Use Of Symbols
Muhtasari
Algebra begins with a simple but powerful idea: a letter can stand in for a number you do not yet know, or for a quantity that can change. Once you accept that convention, every rule of arithmetic you already know transfers directly to algebraic expressions, letting you describe patterns, build formulae and solve equations.
This topic establishes the language you will use throughout the rest of the course. You will learn how expressions, equations, formulae and identities differ, how to read and write index notation, and how to apply the index laws to simplify expressions efficiently. Higher tier students extend these ideas to fractional and negative indices.
Malengo
- Understand that symbols may be used to represent numbers in equations or variables in expressions and formulae
- Understand that algebraic expressions follow the generalised rules of arithmetic
- Use index notation for positive and negative integer powers (including zero)
- Use index laws in simple cases
- [Higher] Use index notation involving fractional, negative and zero powers
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- Which of the following is an equation? A) 3x + 5y B) A = l x w C) 2x + 1 = 9 D) 2(x + 3) = 2x + 6 for all x Answer: C
- Simplify x^4 x x^3. A) x^7 B) x^12 C) x^1 D) 2x^7 Answer: A
- What is the value of any non-zero number raised to the power 0? A) 0 B) 1 C) The number itself D) Undefined Answer: B
- Simplify 6a^2 b x 4ab^3. A) 24a^3 b^4 B) 10a^3 b^4 C) 24a^2 b^3 D) 24a^3 b^3 Answer: A
- Which expression is equivalent to x^(-2)? A) -x^2 B) -2x C) 1/x^2 D) x/2 Answer: C
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Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
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Sehemu ya kitabu
Use the Language of Algebra
Use variables and algebraic symbols
"Elementary Algebra: Use the Language of Algebra" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/elementary-algebra/pages/1-2-use-the-language-of-algebra. Access for free at https://openstax.org/books/elementary-algebra/pages/1-introduction
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Sehemu ya kitabu
Integer Exponents and Scientific Notation
Use the definition of a negative exponent
"Prealgebra: Integer Exponents and Scientific Notation" 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/10-5-integer-exponents-and-scientific-notation. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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