Mathematics Specification A - 4MA1 PearsonEdexcel

Linear Equations

Gbogbo ọrọ náà

A linear equation is an equation in which the highest power of the unknown is 1. Solving a linear equation means finding the value of the unknown that makes both sides equal. This skill runs through almost every area of the Edexcel IGCSE specification: from number problems and geometry to statistics and probability, you will regularly need to form and solve linear equations.

This lesson builds from single-step equations through to multi-step problems involving brackets and fractions. You will also practise translating word problems into equations, a skill that Edexcel tests frequently on both papers.

Ebumnobi

  1. Solve linear equations, with integer or fractional coefficients, in one unknown in which the unknown appears on either side or both sides of the equation
  2. Set up simple linear equations from given data

Maapụ uche

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Akwụkwọ Ọmụmụ

Imagine you buy some identical notebooks and pay a total of \(\pounds 12\). If each notebook costs \(\pounds 3\), how many did you buy? You are already solving the equation \(3x = 12\). A linear equation always has an unknown raised to the power of 1 and its graph is a straight line, but right now the focus is on finding the value that balances both sides.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Linear Equations. 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.

  1. Solve 5x + 3 = 28. A) 4 B) 5 C) 6 D) 7 Answer: B
  2. Solve 3(x - 2) = 15. A) 3 B) 5 C) 7 D) 9 Answer: C
  3. Which equation has the solution x = 4? A) 2x + 1 = 7 B) 3x - 2 = 10 C) x/2 + 3 = 7 D) 5x = 25 Answer: B
  4. Solve (x + 6)/3 = 5. A) 3 B) 7 C) 9 D) 11 Answer: C
  5. Two identical books and a 3 pound postage fee cost 19 pounds. What is the cost of one book? A) 6 pounds B) 7 pounds C) 8 pounds D) 9 pounds Answer: C

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Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Linear Equations? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.

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