Algebraic Manipulation
Muhtasari
Algebraic manipulation is the housekeeping of algebra: tidying expressions so they are as simple as possible. Collecting like terms, expanding brackets and factorising are the three core moves, and almost every later technique relies on doing them quickly and accurately.
In this lesson you will simplify expressions by collecting like terms, expand products of brackets, and factorise by taking out common factors. These skills are the toolkit for solving equations and working with formulas.
Malengo
- Simplify expressions by collecting like terms.
- Expand products of algebraic expressions.
- Factorise by extracting common factors.
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- Simplify 3x + 2y + 5x - y. A. 8x + y B. 8x + 3y C. 9xy D. 8x - y Answer: A
- Expand 3(x + 4). A. 3x + 4 B. 3x + 12 C. x + 12 D. 3x + 7 Answer: B
- Expand (x + 2)(x + 3). A. x^2 + 6 B. x^2 + 5x + 6 C. x^2 + 5x D. 2x + 5 Answer: B
- Factorise 6x + 9. A. 3(2x + 3) B. 6(x + 9) C. 3(2x + 9) D. 2(3x + 9) Answer: A
- Factorise x^2 + 5x. A. x(x + 5) B. 5x(x + 1) C. x^2(5) D. (x + 5) Answer: A
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Evaluate, Simplify, and Translate Expressions
Evaluate algebraic expressions
"Prealgebra: Evaluate, Simplify, and Translate Expressions" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/2-2-evaluate-simplify-and-translate-expressions. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Sehemu ya kitabu
Greatest Common Factor and Factor by Grouping
Find the greatest common factor of two or more expressions
"Intermediate Algebra: Greatest Common Factor and Factor by Grouping" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/intermediate-algebra/pages/6-1-greatest-common-factor-and-factor-by-grouping. Access for free at https://openstax.org/books/intermediate-algebra/pages/1-introduction
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