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20/20 Rational Expressions スクリーンショット
About 20/20 Rational Expressions
A power learning aid combines Guides, Practice and Coaching Calculators to help students master rational expression or rational fraction simplification and rational equation solving.
Rational expression Practice and Coaching Calculators take you step-by-step through the simplification of expressions such as :
(6x³ + 7x² - 1)/(2x² + 3x + 1)
(x² + 6x + 8)/(x + 2)
(x² - 5x + 6)/(14 + 3x - 5x²)
(3x - 9)/(6x - 12)
Detailed steps :
- Factoring out numeric or algebraic factors
- Factoring linear numerators/denominators
- Factoring quadratic numerators/denominators
- Factoring cubic numerators/denominators
- Dividing out or canceling common factors
Rational equation Practice takes you step-by-step through the solving of equations such as :
(5x + 3)/4 + (1 + 3x)/5 = 4/5
2/(3x²) + 5/x = 3/(4x)
1/(3x + 6) - 3/(5x² + 8x - 4) = -5/(15x - 6)
(2x - 1)/(3x + 2) - (1 - x)/(6x² + 7x - 2) = 7/20
Detailed steps :
- Factoring denominators
- Finding Least Common Denominator (LCD)
- Multiplying through by LCD or making each term have LCD
- Solving resulting linear or quadratic equation
The Guide also covers the addition and subtraction of rational expressions such as
3/(x + 1) + 2x/(x² - 6x - 7)
and the multiplication and division of rational expressions such as
(x² - 1)/(9x² - 1) * (6x + 2)/(3x² - 3x).
Rational expression Practice and Coaching Calculators take you step-by-step through the simplification of expressions such as :
(6x³ + 7x² - 1)/(2x² + 3x + 1)
(x² + 6x + 8)/(x + 2)
(x² - 5x + 6)/(14 + 3x - 5x²)
(3x - 9)/(6x - 12)
Detailed steps :
- Factoring out numeric or algebraic factors
- Factoring linear numerators/denominators
- Factoring quadratic numerators/denominators
- Factoring cubic numerators/denominators
- Dividing out or canceling common factors
Rational equation Practice takes you step-by-step through the solving of equations such as :
(5x + 3)/4 + (1 + 3x)/5 = 4/5
2/(3x²) + 5/x = 3/(4x)
1/(3x + 6) - 3/(5x² + 8x - 4) = -5/(15x - 6)
(2x - 1)/(3x + 2) - (1 - x)/(6x² + 7x - 2) = 7/20
Detailed steps :
- Factoring denominators
- Finding Least Common Denominator (LCD)
- Multiplying through by LCD or making each term have LCD
- Solving resulting linear or quadratic equation
The Guide also covers the addition and subtraction of rational expressions such as
3/(x + 1) + 2x/(x² - 6x - 7)
and the multiplication and division of rational expressions such as
(x² - 1)/(9x² - 1) * (6x + 2)/(3x² - 3x).
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最新バージョン 8.6 の更新情報
Last updated on 2024年04月09日
旧バージョン
This version contains minor bug fixes.
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Version History
8.6
2024年04月09日
This version contains minor bug fixes.
8.5
2024年03月31日
Rational expressions with cubic, quadratic, linear polynomials ... all clearly explained.
8.4
2022年12月11日
This version has minor bug fixes.
8.3
2022年09月06日
This version contains minor bug fixes and enhancements.
8.2
2021年11月05日
iOS 15 compatibility and user interface improvements. Minor bug fixes.
8.1
2021年09月03日
New cross multiplication practice. Minor bug fixes.
8.0
2021年08月24日
Minor bug fixes in rational equation module.
7.9
2021年08月21日
Major revision includes practice modules for rational equations.
7.8
2020年01月23日
Minor bug fixes and enhancements.
7.7
2020年01月15日
Minor bug fixes and app streamlining. Secondary modules are moving to free apps for you to GET if you wish.
7.6
2019年09月25日
iOS 13 and iPadOS compatibility.
7.5
2019年01月19日
Minor bug fixes.
7.4
2018年12月18日
Major release with new guides, practice modules and coaching calculators.
7.3
2018年09月17日
Practice module has graded worked examples for rapid learning. iOS 12 compatibility.
7.2
2018年09月01日
Cubic expression support with entry in ascending or descending order. Detailed explanations of each step.
7.1
2017年11月17日
iOS 11 and iPhone X compatibility and minor bug fixes.
7.0
2016年09月18日
iOS 10 compatibility and bug fixes.
6.1
2015年09月26日
iOS 9 compatibility and bug fixes.
6.0
2015年03月12日
Improved Guides for iPhone 6 and iPhone 6 Plus and minor bug fixes.
5.0
2013年09月26日
iOS 7 version.
4.2
2013年02月26日
iPhone 5 optimization and minor improvements.
4.1
2012年09月26日
iOS 6 and iPhone 5 compatibility.
4.0
2012年07月03日
New quadratic factoring modules and new compact design..
3.0
2011年10月18日
Major revision that features a powerful Coaching Calculator. Numerators and denominators can be quadratic, linear, constant or zero polynomials.
2.2
2011年01月08日
Minor bug fixes.
20/20 Rational Expressions 価格
今日:
¥100
最低価格:
¥100
最高価格:
¥160
20/20 Rational Expressions FAQ
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iPhone
iOS 16.0以降が必要です。
iPad
iPadOS 16.0以降が必要です。
20/20 Rational Expressionsは次の言語がサポートされています。 英語