Practice Problems Evaluate each algebraic expression for the given value or values of the variable(s).
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1. 7+4x, for x=4
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3
2. x2+5x, for x=9
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+-
5(9) = '8\
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+Lt'5
3. x3-4(x-y), for x=2 and y=5
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4.
S(x+3)
, for x=7
2x-iS
5 ( "1 -4- 3) -:.)
5( }O)
~(11- IS
;JL1) - IS
50
1'1-
IS
+- 12 ::
dO
":: -50
--I -­ -5D
5. A soccer ball was kicked vertically upward from a height of 4 feet with an initial speed of 60 feet per second. The formula h=4+60t-16t2 describes the ball's height above the ground, h, in feet, t seconds after it was kicked. What was the ball's height 3 seconds after it was kicked? \oo\<-'n~
h? ¥-'(\O......, +::. 3
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n -:. .. + (,~3 - ltA.g.,) --~ f ur
\Q
rJ
~
~J
~7 \ 8Lt - 1'-14 =-) t.f() .f.+
Find the intersection of the sets.
~
6. {s,e,t} n {t,e,s}
..roc
tS,~,1-1
7. {0,1,3,5}
n {-5,3,5}
Find the union of the sets.
8. {1,3,7,8} [j {2,3,8}
t',d}3.1,%1
9. {0,1,3,5} lJ{1,2,4,6}
l 0 • , , ;;), '3 .Li , 5. ~ 1
List all numbers from the given set that are: a.) natural numbers, b.) whole numbers, c.) integers,
d.) rational number, e.) irrational numbers, f.) real numbers
10. {-5, -0.333 .... , 0,
V2, V4}
b,)
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Math 1005 Fall 2012
Instr: Lori Ann Schoenhard
Quiz 1
Please answer all questions carefully and show all of your work.
1. (2pt) Evaluate 7x-y, for x=2 and y=4
7(J.) - y 1'1 - Lf '0 2. (2pt) Find {O,l,3,S,7} n {l,2,3,4}
3. (2pt) Find {2,3,S,7} U {2,4,G /B}
4. (2pt) Simplify 1111- 1-31
~\-3-:~
5. (2pt) (x:7)(X+7)=l, xt.-7, (X:7) is _ _ _ _ _ of
a.) additive inverse
<9multiplicative inverse
c.) additive identity
d.) multiplicative identity
ex + 7).
6. (2pt) Evaluate 1x I - Iy I ,for x=3 and y=-3
3 -
)-3\ 3 -3
=-
0
7. (4pts) Simplify 9-S[3-(5x-2)]
q - 5 ( 3 - Sx ..-;LvJ
CJ -
~
s (-
S~ +-5)
.... '-'0 -X -cJ5
B. (4pts) Simplify y
+ 2[3 -
(y - S)]
J+~(3-'y+S)
J
t-
;;ll~-'i)
J + III - ~j
\lo-~
~sx-\l9
Practice Problems ~ \uhoo s
Name:
Note: Ql is just on P-l
Q2 will be on P-2 and P-3
P-l:
1. a.)What is the additive inverse of (4+x)? -l..4"'~);. -4-~
b.) What is the additive identity of (4+x)? b
c.) What is the multiplicative inverse of (4+x)?
d.) What is the multiplicative identity of (4+x)?
I
-t.x
2. Simplify 18x2+4-[ 6(x2-2)+5]
f~ )( ~ "'" LJ -
t "')C a - \~ -r-S J \~X~.t I..f -( f.D)t~.
\t'X l ... '-I-\#)C:l
+) ""
1
\a.~d+ 11 3. Simplify 4(5y-3)-(6y+3)
dO
0-\~ - I.o~ - 3
'4;)-15
5. Write in decimal form: -4.15 x 10- 5
-4 15
~
-0.00004 1 5
2.4x 10- 2
6. Evaluate
4.8 x 10­
7' Write your answer in scientific notation.
.:. . S )( 10
5
-:. S -y.. \D~ Date~
Math 1005 Fall 2012
Instr: Lori Ann Sehoenhard
Quiz 2
Please answer all questions carefully and show all of your work. I
1. (4pts) Simplify (-3x 4 y)-2(4x 5 y 3)3
t-3Y~ &'if'" ~:l, eLf)3 6c S ) 3~ 3)
1
I
I
C:.3)~ ~fr~:i'
2. (2pt) Write in
decim~
(,
1'5
l/ X
"I
3
•
q
q-
J "I
)(.
IS
'i ~
.~ Lf
'I(
't
'j:;; :.
'f )(
Y ­
,.
~'1
_ qX
form: 9.78 x 10-5
15
J;\
)("{f
14 Lf
l.J, 1../)<.
1-
ts,~)
l q -J)
J
L
~ r
~/~
2
9 X 10W'
,
"f'
,
3 , (2 pts ) Eva Iua t e 2 x 10- 7 '
rite your answer In selentl "Ie notation.
~ )( I
o-.;l- (-
Lj. S )( '0 5
1-) ):0
~L
~
)(
rf.-Q
.~"''j):o s..r=i .... '0
r,.... ;t)
~-'1
5, (4pts) Simplify using properties of exponents
(8X322h
/2
6x
~~B
=-
d<0
;'l
~ld!»:l.
ifF
-- d~'Z.- Lj
{~)d/3/" 3 )11/3
~
_
\..
----:--lo \/~
)C
­
-
~~
: J~x*l·)
.. 3)<5
5
v7-2
6, (4pts) Rationalize the denominator: -;:;;­
_5
~:l ..
0-<'
-:. sR
--
3
..f-ID bt'
5lJ1~;l)
3