Chapter 2 Review
Name:
Hour:
Solve:
Give the answer in Interval Notation:
1.
x+1
x
x-7 x+3
x+ 4
>13
3
(2,0
4.
(
3.
2 4y-11+6> 20
t'Q>
Factor the expressions completely
324 a2 - 225
a. 24x2 - 38x - 25
)(°/ K
9x3 =-12x2-- 48x +--6-4
d.
c, 27x3 +64
21( `f(6
(3 X
—
C3X-1-1)
Solve:
,
6,
5.
r.
Vt(
00--_-__ x' 274Y +
—
E±
—2_
7.
+ 2 + V3x. = V6x
2-6t72--
8.
60- 3>(
27 — 8x3 0
(?.-1- 6Y
6ciAe_qc 27)c
•
ts
5'
2-5>ij
Simplify:
( I
3 I ‘1 2
9.1 a 2b2
9.
10,
I
94 a3b4
3
2-51
7 — V-529
tY 9
11,
4
X2 —169
3
12.
(3 _21)(4+ 5i)
c.)-rej
x2
—6x-91
,
(2_ „
n(y43)
e'c?
iX F
(1(-/
Solve by Completing the Square:
13.
1 3)
14.
2x2 —5x-32 = 7x+4
2x2 -19x+41=11x—x2 +5
)Cz—
7.4c •-3
6>c —/
VI
r2-•
0x
—/c.?
?.
2_
—/oK
EX.17 3
/))
Solve Using the Quadratic Formula:
15.
16,
4x2 — 24x — 72 = 0
(
L.)
t
1-
(4--
3 2 —24x +36 = 0
Of_
,
Solve:
17,
x 2 +x+7 =2-x
18.
„2
-1
8
Ms. Guinn enjoys gardening in her spare time. She likes growing vegetables to be sold in the Maple
19,
Tree school store. Her current garden next to the football field is a rectangle that is 10 meters long by 5 meters
wide. She wants to increase the length and width by the same amount to obtain a flower bed with an area of 75
square meters. What should the amount of increase be?
10
i-/) (5- iy)
5-22
5
'•;-'
(c-1
-y
7_7(
3 )
e-'
A bus traveling at an average rate of 32 miles per hour left the city at 1:00 P.M. A car following along
20.
the same path as the bus at 48 miles per hour left the city two hours later. At what time of day did the ear catch
up with the bus?
r--
21.
Total profit (in dollars) for sales of Seaholm Soccer T-Shirts by the boosters is given by the equation:
P(x)=-0.2x2 +300x-200
How many T-Shirts need to be sold to generate the maximum profit?
What is (he maxi MUM profit (in dollars) that can be generated by the T-Shirt sales for the Soccer
boosters?
K
r
:1'
— 3 0°
71---?06) 6 5—a))
—0)
/
3 oc).
c_J