Equations And Inequalities
Gbogbo ọrọ náà
Working out a break-even point, finding where two delivery charge plans cost the same, or deciding which range of values keeps a design within safety limits: all of these are equations or inequalities in disguise. Solving them accurately, and knowing which method fits which situation, is one of the most tested skills across the whole 4MB1 paper.
This topic covers solving equations of degree 1, 2 and 3 in one unknown, pairs of simultaneous equations (including a linear equation paired with a quadratic), and linear and quadratic inequalities, represented on a number line and, for two variables, as a region.
Ebumnobi
- Solve equations of 1st, 2nd and 3rd degree containing one unknown quantity, including quadratics by factorisation, graph, completing the square or formula
- Solve linear simultaneous equations in two unknowns
- Solve simultaneous equations in two unknowns where one equation is linear and the other is quadratic
- Solve linear inequalities and represent solutions on the number line and in two-dimensional space
- Solve quadratic inequalities in one unknown and represent the solution set on a number line
Akọmọ Ojú-ẹkọ
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ayẹwo Ẹkọ
Ekele diri gi maka imecha ihe karịrị na Equations And Inequalities. 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 method always works for solving any quadratic equation, even when it does not factorise? A) Trial and improvement only B) The quadratic formula C) Collecting like terms D) Cross-multiplication Answer: B
- Solve x + 3 > 9. A) x > 6 B) x > 12 C) x < 6 D) x < 12 Answer: A
- What happens to an inequality sign when both sides are divided by a negative number? A) Nothing changes B) It reverses direction C) It becomes an equals sign D) It becomes strict Answer: B
- The roots of x^2 - 5x + 6 = 0 are 2 and 3. What is the solution to x^2 - 5x + 6 < 0? A) x < 2 or x > 3 B) 2 < x < 3 C) x < 2 D) x > 3 Answer: B
- To solve simultaneous equations where one is linear and one is quadratic, which method is used? A) Elimination only B) Substitution C) Completing the square on both D) Adding the equations directly Answer: B
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Ọ dị na ngwa Green Bridge
Budata ngwa Green Bridge CBT na ekwentị maọbụ kọmputa gị iji nweta akwụkwọ ndụmọdụ zuru oke, ajụjụ mmụta, na ndị ọzọ.
Àwọn Ìwé Tó Dáa Láti Kà
Meecha Ajụjụ Ule Ọmarịcha
Ị chọrọ ime ajụjụ ule ọmarịcha gbasara Equations And Inequalities? Budata ngwa Green Bridge CBT iji nweta ajụjụ ule ọmarịcha na nyocha zuru ezu gbasara isiokwu a.
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