# Elementary Algebra by Denny Burzynski

By Denny Burzynski

Basic Algebra is a piece textual content that covers the conventional subject matters studied in a contemporary hassle-free algebra path. it really is meant for college students who (1) don't have any publicity to undemanding algebra, (2) have formerly had an uncongenial adventure with hassle-free algebra, or (3) have to assessment algebraic innovations and strategies.

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Elementary Algebra

Easy Algebra is a piece textual content that covers the conventional themes studied in a latest undemanding algebra path. it really is meant for college students who (1) don't have any publicity to simple algebra, (2) have formerly had an uncongenial adventure with effortless algebra, or (3) have to overview algebraic suggestions and methods.

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Sample text

T✐♣❧② t❤❡ ❢r❛❝t✐♦♥s. 60% ❘❡♣❧❛❝❡ 1 100 ✇✐t❤ t❤❡ % s②♠❜♦❧. 75 ✐s ❝♦♥✈❡rt❡❞ t♦ ❛ 1 100 . 75 · 100 · = 75 · = 75% 1 100 ▼✉❧t✐♣❧② t❤❡ ❞❡❝✐♠❛❧ ❜② ✶✳ 1 100 ❘❡♣❧❛❝❡ 1 100 ✇✐t❤ t❤❡ ✪ s②♠❜♦❧. 623% 1 100 1 100 ◆♦t✐❝❡ t❤❛t t❤❡ ❞❡❝✐♠❛❧ ♣♦✐♥t ✐♥ t❤❡ ♦r✐❣✐♥❛❧ ♥✉♠❜❡r ❤❛s ❜❡❡♥ ♠♦✈❡❞ t♦ t❤❡ r✐❣❤t ✷ ♣❧❛❝❡s✳ ✶✳✽✳✼ ❈♦♥✈❡rt✐♥❣ ❆ P❡r❝❡♥t ❚♦ ❆ ❉❡❝✐♠❛❧ ❲❡ ❝❛♥ s❡❡ ❤♦✇ ❛ ♣❡r❝❡♥t ✐s ❝♦♥✈❡rt❡❞ t♦ ❛ ❞❡❝✐♠❛❧ ❜② ❛♥❛❧②③✐♥❣ t❤❡ ♠❡t❤♦❞ t❤❛t ✶✷✪ ✐s ❝♦♥✈❡rt❡❞ t♦ ❛ ❞❡❝✐♠❛❧✳ ❲❡ ♥❡❡❞ t♦ ✐♥tr♦❞✉❝❡ 1 100 . 12% 1 100 1 100 . = 12 · = 12 100 ▼✉❧t✐♣❧② t❤❡ ❢r❛❝t✐♦♥s.

T❤❡ ♥✉♠❡r❛t♦rs ❛♥❞ ♣❧❛❝❡ t❤❡ s✉♠ ♦✈❡r ✼. = 3+2 7 = 5 7 ❊①❛♠♣❧❡ ✶✳✸✶ 7 9 7 9 − 49 . − 4 9 ❚❤❡ ❞❡♥♦♠✐♥❛t♦rs ❛r❡ t❤❡ s❛♠❡. ❙✉❜tr❛❝t ✹ ❢r♦♠ ✼ ❛♥❞ ♣❧❛❝❡ t❤❡ ❞✐✛❡r❡♥❝❡ ♦✈❡r ✾. = 7−4 9 = 3 9 = 1 3 ✶✳✻✳✽ ❋r❛❝t✐♦♥s ❝❛♥ ♦♥❧② ❜❡ ❛❞❞❡❞ ♦r s✉❜tr❛❝t❡❞ ❝♦♥✈❡♥✐❡♥t❧② ✐❢ t❤❡② ❤❛✈❡ ❧✐❦❡ ❞❡♥♦♠✐♥❛t♦rs✳ ❋r❛❝t✐♦♥s ✇✐t❤ ❯♥❧✐❦❡ ❉❡♥♦♠✐♥❛t♦rs ❚♦ ❛❞❞ ♦r s✉❜tr❛❝t ❢r❛❝t✐♦♥s ❤❛✈✐♥❣ ✉♥❧✐❦❡ ❞❡♥♦♠✐♥❛t♦rs✱ ❝♦♥✈❡rt ❡❛❝❤ ❢r❛❝t✐♦♥ t♦ ❛♥ ❡q✉✐✈❛❧❡♥t ❢r❛❝t✐♦♥ ❤❛✈✐♥❣ ❛s t❤❡ ❞❡♥♦♠✐♥❛t♦r t❤❡ ❧❡❛st ❝♦♠♠♦♥ ♠✉❧t✐♣❧❡ ♦❢ t❤❡ ♦r✐❣✐♥❛❧ ❞❡♥♦♠✐♥❛t♦rs✳ ❚❤❡ ❧❡❛st ❝♦♠♠♦♥ ♠✉❧t✐♣❧❡ ♦❢ t❤❡ ♦r✐❣✐♥❛❧ ❞❡♥♦♠✐♥❛t♦rs ✐s ❝♦♠♠♦♥❧② r❡❢❡rr❡❞ t♦ ❛s t❤❡ ❧❡❛st ❝♦♠♠♦♥ ❞❡♥♦♠✐♥❛t♦r ✭▲❈❉✮✳ ❙❡❡ ❙❡❝t✐♦♥ ❘✳✸ ✭❙❡❝t✐♦♥ ✶✳✹✮ ❢♦r t❤❡ t❡❝❤♥✐q✉❡ ♦❢ ✜♥❞✐♥❣ t❤❡ ❧❡❛st ❝♦♠♠♦♥ ♠✉❧t✐♣❧❡ ♦❢ s❡✈❡r❛❧ ♥✉♠❜❡rs✳ ✶✳✻✳✾ ❙❛♠♣❧❡ ❙❡t ❉ ❋✐♥❞ ❡❛❝❤ s✉♠ ♦r ❞✐✛❡r❡♥❝❡✳ ❊①❛♠♣❧❡ ✶✳✸✷ 1 6 { + 34 .

3 4 ❚❤❡ ❞✐✈✐s♦r ✐s 3 4 4 ✳ ■ts r❡❝✐♣r♦❝❛❧ ✐s 3 . 1 4 3 · 3 1·4 3·3 4 9 = = = ❊①❛♠♣❧❡ ✶✳✷✽ 3 8 3 8 ÷ 54 . ÷ 5 4 ❚❤❡ ❞✐✈✐s♦r ✐s = 3 8 = 3 2·2 2·2·2 · 5 3 · )2 5· )2 )2 · )2 · 2 3·1 2·5 3 10 = = = · 5 4 4 ✳ ■ts r❡❝✐♣r♦❝❛❧ ✐s 5 . 4 5 ✷ ✐s ❛ ❝♦♠♠♦♥ ❢❛❝t♦r✳ ❊①❛♠♣❧❡ ✶✳✷✾ 5 6 5 6 ÷ ÷ 5 12 . 5 12 ❚❤❡ ❞✐✈✐s♦r ✐s = 5 6 = = 5 2·2·3 2·3 · 5 )5 )2 · 2 · )3 · )2 · )3 )5 1·2 1 = 2 = · 12 5 5 12 12 ✳ ■ts r❡❝✐♣r♦❝❛❧ ✐s 5 . ✷✺ ✶✳✻✳✻ ❆❞❞✐t✐♦♥ ❛♥❞ ❙✉❜tr❛❝t✐♦♥ ♦❢ ❋r❛❝t✐♦♥s ❋r❛❝t✐♦♥s ✇✐t❤ ▲✐❦❡ ❉❡♥♦♠✐♥❛t♦rs ❚♦ ❛❞❞ ✭♦r s✉❜tr❛❝t✮ t✇♦ ♦r ♠♦r❡ ❢r❛❝t✐♦♥s t❤❛t ❤❛✈❡ t❤❡ s❛♠❡ ❞❡♥♦♠✐♥❛t♦rs✱ ❛❞❞ ✭♦r s✉❜tr❛❝t✮ t❤❡ ♥✉♠❡r❛t♦rs ❛♥❞ ♣❧❛❝❡ t❤❡ r❡s✉❧t✐♥❣ s✉♠ ♦✈❡r t❤❡ ❝♦♠♠♦♥ ❞❡♥♦♠✐♥❛t♦r✳ ❘❡❞✉❝❡ ✐❢ ♣♦ss✐❜❧❡✳ ❈❆❯❚■❖◆ ❆❞❞ ♦r s✉❜tr❛❝t ♦♥❧② t❤❡ ♥✉♠❡r❛t♦rs✳ ❉♦ ♥♦t ❛❞❞ ♦r s✉❜tr❛❝t t❤❡ ❞❡♥♦♠✐♥❛t♦rs✦ ✶✳✻✳✼ ❙❛♠♣❧❡ ❙❡t ❈ ❋✐♥❞ t❤❡ ❢♦❧❧♦✇✐♥❣ s✉♠s✳ ❊①❛♠♣❧❡ ✶✳✸✵ 3 7 3 7 + 27 .