Download .IN#n.+s)Kx5T Esthetes

Math 40
Final Review
SOLUTIONS
Name:
1. Reduce to lowest terms.
4a2 12a + 9
4a2 9
Date:
:*#÷
*
29-3=+3
2. Multiply or divide as indicated.
2x + 4
x3
·
x2
8x + 16
(a)
*t¥*Et
1
3. Subtract.
4y
(a)
2
y + 6y + 5
2x2 + 7x + 3
4x2 + 8x + 3
÷
x2 16
2x2 5x 12
4×+4
(b)
¥*Xx±ntxt#*±
XI
y2
3y
+ 5y + 4
(b)
3x + 1
2x 6
x+2
x 3
I
Xix
¥¥
Estha
.IN#n.+s)Kx5T
4y£tH
Fs)
Esthetes
-
,
.us#5IIha+n*z**t=tz=yFshtH
'
think
I
4. Solve the following equations.
4a#
afar
Ya
a
3
a
+
=
2 a 3
a 3
-3 )
2C
a#3)t6=2a
at
}aat6=}aa
.
'
a
(
-
a
6=0
Sat
)(-3 2)
a
-
:
-3=0
ga
-2=0
a
a=$
2
,
5. The sum of a number and 7 times its reciprocal is
16
. Find the number.
3
12
6. The sum of the reciprocals of two consecutive odd integers is
. Find the two numbers.
35
]s×(
5×4×+4
3*+21+351=125×+2
35×1×+4
*t*#FE
xD
s >
.
)
35×+70+351=12×2+24
't
-7,0×0×+2,00=12×212,408*0
)
>
0=12×2-46×-70
0=46×2-23×-35 )
0=24×+711×-5 )
:-# x=S
×
7. The current of a river is 3 miles per hour. It takes a motorboat a total of 3 hours to travel
12 miles upstream and return 12 miles downstream. What is the speed of the boat in still
water?
r
-9=0
r=9
9m/h
rtko
r=*
. , I ¥#
€nt9s¥÷¥¥
.mn
,*=
yr
¥yte¥s=3
w+s¢+nr #](r¥#r-|o=Kri8r
1z(r+3)+12(r-3)=3(
a
a
5
r
-34+3)
.
-
0=35
.
Mr
24r -27
.
rtl
)(
0=34-9
9)
)
8. Simplify the complex fraction.
F÷n÷a**i
9
y2
1
e1
1
y
6
y2
#
2
9. On a map, 0.5 inches is equal to 5 miles. Suppose San Luis Obispo is 3.4 inches from Paso
Robles on a map. How far apart are the two cities?
iI↳u¥*1
÷sx=o¥
×
=
34 miles
EEG
10. Find each of the following roots, if possible.
p
p
(a)
169 = is
(b)
100x2 y 4
×y÷
-
(c)
p
3
27
(d)
10
p
3
'
£=2a
8a3
11. Put the following expressions into simplified form.
p
p
(a)
90x3 y 4
(b) 3 20x3 y
[email protected]
(c)
r
49a2 b2
16
5
(d)
p
20x3 y 2
p
144
¥
=iExIf÷
5xy#
6
(e)
2
p
7
¥=m÷n
(f)
r
3
=FE¥¥f
1
4
¥
=
±F÷=E÷
9¥ o÷xxI¥¥Yx
12. Solve each equation.
p
(a)
3y + 1 + 7 = 2
-
7
(b)
-7
#t¥HT
p
3=x
MM
.
died
53
x
x
-3=4-3113)
Ft +7¥
5+742×-3=6-6×+9
-3=5-3×-3×+9
zy+1=2S
×
3=24
No solution
1×+3
-
xts
's
:*