Mathematics - 0580 CIE

Equations

Bayani Gaba-gaba

An equation is a statement that two things are equal, and solving one means finding the value (or values) that make it true. From a single linear equation to a pair of simultaneous equations, the skill of keeping an equation balanced is one of the most powerful in mathematics.

In this lesson you will construct and solve linear equations, solve a pair of simultaneous linear equations, and change the subject of a formula. (At Extended these skills extend to fractional, simultaneous non-linear and quadratic equations.)

Manufura

Construct simple expressions, equations and formulas.
Solve linear equations in one unknown.
Solve simultaneous linear equations in two unknowns.
Change the subject of simple formulas.
Construct expressions, equations and formulas. (Extended only)
Solve fractional equations with numerical and linear algebraic denominators. (Extended only)
Solve simultaneous equations, involving one linear and one non-linear. (Extended only)
Solve quadratic equations by factorisation, completing the square and by use of the quadratic formula. (Extended only)
Change the subject of formulas. (Extended only)

Takardar Darasi

Equations turn a worded problem into something you can solve exactly. The balance method you learn here is the engine behind almost every problem-solving question in the course.

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Nazarin Darasi

Barka da kammala darasi akan Equations. Yanzu da kuka bincika mahimman raayoyi da raayoyi, 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.

Solve 3x + 5 = 20. A. x = 3 B. x = 5 C. x = 8 D. x = 15 Answer: B
Solve 2(x - 3) = 10. A. x = 2 B. x = 5 C. x = 8 D. x = 11 Answer: C
Solve the simultaneous equations x + y = 7 and x - y = 1. What is x? A. 3 B. 4 C. 6 D. 8 Answer: B
Make a the subject of v = u + at. A. a = v - u - t B. a = (v - u)/t C. a = v - u/t D. a = (u - v)/t Answer: B
Solve 5x - 4 = 11. A. x = 1.4 B. x = 3 C. x = 7 D. x = 15 Answer: B