Gen Math PTASK

help me reach home

Start

Qiz

help me reach home

Gosh! It seems like the light in the lighthouse is running out! Good thing that the captain of the boat is a mechanic. He decided to go to the lighthouse and fix it. But, in great surprise there are five floors with one locked door each. In order to unlock it, he needs to solve two problems each door. Help him unlock the door and help him reach his home!

Next

Qiz

BUT FIRST

Questions in here are about functions, are you ready to solve them? But.. what is a function?

Function: -It is a relation defined as a set of ordered pairs (x,y) where no two or more distinct ordered pairs have the same first element (x). -Every value of x corresponds to a unique value of y.

Next

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Next

Qiz

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Begin

Qiz

01

Which of the following is an example of a function?

{(3,4), (4,0), (8,1), (3,3)}

{(1,2), (0,3), (1,6), (5,4)}

{(7,2), (5,0), (3,6), (9,5)}

Clue: The domain are odd numbers.

Oh no!

I think you twisted it more, the door got more locked.

Go Back

Congratulations

You got it correct! The door is almost unlocked.

How

Congratulations

(7,2), (5,0), (3,6), (9,5)} The set of ordered pairs has a different x-component each and has no negative value.

Next

01

If f(x)= 4x+3, Find f(8).

34

32

35

Clue: Solve for (5-3+2x8) + 17

Congratulations

You got it correct! The first door is now unlocked.

How

Congratulations

f(x)= 4x+3,Find f(8). =4(8)+3 =32+3 =35

Next

Oh no!

I think you twisted it more, the door got more locked.

Go Back

You surpassed the first floor!

Map

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Begin

Qiz

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Begin

Qiz

02

Which of the following equations will be used if; g(x)

5x-3, if x=3 x²-4, if x>3 3x-12, if x<3

g(x)=7

3rd

2nd

1st

Clue: The x is greater than 3.

Congratulations

You got it correct! The door is almost unlocked.

How

Congratulations

The second one is correct because it is indicated that if x is greater than 3, it is the equation to be used, and x = to 7.

Next

Oh no!

I think you twisted it more, the door got more locked.

Go Back

02

If j varies directly as z, and j=4 when z=2, find an equation for direct variation.

j=2z

2=k

j=kz

Clue: Has both the given variable and has a number embbeded.

Congratulations

Correct! The door is now unlocked.

How

Congratulations

j varies directly as z, and j=4 when z=2, we need to find k first and that is 2. j=2z.

Next

Oh no!

I think you twisted it more, the door got more locked.

Go Back

You surpassed the second floor!

Map

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Begin

Qiz

03

Given the functions f(x)= 3x-5 and g(x)= x²+2, evaluate (f o g) (2).

13

18

Clue: 6x2+1

Congratulations

You got it correct! The door is almost unlocked.

How

Congratulations

f(x)= 3x-5 and g(x)= x²+2, evaluate (f o g) (2). =(f(g)) (2) =(3(2²+2)-5 =3(6)-5 =18-5 =13

Next

Oh no!

I think you twisted it more, the door got more locked.

Next

03

Given the functions f(x)= x²-3 and g(x)= 2x²+3. Solve for f(3)+g(2).

19

17

16

Clue: Is a prime number, the 2nd digit = 20-(2+1).

Congratulations

You got it right! The door now open!

How

Congratulations

f(x)= x²-3 and g(x)= 2x²+3. f(3)+g(2)= (3²-3)+2(2)²+3 =(9-3)+(8+3) =6+11 f(3)+g(2)=17

Next

Oh no!

I think you twisted it more, the door got more locked.

Next

You surpassed the Third floor!

Map

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Begin

Qiz

04

If a varies directly as s, and a=16 when s=8, find an equation for direct variation.

a=ks

a=2s

2=k

Clue: Has both the given variable and has a number embbeded.

Congratulations

You got it correct! The door is almost unlocked.

How

Congratulations

It says here that a varies directly as s. So, a=ks, we need to solve for k and it is 2. a=2s.

Next

Oh no!

I think you twisted it more, the door got more locked.

Next

04

Given the functions h(x)= 3x+2 and g(x)= 4-5x. Find h(3) + g(4).

-5

-16

Clue: The greater negative number in the choices

Congratulations

You got it correct! The door is now unlocked.

How

Congratulations

h(x)= 3x+2 and g(x)= 4-5x. Find h(3) + g(4). = 3x+2 + 4-5x =(3(3)+2)+(4-5(4)) =(11)+(-16) =(-5)

Next

Oh no!

I think you twisted it more, the door got more locked.

Next

You surpassed the fourth floor!

Map

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Begin

Qiz

05

The price of a room hotel h, varies directly as the duration of stay t. A room costs Php 4,500 per day. How much will it cost for 7 days?

Php 30,500

Php 36,000

Php 31,500

Clue: Simply the product of two numbers.

Congratulations

You got it correct! The door is almost unlocked.

How

Congratulations

Given: h=Php 4,500 t= 1 day Equation: h=kt Php 4,500/1=k(1)/1 k=4500

Given: t= 7 day Equation: h=kt Php 4,500x7 h=Php 31,500

Next

Oh no!

I think you twisted it more, the door got more locked.

Go back

05

5 students can finish a task in 3 hours. The number of hours h varies inversely to the number of students s, how many hours can 10 students finish a task?

1.5 h

3 h

2.5 h

Clue: Simply the quotient.

Congratulations

You got it correct! You have reached the top!

How

Congratulations

Given: s= 5 students h= 3 hours h=k/s 3=k/5 k=15

Given: s= 10 students k=15 h=k/s h=15/10 h=1.5 h

Next

Oh no!

I think you twisted it more, the door got more locked.

Go Back

You surpassed the fifth floor!

Map

FLOOR PLAN

Fourth Floor

Third Floor

Fifth Floor

First Floor

Second Floor

Final

Qiz

Congratulations!

The captain has reached the top and has fixed the light. He can now reach his home safely!

Start over?