Mathematics: Math Practice Tests, Exercises of Mathematics

Mathematics: Math Practice Tests

Typology: Exercises

2017/2018

Available from 11/21/2021

youssef-bouferdou
youssef-bouferdou 🇲🇦

1 document

1 / 25

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
,
::
<
I
OassID _ N~e _ Date _ SCore _
Practice Set 1 Parabola parts dlmgutierrez
"
..
I'
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Give the focus, directrix, and axis for the parabola.
A)&e>
~Ird
~t
P)'IMD'ro-\
CbCls
I
eq.Vll{"tilOV1.
1) x2 = 16y Ve"b'tes .
etc.
1) _
A) (0,4), Y= -4, y-axis B) (4,0), x = 4, x-axis
C) (4,0), Y = 4, y-axis D) (0, -4), x = -4, x-axis
.'
1
2) _--x2 = Y 2)
:.
40
{
A) (-20,0), x = 10, x-ct*is B) (0, -10), y = 10, y-axis
,I
C) (0, 10), Y= -10, y-axis D) (0, -10), y= 10, x-axis
't~
"
r;
-:
",
;:--
3) x =9y2 3)
,
,.
~l.
A)
f~'o}
x
=-
;6'
x-axis
Bl
6
'l=
~,x-axj,
:7'
."
'J,:
C) !,o}x=- !,x-axis D) 0, 316' Y= - ;6' y-axis
"
~\.
;
~.;
t-:
','
,~
~'. 4) y2 = -12x 4)
1~
A) (3, 0), x = -3, x-axis B) (-3,0), x = 3, x-axis
.q
;~~
C) (0, -3), y= 3, y-axis D) (-3,0), Y = 3, y-axis
..
~
.~
1.('
5) (x +2)2 = -28(y - 5) 5)
f~'.
"
A) (-2, -2), y= 12, x =5 B) (-2, -2), y = 12, x = -2
.: C) (-2, -2), y = 12, x = 6 D) (-9,-2), Y= 12, x = -2
:~:.
;
-",
.
:"
6) (y - 5)2 = -4(x +4) 6)
1;~~
~.,
,:!~l.•
A) (-5,4), x = -3, Y= 5 B) (-5,5), x= -3, Y= -4
:~
C) (-5,5), x = -4, Y= 5 D) (-5,5), x = -3, Y = 5
r;;'
"
~,~
7) (y - 2)2 = 20(x - 3) 7)
A) (7,3), x = -3, Y= 3 B) (2, -2), x = -8, Y= -2
C) (8,2), x = -2, Y= 2 D) (-2,2), x = 8, Y= 2
8) (x +4)2 = 4(y - 2) 8)
A) (2, -3), y= -5, x = 2 B) (4, -1),
v=
-3, x = 4
C) (-4,1), x = 3, Y= 2 D) (-4,3), Y= 1, x = -4
1
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19

Partial preview of the text

Download Mathematics: Math Practice Tests and more Exercises Mathematics in PDF only on Docsity!

<

I •

OassID _ N~e^ _^ Date _ SCore _

Practice Set 1 Parabola parts dlmgutierrez

" .. I'

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Give the focus, directrix, and axis for the parabola. A)&e> ~Ird ~t P)'IMD'ro-\ CbCls I eq.Vll{"tilOV1.

  1. x2 = 16y Ve"b'tes. etc. 1) _

A) (0,4), Y= -4, y-axis B) (4,0), x = 4, x-axis

C) (4,0), Y= 4, y-axis D) (0, -4), x = -4, x-axis

.'

  1. _--x2 = Y 2) (^) :.

{ ,I A) (-20,0),^ x = 10, x-ct*is^ B) (0, -10), y = 10, y-axis

't~^ C)^ (0, 10), Y= -10, y-axis^ D) (0, -10), y= 10, x-axis

" r; -: ", ;:-- ,,. 3) x =9y2 (^) 3) ~l.

A) f~'o}x =-;6' x-axis Bl 6 'l= ~,x-axj,

:7' ." 'J,:

C) !,o}x=- !,x-axis D) 0, 3

~."; 6' Y= - ;6' y-axis

~.; t-: ',' ,~ ~'. (^) 4) y2 = -12x

.q^ f·^ A) (3, 0), x = -3, x-axis^ B) (-3,0),^ x = 3, x-axis

;~~ (^) C) (0, -3), y= 3, y-axis (^) D) (-3,0), Y= 3, y-axis

1.('

f~'.^ 5) (x^ +^ 2)2 = -28(y - 5)^ 5)

"

A) (-2, -2), y= 12, x =5 B) (-2, -2), y = 12, x = -

.: C) (-2, -2), y = 12, x = 6 D) (-9,-2), Y= 12, x = -

:~:. ;-", .:" ~.,1;~~ 6) (y - 5)2 = -4(x^ +^ 4)^ 6)

,:!~l.• A) (-5,4), x = -3, Y= 5 B) (-5,5), x = -3, Y= -

r;;' C) (-5,5), x = -4, Y= 5 D) (-5,5), x = -3, Y= 5

7) (y - 2)2 = 20(x - 3) 7)

A) (7,3), x = -3, Y= 3 B) (2, -2), x = -8, Y= -

C) (8,2), x = -2, Y= 2 D) (-2,2), x = 8, Y= 2

8) (x + 4)2 = 4(y - 2) 8)

A) (2, -3), y= -5, x = 2 (^) B) (4, -1), v= -3, x = 4

C) (-4,1), x = 3, Y= 2 D) (-4,3), Y= 1, x = -

Practice Set 2 Parabola equations dlmgutierrez

OassID _ Name^ _^ Date^ _^ SCore _

"

MULTIPLECHOICE. Choose the one alternative that best completes the statement or answers the question.

Write an equation for the parabola with vertex at the origin.

1) Focus (5, 0)

A) y2 = 5x B) y2 = 20x C) x2 = 20y

2) Focus (0, 9)

A) y2 =9x B) y2 = 36x

  1. Through (-7,7), opening to the left

A) y2 = -7x ~ B) x = .ly ~' 7

C) x = -7y

4} Through (7,6), opening to the right 36 36 A) y2 = - -x B) x = _y 7 7

C) x^2 =-y^49 6

  1. Through (-J7, 7), opening upward

A) y = 7x2^ B) y = x2 C)^ x^ =^ -J7^ y 7

  1. Through (5, -10), opening downward '2 _ 5 A) x = - _y2 B) x2 - - -y 5 2

  2. Through (6, -6~), symmetric with respect to the x-axis

A) x = 36y2 B) x = ~y2 C) y2 = 36x

  1. Through (6,6), symmetric with respect to the y-axis

A) x2 = 6y B) Y = 6x2^ C)^ x=^ -6y

Write an equation for the parabola.

  1. vertex (4,10), focus (4, 12)

A) 2(y - 10) = (x - 4)

C) Y - 10 = 8(x - 4)

B) (y - 10)2 = 8(x - 4)

D) 8(y - 10) = (x - 4)

  1. vertex (7, -9), focus (10, -9)

A) (x - 7)2 = 12(y + 9) B) x - 7 = 3(y + 9)

D) l(x - 7) = (y + 9)

C) (y + 9)2 = 12(x - 7)

D) x2 = 5y

D) x2 = 36y

D) x2 = 7y

D) y2=-x 7

D) x = y

D) Y =lx

D) x2 =--J6y

D) y2 = 6x

I

. ··.,. , . ,'.

I..I·... ". '

i 1

,.

I. I

i· r,',

I'. I'

I::::' (:',

I::':"

I.", I' 1'-: ,. t .. I" I

9) _

I.

10) __

~.. ,.

I .. ".

Pfc]'cti~ Set .3 Ellipse and graphs

'. 'dassID


Name _ Date, _ SCore _

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Graph the ellipse.

x2 v

,!

1) _

x

y

A) B)

(^10 )

5 '

y (^) y

-10 (^) -5 5 10 x^ -10 10 x

-10 (^) -

C) (^) D)

y (^) y

(^50 )

-50 50 x^ -50 50 x

x2 v

2) _

y

A)

C)

-

x

B)

50

, y

10

5

-50 50 x^ -10 10 x

-

D)

-50 50 x

5^10 x

-

·'

4) 49x2^ + 9y2 = 441

-.

10

x

y

5

-10 -

A) B)

~' y y

10 10

5

-10 10 x^ -10 -5 5 10 x

-10 -

C)

5 10

D)

10 10

y y

-5 5 10 x^ -10 -5 5 10

-10 (^) -

x

4)

'.

  1. (x + 1)2 + (y + 3)2 = i

10

x

y

5

-10 -5 5 10

A) ~ B)

y y

10 10

5

-10 -5 5 10 x^ -10 -5 5 10 x

C) D) y (^) y

10 10

(^5 )

-10 -5 5 10 x^ -10 (^) -5 5 10 x

-10 (^) -

5) _

Practice Set 4 Ellipse parts

OassID _

dlmgutierrez

Name _ Date _ SCore _

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write an equation for the ellipse.

1) center at origin; length of major axis 10; y-intercepts ±

x2 v2^ x2 v2^ x2 v

A) - + ...£.- = 1 B) - + ...£.- = 1 C) - + ...£.- = 1

2) foci at (-2,6), (-2,0); major axis length of 10

(y - 3)2 (x - 2)2 1

A) 25 + 16

C) (y - 3)2 + (x + 2)2 = t

(x - 3)2 (y - 2)2 _

B) 16 + 25 - 1

(x - 3)2 (y - 2)2 _

D) 25 + 16 - 1

3) minor axis from (-5, -4) to (-1, -4); major axis from (-3, -8) to (-3,0)

(x - 2)2 + (y - 4)2 _ (x - 3)2 (y - 4)2 _

A) 4 16 - 1 B) 4 + 16 - 1

C) (x + 4)2 (y + 3)2 = 1 D) (x + 3)2 (y + 4)2 = 1

4) eccentricity ~; foci at (3, 0), (-3,0)

x2 v2^ x2 v

A) -- + ..I.- = 1 B) -- + ..I.- = 1

5) foci at (0, 9), (0, -9), through the POin{I' 41~J

~+L-

A) 1600 1681 - 1

x2 L

C) 1681 + 1600 = 1

x2 v

C)-+..I.-=

x2 v

B) - +..1.-= 1

x2 ..E.-

D) 41 + 40 -

x2 v

D) -+...£.-= 1

x2 v

D) - +..1.-= 1

1) _

2) _

3) _

4) _

5) _

c.: ', ....^ '"^. ,> I' '': I',

r ....

r •

1 " • I" : "

I' r

',' I·':

[ i..:,. I.'

i, (^) ..

(,'. r: ~.. '.. I, :

to·.

. ',-

I···· I. I',

. !,I. " I'"

Class ID _ Name^ _^ Date _ Score^ _

'.;

. , '

\ • I ,r:

: -Practice Set) Hyperbola and graphs

.',.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Graph the hyperbola. i!:.. x

  1. 25 -'4= 1 1)^

!

'.':"

I'

5

I f'

y 10

-10 -5 5 '" 10 x

I f:. i.'

A) B) ' r.·^ ..

10

t:

I·I.', r!. I I,', l", t

r

y

-10 (^) -5 5 10 x

C) D)

(^10 )

y y

5

-10 -

,.

I' ,

-10 -s S 10 l(

- -

A) ~.,,'.^ B) y " y 10 , ~. " I " 3) .: I, I l ,

'"

f. I, t,; I" I L

i.

l: r I r I I I, I, r. f I

3) (x - 3)2 _ (y + 2)2 = 1

25 36

10 y -10^10 x^ -

-

C) D)

5 "t

I I

I;' ~ I

-10 -5 (^5) 10 x

;:~ (^) -

i'

-

"

"

4) (y + 3)2 _ (x - 2)2 1

10

10 l(

y

5

·10 ·

·

A)

·

B)

10

y

·10 ·5 10 x

·

·

C) D)

y 10

5 5

·10 ·5 5 10 x^ ·10 ·5 5 10 x

·

·

4) _

r i, '' I I ( "

I

', :.

I': r: ~:.::,':

':', '

','

-t"

-

C) (^) D)

y 10

..

-,,:. ,';

" "!~.. 1...· .. ;

',":

f ~.

4.^1

I

t.,

';

I, I:

"

I: I, 1',

6) 16x2 - 4y 2 = 64

10

10 x

y

-10 -5 5

- -

A) B)

y 10

-10 10 x x

-

-10 10 x (^) -10 -5 10 x

-

Practice Set 6 Hyperbola parts dlmgutierrez

OassID _ Nmme^ _^ Oate _ Score _

"

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the center, foci, and asymptotes of the hyperbola.

x2 r..

1)9- 16 = 1 1) _

A) C: (0, 0); F: (0, -4), (0, 4); A: y = IX, Y = - x

B) C: (0,0); F: (0, -4), (0,4); A: y = "4x, y = -"4x

C) C: (0,0); F: (-5,0,,:-<5,0);A: y = IX, Y = -"3x

0) C: (0,0); F: (-5, 0), (5,0); A: Y = "4X, Y = -"4x

r.. ~-

4 4 A) C: (0, 0); F: (-8, 0), (8, 0); A: Y = IX, Y = - IX

  • 3 3 B) C: (0,0); F: (0,-10), (0, 10);A: y = "4x, y = -"4x

C) C: (0,0); F: (0, -8), (0,8); A: y = "4x, y = -"4x

4 4 D) C: (0,0); F: (-10, 0), (10,0); A: Y ="3x, Y = -"3x

  1. _

3) (x + 3)2 _ (y + 3)2 = 1

A) C: (-3, -3); F: (-3, -8), (-3, 2); A: y = 4 x - "4' Y = - "4x + T

B) C: (-3, -3); F: (-8, -3), (2; -3); A: y ="3x + 1, y = -"3x - 7

C) C: (-3, -3); F: (-7, -3), (1, -3); A: y = TX +"3'y = - TX +"

D) C: (-3, -3); F: (-3, -7), (-3, 1); A: Y = TX -"3' y = - TX +"

  1. _

.... ....

OassID _ Nmne^ _^ Date _ Score _

Practice Set 7 Hyperbola equations dlrngutierrez

..

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Write an equation for the hyperbola.

1) vertices at (2, 0), (-2, 0); foci at (6, 0), (-6, 0)

x2 i!:... x2 i!:... A) 36 - 4 = 1 B)4 - 36 = 1

x2 v^2

C)--..L-=l 32 4

D) __^ x2 ..L-= v^2 1

1) _

2) vertices at (3, -5) and (9, -5), passing through the point (-6,9)

(x - 6)2 (y + 5)2 (x - 6)2 (y + 5)2 1

A) 9 - 196 ~l= 1 B) 9 - 331

  1. _

(x - 6)2 (y + 5)2 _

C) 331 - 9 - 1

(x-6)2 (y+5)

D) 196 - 9 = 1

3) vertices at (0, ±4), asymptotes at y = ± ~ x 3)^ _

A) -L-^ v^2^ __ x2 = 1

.E ~-

B) 16 - 36 -

.E_ x2 _

C) 16 144 - 1

D) ..L- __^ v^2 x2 = 1

36 4

4) vertices (-4, -5), (-4,9); eccentricity ~

(y + 4)2 (x - 2)2 = 1

A) 9 - 49

(y - 4)2 (x + 2)2 = 1

C) 49 - 9

4) _

(y - 4)2 (x - 2)2 = 1

B) 49 - 9

(y - 2)2 (x + 4)2 = 1

D) 49 - 9

:'

  1. center at (6, -13); focus at (6 - yJiO, -13); eccentridty ~

.

,',

•. (^) A) (x + 6)2 _ (y -13)

B) (x - 6)2 _ (y + 13)

. =

"

C) (x + 6)2 _ (y^ -13)^

(x - 6)2 (y + 13)

9 81 D)^81 -^9

·.

Practice Set 11 Limits algebraic functions

Class ID _ Name^ _

dlmgutierrez

Date _

Score _

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Find the limit, if it exists.

  1. lim x2 - 2x - 15 x--5 x + 3

A) -

x3 + 12x2 - 5x

  1. lim x--O 5x

A)

  1. lim x2 + 2x - 80

x -- 8 x2 - 64

A)O

  1. hm

x4 -

x--l x-I

A)

  1. Hm

h--O ,J3h+4^ + 2

A) 1/

  1. lim

7x + h

h-» 0 x3(x - h)

A)~

x

  1. !im

(x + h)3 - x

h--O h

A) 3x2 + 3xh + h

  1. lim^

x--O x

A) Does not exist

  1. lim^

(l+h)1/3- 1

h--O h

A) 1/

B) Does not exist

"." " B) Does not exist

B) 2.. 8

B) 4

B) Does not exist

B) Does not exist

B) a

B) 1/

B) 3

C)

C) -

C)--

C) Does not exist

C)

C) 7x

C) Does not exist

C) 1/

C)O

D)O

D)O

D) Does not exist

, D)O

D)

D) 3x^2

D)O

D) Does not exist

5) _ .....^ "

  1. _

7) _

  1. _

j, ."