grade 9 math

Hansarang Christian Academy Zone 3 – B Sampaloc street., Signal village, Taguig City S.Y: 2016 – 2017 3rd Monthly !amination "

  Name:  _________________________  ______________________________________ __________________________ __________________________ _____________________ ________  _________________________  __________________________  _ 

Date:

Prepare !y: "anna #race C. "onrae

#art $. M%lti&le Choice Direction: 'ead each (%estion care)%lly. Choose the letter o) the correct

 _______________  _______________ a. yes

________________  ________________  !. no

c. may!e

. none o$ t%e a!ove

3. &%ic% e'uation is not an e(ample o$ a irect variation) a.

 y =

−7

3

 x + 1

5

!.

 y =

16

 x

c.

 y = 4  x

.

 y =−9  x

Directions: Write a DIRECT VARIATION equation that relates the two variables. Then solve ( !oints each" 1. suppose y varies directly as x, and y = 6 when x = 8. Find y when x = 16.

*. suppose y varies irectly as (, an y +  -%en ( + 3*. /in y -%en ( + 0.

Directions: Write an INVER#E VARIATION equation that relates the two variables. Then solve ( !oints each" 0. i$ y varies inversely as (, an y + *3 -%en ( + 1, 2n y -%en ( + 

*. i$ 4 varies irectly as (, an 4 + 35 -%en ( + 1, 2n 4 -%en ( + 

Directions: Write DIRECT #$%ARE VARIATION equation that relates the two variables.

 T%en solve solve 63 points points eac%7 0. y varies irectly as t%e s'uare o$ (. i$ y is *8 -%en ( is 3, 2n y -%en ( is *.

*. i$ y varies irectly as t%e s'uare o$ o$ (, an y + 1 -%en ( + *, -%at is t%e value o$ y -%en ( + 8)

Directions: Write &OINT VARIATION equation that relates the two variables. Then solve ( !oints each"

/or 60 an *7 i$ y varies 9ointly as ( an 4 an  is t%e constant variation. *. ; + __________< ( + *< 4 + = <  + 3

3. y + _________< ( + > < 4 + *5 <  + *8

Directions: Write CO'INED VARIATION equation that relates the two variables. Then solve ( !oints each" 1. the variable u varies direclty as the product of v and w and inversely as x. nd the equation of variation if x = 4 when u = , v = !, and w = ".

". the variable y varies direclty as x and inversely as #. if y = 1 when x =  and #  = !, nd the constant of variation.

#olve each ra)ical equation. Choose the correct answer *ro+ the bo, below. Write the letter on the blan- be*ore each nu+ber. .

 x − 12= 3 √  x

/.

 x + 3 = 7 √  x

.

√ 6  y =3

 0.

√ 3  y −5= √ 2  y + 1

1. 2 √ 4  y + 5  3 /

#i+!li*4 the *ollowin5 ra)icals ( !oints" 3

.

√ 3 3

4

/.

√ 2 + 3

√ 3

.

2 3

3 3

.5 .2

 x −9 √  x  x −√  x  x  0. 6 √  x 3

3

3