Expressions And Formulae
Gbogbo ọrọ náà
Expressions and formulae are the building blocks of algebra. An expression uses letters and numbers to represent a calculation, while a formula links variables with an equals sign to model real-world relationships such as area, speed or cost. Mastering these ideas lets you translate word problems into compact symbolic statements that can be evaluated, simplified or solved.
In this topic you will learn how letters stand for unknowns and variables, how to write algebraic expressions using correct notation, how to substitute values (including negatives, decimals and fractions) into expressions and formulae, and how to rearrange a formula to make a different variable the subject.
Ebumnobi
- Understand that a letter may represent an unknown number or a variable
- Use correct notational conventions for algebraic expressions and formulae
- Substitute positive and negative integers, decimals and fractions for words and letters in expressions and formulae
- Use formulae from mathematics and other real-life contexts expressed initially in words or diagrammatic form and convert to letters and symbols
- Derive a formula or expression
- Change the subject of a formula where the subject appears once
- [Higher] Understand the process of manipulating formulae or equations to change the subject, to include cases where the subject may appear twice or a power of the subject occurs
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Ekele diri gi maka imecha ihe karịrị na Expressions And Formulae. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.
Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.
Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.
- Which of the following is the correct way to write '3 multiplied by x' in algebraic notation? A) 3 * x B) 3x C) x3 D) 3.x Answer: B
- What is the value of 2a squared minus b when a = 3 and b = 4? A) 14 B) 32 C) 8 D) 2 Answer: A
- In the formula v = u + at, what is the subject? A) u B) a C) t D) v Answer: D
- A letter in a formula that can take many different values is called what? A) A constant B) An unknown C) A variable D) A coefficient Answer: C
- If C = 2n + 5, what is C when n = -3? A) 11 B) -1 C) 1 D) -11 Answer: B
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Subtract Integers
Model subtraction of integers
"Prealgebra: Subtract Integers" 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/3-3-subtract-integers. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Expressions And Formulae? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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