The remaining exercises can be extremely difficult (and
<:#216,9936><:f200,QCourier New,0,0,0>therefore discouraging). This is particularly true of the "rationals." They
<:#216,9936><:f200,QCourier New,0,0,0>should be used with discretion.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>rfex] Rational fractions, exponentials. In all exercises, exponents may be
<:#216,9936><:f200,QCourier New,0,0,0> chosen positive, negative or both.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Multiplication, division or mixed, multiplication and division.
<:#216,9936><:f200,QCourier New,0,0,0> 2. Addition, subtraction or mixed, addition and subtraction.
<:#216,9936><:f200,QCourier New,0,0,0> 3. Line multiply, including "powers to powers."
<:#216,9936><:f200,QCourier New,0,0,0> 4. Simplify.
<:#216,9936><:f200,QCourier New,0,0,0> 5. Mixed exercises, all types, one page.
<:#216,9936><:f200,QCourier New,0,0,0> 6. A two page test with all the options listed above.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>rff] Rational fractions, factorables. Options follow:
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0> 1. Addition, subtraction or mixed, addition and subtraction.
<:#216,9936><:f200,QCourier New,0,0,0> 2. Multiplication, division or mixed, multiplication and division.
<:#216,9936><:f200,QCourier New,0,0,0> 3. Simplify.
<:#216,9936><:f200,QCourier New,0,0,0> 4. Sequential mix, all types, one page.
<:#216,9936><:f200,QCourier New,0,0,0> 5. A two page test with all the options listed above.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0><[>quad] Quadratic equations, standard forms, with real or complex solutions,
<:#216,9936><:f200,QCourier New,0,0,0> user's choice. In the public schools, this subject area is often
<:#216,9936><:f200,QCourier New,0,0,0> deferred to advanced algebra.
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
<:#216,9936><:f200,QCourier New,0,0,0>
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<:#288,9936>
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>
[Embedded]
00019258
