Mathematics - 0580 CIE

Equations

Gbogbo ọrọ náà

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.)

Ebumnobi

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)

Akọmọ Ojú-ẹkọ

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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Ayẹwo Ẹkọ

Ekele diri gi maka imecha ihe karịrị na 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.

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