Download Summer Assignment Answers

Assignment 5: Objective 8 Factoring Completely
Factor completely.
2
x +12x + 36
(x
5.
ru> X * I - C p )
2
- 9 x + 27x
s
-fy(x
- 5 )
2
6.
9a b-27ab
2
7.
16x -81
8.
9x +24x+?6
x -144
b -b + 2b-2
2
4t +4t-15
PMS-H-<pO
S:4
33
3
2
2
\
3
2
9.
6* +18x -5x-15
10.
4x +25
11.
i
\
6 x - 7 x y + 2y ^•u>-2.- V2
12.
a + 9a + 18a
2
2
3
2
2
34
\
2
13.
5 x - 2 0 x + 10
14.
2xy-x y + 6-3x
15.
3a -10a+^
16.
x + 2x-63
2
2
2
p-3*<
Assignment 1: Objectives 1 and 2 Solving Equations and Inequalities
Solve each e q u a t i o n .
1. -3(x + 1) = 7
5.
X-t v - - ^
-4(2x-6) = 5x + 24-7x
-By+24 = S x - K ^ - ^
-Y*-t-24--2X-+2M.
O-^x
x^o
3
2.
7 -(w - 4) + 2(w - 3) = 6w ~ 5
6.
— =15
2
7.
7(2x - 3) - 4(3x - 5) = 4 + 6x -13
io - 5 v^j
3.
4x-7 = 4(x-2)-2
^X-2\
no
4.
^o\u^
+
H+lox-l^
X -a-a
b v n
.05(x-5)-.08x=1.01
V 6
*o"b<- ."2-S"- ogx - i . o i
fc
9
— ,0~2>X - . 2 S " - | . o \
y«0
25
2
j
Solve and graph.
9. 7x - 1 > 3(x + 5)
12.
> 3x+\S
-2(x - 3) < 5(x + 1) - 13
-2x+_>^Sx+S-~L3
4 y > We
'4 < ^ y
X>M
H
o
1
f
0
10.
2(1 - x) + 5 < 3(2x - 1)
2-2x-*-5*
1 3
tox-3
-
f
+
i
Q^v^^^v^—^
2
1 2 < | + 18.
T-~2x £_k\-3
X^»2
a.
ix
11. -14<-7(3x + 2)
14.
«
3 —
0 C - 2.1 X
.)
\3
«
12
8> 2 x - 3
o >x
l\> 2 *
^
<^—•^/yw^Cft
o
^
,
26
JV^ftgn
f
Assignment 2: Objectives 3, 4, and 5 Finding slope, graphing, and
writing linear equations
Part I - Graph each o f the following carefully.
1.
Lj_-y+4
x + y = 4
4.
y =5
r r T T p
-—-~-r->-
i i
"1* t
i .'"
x = -3
*Jv44l,v_f--;,.i»,
i5n±±5
if
;
3x + 2y = 12 2 ^ w v < .
v
\
V
V
-
Part II - Find the x and y intercepts for the following linear graphs.
7.
2x + 5 y = 1 0
8.
(5>c>)
y*2_
(0,2}
3x = y
Co,o)
-
Part III - Find the slope o f the line passing through the following points:
9.
(2, 8) and (-3, 8)
10.
(5,-4) and (-2, 7)
Part I V - Write the equation of the line that meets the following criteria: ^ "
2
11.
Passing through (5, -2) with a slope o f —.
12.
"HfW * b
1
Perpendicular to the graph 2x - 5y = 3 and passing through (-2, 7).
* " M f
\
Ll
13.
Find the equation o f the line through (6,1) and (-2,5).
14.
Write the equation o f the line passing through the point (8,4), parallel to the
15.
Write the equation of the line where m = 0 and the y-intercept is (0,4).
16.
Write the equation of the line that pass through (12,-3) and (12,6).
m -uncles
28
17.
Determine the slope of the line 5x + 2y = 20. Describe how the line will be
positioned (rise, fall, horizontal, or vertical).
u n e . uii\v -fia.il
2tp20~ SX
Part V - Graph each equation by finding the x- and y-intercepts.
19.
x-3y=
4 ..
fT"*""!""
-6
?TTTT~
:
s,
2^12
4..* 4
j
J. .
C©/Z)
uj-i /rV 3 x - + 2 ^ * ) - a
:
12
29
Assignment 3: Objective 6 Solving linear inequalities in two variables
G r a p h each linear inequality.
3.y>iA- +
-•
-4+
• '444. 2x + y < - 3 ^
{
5. .r
r > 4 d ^ d
6.X2S-L5
T
t-r--r7"
]
i
• I
- |— j - • - r - ~>—
1 — (--«—J~-i
7. Sheila earns a basic wage of $8 per hour. Under certain
conditions, she is paid $12 per hour. The most that she can
earn in one week is $400.
a. Write an inequality that describes her total weekly wages for
x hours at $8 per hour and for y hours at $12 per hour.
b. Graph the inequality on the grid at right.
c. What is the maximum number of hours that Sheila can work
for S8 per hour? for $12 per hour?
124 <C a OD
4^
30
10
20 30 m
Assignment 4: Objective 7 Solving Systems
G r a p h and classify each s y s t e m . Then find the solution f r o m the graph.
y= x4 4
[y + x = 4
_4.lX-i— 4
_i
Ll
... s. • |
3.
•fl 1 1 1
\.\ L J
_Li .
0
-:
-fi v i -
—r—|—t—*» •I
•• 4 -f—j—|—•
—,
-H
—1
'"1
. i - . f —i3 —
.Li \
1144L
l-pl
.. .
• i l l
j
j
._L\
-2-
i i
f 3x 4 4y = - -7^
3 y-_
t
,
..,{,.',,{. A _
2
.
sJ—j—^
4444-j- r f - r
—
Hh •
iO*4 ) ' . C c n ^ b k ' ^ '
N
' ^ , : 4
M u p - - 4
-5%
U s e substitution t o solve each system of equations. Check your solution.
[y
\x
+ 2 x = \ \
+ y
= 5
io-y-\l
5
5
J x - 10y= 2
|x -6y = 6
M s. *f
X ' - 12
31
($
6
x
=
y
|2* 4- y = 5
Use elimination t o solve each system of equations.
Check your solution.
7
{5x + 9y=-7
[2x
B
+ 3y = - 1
y . ^ - ; ^ - 3 (g $)
r
I 2x
f7j>-*»8
- 9y = 4
'j * - y = 4
no xia^on://
Jd2^112i£_iki2^
Ox+Cy---^
A
y - 3
U s e any m e t h o d to solve each s y s t e m of linear equations.
Check your solution.
10
\\2x-y
= 2
14x + 3y = 4
[2x + 5y = 16
X
32
Ux+y=9
\2y=
-8x + 18