Yuav Lej Li Cas Algebraic Expressions: 5 Kauj Ruam (nrog Duab)

2024 Tus sau: Jason Gerald | [email protected]. Kawg hloov kho: 2024-01-15 08:16

Tawm tsam nrog algebra? Tsis paub meej txog lub ntsiab lus tseeb ntawm qhov kev qhia? Qhov no yuav yog thawj zaug koj tau hla cov tsiaj ntawv tsis raug ntawm cov tsiaj ntawv pom hauv koj cov teeb meem lej. Tsis paub yuav ua dab tsi? Yog lawm, nov yog phau ntawv qhia rau koj.

Kauj ruam

Kauj Ruam 1. Nkag siab lub ntsiab lus ntawm qhov sib txawv

Cov tsiaj ntawv tsis zoo uas koj pom hauv koj cov teeb meem lej yog hu ua qhov hloov pauv. Txhua qhov sib txawv nruab nrab tus lej koj tsis paub.

Piv txwv: Hauv 2 x + 6 po, x kev yog qhov txawv txav.

Kauj Ruam 2. Nkag siab lub ntsiab lus ntawm kab zauv zauv zauv

Kev piav qhia algebraic yog sau cov lej thiab cov lej sib xyaw ua ke nrog kev ua lej (ntxiv, sib ntxiv, nthuav tawm, thiab lwm yam). Nov yog qee qhov piv txwv:

• 2 x + 3 tau yog kev qhia. Qhov kev qhia no yog tsim los ntawm kev ntxiv cov khoom ntawm

  Kauj ruam 2. thiab x kev nrog qhov sib npaug

  Kauj ruam 3. thiab y.

• 2x ua nws tus kheej kuj yog kev qhia tawm. Qhov kev qhia no yog tus lej

  Kauj ruam 2. thiab ib qho txawv txav x kev ua ke nrog kev ua lej ntawm kev ua lej.

Kauj Ruam 3. Nkag siab lub ntsiab lus ntawm laij lej lej

Xam ib qho kev piav qhia algebraic txhais tau tias nkag mus rau tus lej muab rau qhov sib txawv lossis hloov qee qhov sib txawv nrog tus lej muab.

Piv txwv li, yog tias koj raug nug kom xam 2x + 6 nrog x = 3, txhua yam koj yuav tsum ua yog - rov sau cov lus los ntawm kev hloov tag nrho x nrog 3. 2(3) + 6.

• Daws qhov kawg koj tau:

  2(3) + 6

  = 2×3 + 6

  = 6 + 6

  = 12

  Yog li, 2x + 6 = 12 thaum x = 3

Kauj Ruam 4. Sim laij cov kab lus uas muaj ntau dua ib qho sib txawv

Qhov no yog xam raws tib txoj hauv kev raws li kev suav cov lej algebraic uas muaj tsuas yog ib qho sib txawv; Koj tsuas yog ua cov txheej txheem ntau dua ib zaug.

Piv txwv tias koj raug hais kom xam 4x + 3y nrog x = 2, y = 6

• Hloov x nrog 2: 4 (2) + 3y
• Hloov y nrog 6: 4 (2) + 3 (6)

• Ua tiav:

  4×2 + 3×6

  = 8 + 18

  = 26

  Yog li, 4x + 3y = 26 qhov twg x = 2 thiab y = 6

Kauj Ruam 5. Sim laij cov lus qhia rau lub zog ntawm

Npe 7x² -12x + 13 qhov x = 4

• Ntxig 4 rau: 7 (4)² - 12(4) + 13

• Ua raws li koj qhov kev xaj ua haujlwm: K3BJK (Square Brackets Faib Los Tsawg). Txij li kev daws teeb meem los ua ntej sib npaug, square 4 ua ntej ua koj qhov sib npaug lossis faib, thiab tom qab ntawd ntxiv lossis rho tawm.

  Yog li, daws qhov piav qhia muab, (4)² = 16.

  Cov kauj ruam no yuav rov qhia tawm 7 (16) - 12 (4) + 13

• Muab faib los yog faib:

  7×16 - 12×4 + 13

  = 112 - 48 + 13

• Ntxiv lossis rho tawm:

  112 - 48 + 13

  = 77

  Yog, 7x² 12x + 13 = 77 qhov x = 4