Equations
Muhtasari
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.
Malengo
- Construct simple expressions, equations and formulas.
- Solve linear equations in one unknown.
- Solve simultaneous linear equations in two unknowns.
- Use a graphic display calculator to solve equations, including those which may be unfamiliar.
- 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 quadratic equations by factorisation, using a graphic display calculator and by use of the quadratic formula. (Extended only)
- Change the subject of formulas. (Extended only)
Somo la Sauti
Sikiliza somo hili kwenye programu
Ramani ya mawazo
Mada hii imechorwa ili uone jinsi mawazo yanavyounganika.
Fungua ramani ya mawazo kwenye programu
Kadi za kumbukumbu
Mazoezi ya haraka ya kumbukumbu kuhusu kinachopimwa katika mada hii.
Fanya mazoezi ya kadi hizi kwenye programu
Maelezo ya Somo
Dokezo Kamili la Somo Linapatikana kwenye Programu ya Green Bridge
Pata programu ya Green Bridge CBT kwenye simu au kompyuta yako kwa maktaba kamili ya IGCSE: mitihani ya miaka iliyopita, miongozo ya usahihishaji, ramani za mawazo, kadi za marudio na masomo ya sauti.
Tathmini ya Somo
Hongera kwa kukamilisha somo la Equations. Sasa kwa kuwa umechunguza dhana na mawazo muhimu, ni wakati wa kuweka ujuzi wako kwa mtihani. Sehemu hii inatoa mazoezi mbalimbali maswali yaliyoundwa ili kuimarisha uelewaji wako na kukusaidia kupima ufahamu wako wa nyenzo.
Utakutana na mchanganyiko wa aina mbalimbali za maswali, ikiwemo maswali ya kuchagua jibu sahihi, maswali ya majibu mafupi, na maswali ya insha. Kila swali limebuniwa kwa umakini ili kupima vipengele tofauti vya maarifa yako na ujuzi wa kufikiri kwa makini.
Tumia sehemu hii ya tathmini kama fursa ya kuimarisha uelewa wako wa mada na kubaini maeneo yoyote ambapo unaweza kuhitaji kusoma zaidi. Usikatishwe tamaa na changamoto zozote utakazokutana nazo; badala yake, zitazame kama fursa za kukua na kuboresha.
- Solve 3x + 5 = 20. A. x = 3 B. x = 5 C. x = 8 D. x = 15 Answer: B
- Solve the simultaneous equations 2x + y = 11 and x - y = 1. What is x? A. 3 B. 4 C. 5 D. 7 Answer: B
- 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
- 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
- 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
Fanyia kazi maswali haya kwenye programu
Fanyia kazi maswali haya kwenye programu
Vitabu Vinavyopendekezwa
Jifunze zaidi kutoka vyanzo huria
-
Sehemu ya kitabu
Linear Equations in One Variable
Solve equations in one variable algebraically.
"Algebra and Trigonometry: Linear Equations in One Variable" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/2-2-linear-equations-in-one-variable. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
-
Sehemu ya kitabu
Quadratic Equations
Solve quadratic equations by factoring.
"Algebra and Trigonometry: Quadratic Equations" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/algebra-and-trigonometry/pages/2-5-quadratic-equations. Access for free at https://openstax.org/books/algebra-and-trigonometry/pages/1-introduction
Vimechapishwa na mashirika mengine chini ya leseni huria na vinatajwa kama wanavyoomba. Viungo hufungua tovuti zao.
Fanya Mazoezi ya Maswali ya Majaribio
Ungependa kufanya mazoezi ya maswali ya majaribio kuhusu Equations? Pakua programu ya Green Bridge CBT ili kupata maswali ya majaribio na tathmini kamili za mazoezi kuhusu mada hii.
Pakua Programu Kwenye Google Playstore
Kila kitu unachohitaji ili kufaulu katika JAMB, WAEC & NECO.
