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Excel Academy Charter SchoolAlgebra I

Final ExamSpring 2016

You have hour! and 20 minute! to complete thi! exam"

For each problem, half of your points will come from

getting the correct answer and half will come fromshowing work and/or explaining your thought processin this packet.

#oint value! and Sugge!ted $ime %imit!& 1' (ultiple Choice )ue!tion! *1 hour+ ' ,alue Compari!on! *20 minute!+ - Short An!.er *'/ minute!+ ' raphing *2/ minute!+ 1 pen e!pon!e *0 minute!+

o 3!e any remaining time to chec4 your an!.er!

You (AY u!e your calculator on all problem!5 but rememberto !ho. .or4explain"

Name: __________________________________________________

Homeroom: __________________________________

Date: __________________


2/18

y

x

Part 1: Multiple Choice (14 Questions Suggested time 1 Hour)

1" 3!e the 7i!criminant to 8nd the number o9 real !olution! o9 x2: 2x; - < 0"

*a+ 1 !olution

*b+ 2 !olution!

*c+ !olution!

*d+ in8nitely many

*e+ =o real !olution

2" >hich line! are parallel?

%ine dpa!!e! through *25 '+ and *:15 6+

%ine e pa!!e! through *:5 :2+ and */5 -+

%ine fpa!!e! through *65 :'+ and *5 :2+

*a+ %ine! dand e

*b+ %ine! dand f

*c+ %ine! eand f

*d+ All three are parallel

*e+ =one o9 the!e

" >hat i! the e@uation o9 the da!hed line !ho.n?

*a+x< 2

*b+x< :2

*c+y< 2

*d+y< :2

*e+y< 0

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3/18

4. >hich o9 the 9ollo.ing i! the 9actoriation o9 6x2; 1x: /?

(a+ *2x; /+*x: 1+

*b+ *6x; /+*x: +

*c+ *2x: /+*x; 1+*d+ *x; /+*6x: 1+

*e+ *x; +*6x: /+

/" >hat i! an e@uation o9 a line perpendiculartoy=

1

3x5

?

*a+ y=3x+6

*b+ y=1

3x+

1

5

*c+ y=13x+2

*d+ y=3x8

*e+ y=13x+5

6" >hich expre!!ion give! the !olution! to 2x2:x : 10 < 0?

*a+ x=11(4)(2)(10)

4

*b+ x=11(4 )(2)(10)

4

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6x2

-5


4/18

*c+ x=11(4 )(2)(10)

4

*d+x=

101004 (2 )(1)

4

B" >hich o9 the 9ollo.ing !tatement! i! true? Choo!e all that apply"

*a+ AC7 i! a !@uare

*b+ AC7 i! a rhombu!

*c+ AC7 i! a parallelogram

*d+ AC7 i! a @uadrilateral

*e+ AC7 i! a polygon

*9+ AC7 i! a trapeoid

*g+ AC7 i! a rectangle

D" Solve 9or x& 6(x+ 5(x! " # $

*a+ x < 65 /5 or D

*b+ x < :/5 or D

*c+ x < 65 :/5 or D

*d+ x < 65 /5 or :D

*e+ x < /5 and D

10" Con!ider the e@uationx%# !&" >hich !tatement de!cribe! the number o9!olution!?

(a) The equation has exactly one solution.

(b) The equation has to solutions.

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!"

C#


5/18

x : 6

(c) The equation has infinitely many solutions.

(!) The equation has no real solution.

(e) The number of solutions cannot be !etermine!.

11" In the !y!tem o9 e@uation! { y=4x 27x 2y=1 .hat i! the x value in the!olution?*a+ 1

*b+

*c+ :

*d+ 10

*e+ /

12" In the circle !ho.n belo.5 the area can be expre!!ed by the e@uation A< *x: 6+2" >hat i! another .ay to .rite thi! polynomial?

*a+ A< *x2; 6+

*b+ A< *x2: 6+

*c+ A< *x2: 12x: 6+

*d+ A< *x2; 12x; 6+

*e+ A< *x2: 12x; 6+

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6/18

1" >hat i! the e@uation o9 theparabola graphed here?

*a+y< *x; 2+*x; +

*b+y< *x: 2+*x;+

*c+y< *x: +*x; 2+

1'" Go. many xintercept! .ould the graph o9 the e@uation y #x%! '$x+%5have?

*a+ =oxintercept!

*b+ nexintercept

*c+ Gave t.oxintercept!

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7/18

Part 2: Comparisons (4 Questions Suggested time 2& Minutes)

7etermine .hether the @uantity in Column A or @uantity in Column ha! the

greater value"

Column " Column !

1/"

23

31

Column " Column !

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*A+ the @uantity in Column A i!greater*+ the @uantity in Column i!

22

2


8/18

16"$he value o9 x in thi! e@uation1

2x+|3|=7

$he value o9 x in thi! e@uation

7etermine .hether the @uantity in Column A or @uantity in Column ha! the

greater value"

Column " Column !

1B.

2.4103

1.2108

Column " Column !

Page 8of 18


7x=32 (x+6 )


(1109)(2104)


9/18

1-"$he yintercept o9

y=1

2x

1

2

The slope of

Part : Short "nser (8 Questions Suggested time 4$ Minutes)

1D" Find thexintercepto9 the graph o9 the e@uation &x+ )y# !%&"

"#.$.o line! have the !ame !lope" Go. many po!!ible !olution! 9or thi! linear!y!tem? Explain your an!.er"

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y=1

2x

1

2


10/18

I9 the line! have the same slopeand the same yintercept5 there are

HHHHHHH !olution!

becau!eHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

H

I9 the line! have the same slopeand di*erent yintercepts5 there

are HHHHHH !olution! becau!e

HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

HHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH

H

21" 3!e the di!criminant to determine i9 %w%! ')w+ ''i! 9actorable over

the integer!"

22" Solve and graph the ine@uality 2x7


11/18

x

y

2" 3!e the table o9 value! 9or a parabola belo. an!.er part! ac"

a"+ >hat i! the vertex o9 the parabola?

* HHHH5 HHHH +

b"+ >hat i! theyintercept o9 the parabola?

*05 HHHH +

c"+ >hat are the mi!!ingycoordinate! o9 the point! on the parabola?

*/5 HHHH + *65 HHHH + *B5 HHHH +

2'" >rite the e@uation o9 the line in !lopeinterceptform.

Page 11of 18

x y

$

"

$

4%

$

%

$

"&

# $'

% %

" & '

4

*

+ *


12/18

2/" on u!ed the 9ollo.ing !tep! to !olve %y%! y+ 5 # "incorrectly. ut

an - next to the step where he made an error, then sole itcorrectly

.

2y2: By; / < D 2y2: By; / < D

*2y: /+*y: 1+ < D

2y: / < 0 andy: 1 < 0

y i! graphed belo." Fir!t5 dra. JCLYL>L by re2ecting 34across the xaxis" $hen dra. JCLLYLL>LL by translating 34777 5units right and % units up.

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15/18

0" raph the parabola y#x%! &x + )by 9ollo.ing the !tep! belo.

Page 1$of 18


16/18

8'& 3!e the 9ormulaxrite a !y!tem o9 e@uation! that repre!ent the number o9 apartment!rented and total income earned Solve the !y!tem o9 e@uation! to determine the number o9 !mall

apartment! and the number o9 large apartment! in the building"

x< number o9 !mall apartment!y< number o9 large apartment

x ; y < HHHHH HHHx ; HHy < HHHHH

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