SOLVING 1 VARIABLE IN TERMS OF THE OTHER (4th) FOURTH QUARTER GRADE 7 MATATAG TAGALOG MATH TUTORIAL

0:02 [Musika] Hello everyone Welcome to mat eip Where we make matth easier to understand with our free Tagalog tutorials if you're new here subscribe para po updated ka sa ating lessons to my fellow teachers We also offer our editable PowerPoint presentations to save you time in lesson preparation Check the links below and message us on Facebook All right Let's get start our lesson for today is all about solving one variable in terms of the other variable ang atin pong objectives is to solve one variable in terms of the other variable in a formula okay to start with let's first have this real life application of our topic for today

0:48 Okay let me read the problem a car travels 150 km at a speed of 50 km per hour How long did it take Okay so this is all about speed okay and remember speed is equal to Uh distance over time Okay kaya po ito 50 km per h yun po yung kanyang speed however Here it says the car travels a distance of 150 km and we have a formula for the distance the formula is d e r Tim t Okay again d is the distance which is 150 km and then we have here the R Ito po yung speed Okay rate is ah itong speed po is a special

1:34 kind of rate So this can be Uh denoted as R okay or the rate of the car and then we have here the time now ang tinatanong dito is how long did it take so we are dealing with the time however in our formula This is a formula para makuha natin yung distance now ang kailangan nating makuha dito is yung time So ano po ang gagawin natin if we know the distance and speed how can we find time how can we express one variable in terms of the others Ito po yung pag-aaralan natin ngayon So paano tayo gagawa ng formula basing From Another formula Well in this case Paano tayo Paano natin malalaman yung formula

2:21 ng time kung ang Meron lang dito is ung formula ng distance okay okay before before we start dapat malaman niyo muna kung anong tawag natin sa mga ganitong formula and Bakit ba ito kasama sa ating lesson on algebra Okay well This is Actually an equation since we have here an equal sign ang tawag po natin sa mga ganitong equation ay literal equation All right so literal equation is an equation that contains two or more variables So if you notice in our equation here d is equ r * t or d is equ rt Ilan po ba yyung variables na nandito Okay correct there are three variables we have d r and t Okay ganito

3:09 po usually iyung mga formulas na ginagamit natin hindi lang sa Math We also use these formulas in other subjects like science non kaya may mga formulas po tayo like this for example we have here the area of a triangle area is equal to 1/2 base times height Ano pa po We also have here volume at Anong volume po ito okay This is a volume of a rectangular prism Okay volume is equal to length Tim wid times height Ano pa po the perimeter of a rectangle Okay we have here p equ 2l + 2w Ano pa po We also have here interest Okay interest rate is equal to p principal amount

3:54 times the rate times the time and We also have here circumference of a circ c e pi * D Ano po yung D dito This is the diameter Okay marami pa pong mga formulas na considered as literal equations however in our lesson for today we will only focus on this formulas as our examples Okay proceed na po tayo sa mga examples on solving one variable in terms of other variable Okay so we have here example number one solve for the time using the distance formula d is equ r * t or rt This is the distance formula for the speed of a car for example so ang hinahanap natin is yung time Okay Paano natin malalaman yung formula ng

4:41 time so in our solution let's write first yung formula natin original formula is D or the distance is equal to r * t now we will be using division property of equality kasi ang hanap natin dito is ung t or ung time kailangan nating malaman ung value ng time i-is olate natin ung variable t on one side of the equation preferably on the dito po sa left side so tatanggalin natin yung kasama niya which is R by division property of equality so we will divide this by R para po ma-cancel out yyan at ang maiwan lang is yyung t since

5:28 nag-divorce / R ngayon gusto nating ipunta si t doon sa left side so we will be using the symmetric property of equality therefore our formula now is t is equ D / R Okay so ito na po yyung ating final answer meaning if we are going to Uh solve for the time we will now be using this formula Okay example number two we have here solve for H in the literal equation V is equ to length Tim wid times height Ito po yung volume ng ating rectangular prism so ang hinahanap natin dito is yung value ng h meaning We will be rearranging the formula here para makuha

6:14 natin yyung formula ng height Okay so let's go to the solution write first the formula V is equ to length TIM wid TIM height now we will be solving for H in terms of V Okay so we will be using division property of equality kasi gusto nating i-is olate si h matatanggal si L tsaka si w dito by dividing them both Side by length and width Okay dalawa po so tanggal si length matatanggal din si wid on the other side of the equation Ganon din po magdivide tayo ng length and width therefore On This side magiging h na lang po yung matitira sa right side and then sa left side we now Have V or the vol div by length Tim

7:01 width now para mailipat natin si h sa left side We will now be using the symmetric property now we will have h equ V / L Tim w ito na po yung magiging formula natin in solving for the height Okay example number 3 we have here solve for the height H in the formula of the area of a triangle Okay so we have the formula for a triangle a is equal to 1/2 base times height ang kailangan nating makuha is yung h Ano kaya ang magiging formula for this Meron na po tayong fraction Okay so let's Uh proceed to the solution so we have here a is equ 1/2 B * H We will be using

7:46 Multiplication property of equality para matanggal po si 1/2 Okay remember ang kailangan lang natin dito sa isang side is yung h pati po si B matatanggal din Mamaya so we will be multiplying ah a whole number two ah in both side sa left side tsaka sa right side para po ma-cancel natin Iyung 1/2 na fraction remember if you multiply 1/2 by 2 ang magiging sagot diyan is 1 Okay so therefore We will have 1 bh no 1 bh 2a E 1 bh 2 * a is 2a o naman Natanggal na po yung 1/2 ang naiwan na lang is bh hindi na po natin kailangang isulat at yung 1 dito Now since meron pang kasamang bch

8:34 dito kailangan nating tanggalin yan using the division property of equality So ano pong idivide natin Okay i-divide natin siya by b Okay so b div b this will now Be cancelled out kasi magiging 1 na po siya Okay so 1h hindi na natin kailangang isulat yung 1 next 2a / B po dito sa left side Okay using metc property Pwede na nating baliktarin h equ 2a / b ito na po yung formula in getting the height of the triangle basing from our original formula okay for our last example we have here solve for l in the literal equation p equ 2l + 2w ano po ulit

9:23 formula ito this is the formula in getting the perimeter of a rectangle Okay so 2 length Plus 2 times wid lang po ito so in our solution let's write the formula now Our goal is to look for the formula of l no Iyung length Okay basing from our original formula or equation Let us remove 2w para ang maiwan lang po dito is si 2l Okay tatanggalin muna natin yung kasama niyang terms we have here 2w by subtraction property of equality Okay so paano Ah 2w - 2w okay we subtract itself para po maging zero pag ginawa natin yan on the right side gagawin din po natin

10:08 sa left side okay that's why we have here p- 2w as well so [Musika] maka-connect siya using the division property so idi-discuss

10:59 formula ito na po yung final answer natin Pero may option po tayo we can Actually simplify this further no Paano po remember this is Uh numerator Meron po tayong subtraction sign ibig sabihin we can separate them P / 2 - 2w / 2 Ito po yyung common denominator niya which is 2 ung ating numerator na p no pwede nating ihiwalay sa 2w okay at ang magiging Denominator nila Same lang po Okay so in this case Bakit po natin pinaghiwalay kasi pwede nating tanggalin Iyung two dito 2 / 2 magiging 1 na po yan so magiging 1 W or Just write w huwag pong ilalagay yung one so magiging

11:46 l qu p / 2 - w pwedeng Ito po yung ating final answer okay okay to practice we can have this activity apat na items lang po ito solve for the indicated variable in each formula show your solution clearly indicate What property of equality is being used Okay so meron po tayong four items I'll give you time to do this you can pause this video and then i-play niyo na lang po pagkatapos niyo pong masagutan and then we will compare with the correct answer Okay I believe you are now ready to check your answers papakita ko na po yung mga tamang sagot including the

12:33 solutions and the properties used ito na po siya I hope nakuha niyo po lahat ng tamang sagot yan pwede niyo pong i-check kung hindi naman po pwede niyong balikan yung mga previous examples natin para po mas ma-practice niyo ang mga ito Okay so before we end the lesson Let's just go back to our original question kanina Ito po yung problem natin kanina a car travels 150 kilometers at a speed of 50 km per h How long did it take Okay so yung atin pong formula from the original d equ rt nakuha po natin yung formula ng time which is D / R it po yung gagamitin nating formula para ma-solve po yung ating actual problem Okay so we have

13:21 solved T in terms of the the formula d equ r * t ngayon magsa-submit Okay so using this formula t equ d / r yung nasagot po ito natin kanina sa number one ha now yung ating given is 150 km Iyung distance We will substitute it here and then we have 50 km per hour Ito po yyung speed or yyung ating rate Okay isa-substitute po natin sa R therefore hour time is equal to 150 / 50t so ang ating sagot t is equ to 3 Okay This is now our final answer it takes the car 3 hours to achieve or to meet the 150 km distance Okay so Ito po

14:11 yyung application ng ating lesson ngayon In Our next lesson magkakaroon po tayo ng problem solvings kagaya niyan We will have more problems involving literal equation so I hope to see you again on the next video God bless and Byebye kung meron kang natutunan sa video na ito please click the subscribe button to support this channel para mas matulungan ulit kita sa mga susunod mo pang ma lessons Lagi mong tatandaan ang ma ay para sa lahat at ako si Teacher van nagsasabing dito sa mat isip lamang ang nagiisip God bless and see you on the next video bye bye