Download Algebra Sem Exam Review_Part 3_ANSWER KEY

Spring Semester Exam Review
Name
PART 3
Graph the equation. State the vertex, the axis
of symmetry and the zeros.
2
1. y=x2 +3-7x+12 \/= ÿ --7"Z."}-!ÿ
v
,
,,- b .ÿ "T
7"
Maximum orÿircle one)
Axis of symmetry: "ÿ ÿ- 3,ÿ
Zeros: ÿ"ÿ ÿÿ,,
ÿ ÿ 3, ÿ ÿ "7 (ÿ,5")ÿ- ÿ5
'! -2,75
Find each sum or difference.
2. (5x2 - x- 7) + (2x2 + 3x + 4)
"7× 3
2
3.
@2 _3x)_(2x2 + 5x)
Graph and check to solve each linear system.
-x+y=3
\t = "¢-,-t 3
4.
-5x+y=O
0
\/ - 5"/,-*-, ÿ
,
x+y=5
x+y=6
y = -ÿ-X+- 5
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6. The sum of two numbers is 59. The difference between 2 times the first number and
6 times the s, econd is -34. Find the two numbers.
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7. Olsi has $4.95 is quarters and dimes. He has 3 times as many ditfiÿarters. Which
system of equations can be used to find q, the number of quarters and d, the number of
dimes that OIsi has.
d=3q
0.1ÿ0g + 0.25d = 4.95
B. d=q+3
0.25q + 0.10d = 4.95
d =3q
0.25q+0.10d = 4.95
D. q=3d
0.25q+0.1 d=4.95
.
Look at the following system of equations.
--t<2x-2y= 14)
6x - 2y - 32
I/Lÿ, ÿ-,) 2q
: ÿ-
7bt "S-)g
"" 0 ='ÿ
ÿ( = fl. 5
--__o..5
Which of the following is a description of the solution for this
---
A. An infinite number of solutions H ÿ --ÿ ÿ)
B. No solution
* ÿp
7--ÿ°ÿD
+
One solution
D. Two solution
9. Mr. Pannell is planning to put a fence around a rectangular garden. The length of the
garden is 3 feet more than 1.5 times its width. If Mr. Pannell uses a total of 36 feet of fencing
around the edge of the garden, what is the length of the garden?
Pÿ 2 L_÷2.ÿ,t
)
.L---. !, s 3
--L.;
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1 0. Match the system of linear inequalities with its graph.
1
2
mX+
x<-iy-ÿ_<ÿÿÿ)'ÿ X-ÿ- 3
x>
x>-I
.__2-"
A,
,,
B,
j .. I
y
I:(:
a.t i
-31
t
t
3 .r
:, I%
I
_ÿ_3-71--+-
Simplify.
11. (tSsSXt2s)
'x'
12.
b2
-F_. 5s
14. Which expression is equivalent to
(SxS)(2xS) ? Iÿ_t _
if,<qÿ,
A. 4x9
/" B. 4x2 ÿ}
_jjJ
C. 2x8
D. 2x4
Solve each inequality and graph the solution on a number line.
'<'ÿq
16.4a-8<2a
--
O. 4. H-
--
2.- 2
Oÿ ÿ._ H
1 7.2(3x - 1) > 6(x + 1)
{:,x - a -2. bÿ<.+6,
'- P.,> g
solu-Fo:!
3
Is the ordered pair a solution of the inequality?
X
18.3x + 2y < 4; (4,ÿ')
19. 5x-3y > 4;(-1,-5)
s(-ÿ,)-- ?(-5) >
-5415ÿ7ÿ
If'-> H
Graph the inequalities.
-a
21. 2x-2y< 6
20. 2x+2y>_8
-g 7.=5
bO{" ';a-/ÿ -- 3
I
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• lI
Ill
I
+
III
444
÷
÷
i i i
III
H
+,
+H
i
H
III
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22. Which ordered pair represents one of the zeros of the function f(x) = 6x2 + llx - 357
A. (-35, o)
-If-+ JzÿTT777-ÿ@(-3s)
8ZcZ-s.a,_ÿo)
12
=IIÿ-: ÿlz I+ÿ,+o
"
t%
D. @0)
The Netroraii co, llected $887.50 iin fares in ,one day. The pricÿe of a regu'{ar fare was $1.2:5, and [he pria
23. of a dis¢ount fare was $0.,60, If a ,total ,of 775 peÿpÿ paid the fares on. this bus, hpwmany pa, id the
oo ÿ,asX +..ÿov : aÿ-Z.5o')
'X= rÿOtÿbr" ; ÿ 50
...........................
ÿ* ÿ---ÿ-ÿ.
&5ot,,ÿ.ÿ.-T75
1ÿ
-",,
.........................................
Y =' 12. ÿ,
t5
bÿ
X '" ÿ, 5o
= ÿrsÿ.