Mathematics - International - 0607 CIE

Equations

Bayani Gaba-gaba

An equation says that two expressions are equal, and solving one means finding the value of the unknown that makes the statement true. From a single linear equation to a pair of simultaneous equations to a quadratic, the same balancing idea runs through them all: whatever you do to one side, you do to the other.

In this lesson you will construct and solve linear equations, solve simultaneous equations, and change the subject of a formula. You will also learn how a graphic display calculator solves equations directly, including ones too awkward to rearrange by hand, and at Extended level how to solve fractional and quadratic equations.

Manufura

  1. Construct simple expressions, equations and formulas.
  2. Solve linear equations in one unknown.
  3. Solve simultaneous linear equations in two unknowns.
  4. Use a graphic display calculator to solve equations, including those which may be unfamiliar.
  5. Change the subject of simple formulas.
  6. Construct expressions, equations and formulas. (Extended only)
  7. Solve fractional equations with numerical and linear algebraic denominators. (Extended only)
  8. Solve quadratic equations by factorisation, using a graphic display calculator and by use of the quadratic formula. (Extended only)
  9. Change the subject of formulas. (Extended only)

Darasin Sauti

Saurari wannan darasi a cikin manhaja

Taswirar tunani

An zana wannan batu don ka ga yadda ra'ayoyi ke hadewa.

Bude taswirar tunani a cikin manhaja

Katunan tunawa

Gwaji mai sauri kan abin da ake jarraba a wannan batu.

Yi atisayen wadannan katuna a cikin manhaja

Takardar Darasi

Equations are how mathematics answers the question what value makes this true. Pricing, mixing, timing, balancing a budget and modelling motion all come down to setting up an equation and solving it. The skills here, balancing, substituting and rearranging, are among the most reused in the whole syllabus and in every science that follows.

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Nazarin Darasi

Barka da kammala darasi akan Equations. Yanzu da kuka bincika mahimman ra'ayoyi da ra'ayoyi, lokaci yayi da zaku gwada ilimin ku. Wannan sashe yana ba da ayyuka iri-iri Tambayoyin da aka tsara don ƙarfafa fahimtar ku da kuma taimaka muku auna fahimtar ku game da kayan.

Za ka gamu da haɗe-haɗen nau'ikan tambayoyi, ciki har da tambayoyin zaɓi da yawa, tambayoyin gajeren amsa, da tambayoyin rubutu. Kowace tambaya an ƙirƙira ta da kyau don auna fannoni daban-daban na iliminka da ƙwarewar tunani mai zurfi.

Yi wannan ɓangaren na kimantawa a matsayin wata dama don ƙarfafa fahimtarka kan batun kuma don gano duk wani yanki da kake buƙatar ƙarin karatu. Kada ka yanke ƙauna da duk wani ƙalubale da ka fuskanta; maimakon haka, ka kallesu a matsayin damar haɓaka da ingantawa.

  1. Solve 3x + 5 = 20. A. x = 3 B. x = 5 C. x = 8 D. x = 15 Answer: B
  2. Solve the simultaneous equations 2x + y = 11 and x - y = 1. What is x? A. 3 B. 4 C. 5 D. 7 Answer: B
  3. Make r the subject of C = 2(pi)r. A. r = C/(2 pi) B. r = 2 pi C C. r = C - 2 pi D. r = (2 pi)/C Answer: A
  4. Solve x^2 - 5x + 6 = 0. A. x = 1 or x = 6 B. x = 2 or x = 3 C. x = -2 or x = -3 D. x = 5 or x = 6 Answer: B
  5. On a graphic display calculator, a solution of an equation rearranged to f(x) = 0 is found as a: A. maximum of f(x) B. y-intercept of f(x) C. zero of f(x) D. gradient of f(x) Answer: C

Yi aikin wadannan tambayoyi a cikin manhaja

Yi aikin wadannan tambayoyi a cikin manhaja

Littattafan da ake ba da shawarar karantawa

Cambridge IGCSE Mathematics Core and Extended Coursebook
Cambridge IGCSE Mathematics Core and Extended Coursebook
Sunaƙa: Second edition
Mai wallafa: Cambridge University Press
Shekara: 2018
ISBN: 978-1-108-43718-9
Bayanan bayanin.: Endorsed coursebook with full coverage of the 0580/0980 syllabus, worked examples and practice exercises.
Cambridge IGCSE Core and Extended Mathematics
Cambridge IGCSE Core and Extended Mathematics
Sunaƙa: Fifth edition
Mai wallafa: Hodder Education
Shekara: 2023
ISBN: 978-1-398-37391-4
Bayanan bayanin.: Endorsed textbook with worked examples and graded questions across Core and Extended content.

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Wasu ƙungiyoyi ne suka wallafa su ƙarƙashin lasisin buɗe, kuma muna ambaton su yadda suka nema. Hanyoyin suna buɗe shafukansu.

Yi Aikin Tambayoyin Gwaji

Kana son yin aikin tambayoyin gwaji kan Equations? Sauke manhajar Green Bridge CBT don samun tambayoyin gwaji da cikakkun jarrabawa akan wannan batu.

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