Download x+y-2 3x

MATH 65
NAME
Test 1 Review
_-_-
When you solve systems on this review, there are only 3 kinds of solutions possible. They look like the ones
1)
below:
Use the graphs below
1.
2.
1)
2)
1)
7\
t)
2)
A
T,
5.
x-Y-4
-y:6
3x
x-Y:4
2x-2y =$
x+y-2
3x-y=6
1)
3x- y:6
2)
6x
1)
2)
{(x,y) | x +y =J}
x-Y=4
x-Y=-l
-Zy =l),
For #7-10, solve by graphing.
7.
3)
x-y=4
x+y=/
?\
1)
2)a
to determine the solution to each system.
1\
r)
2)
6.
(4,-3)
!:-x-4
!= x-2
Put answer in answer column. No credit without correct graphs.
8.
1)
?)
!:2x-3
7.
4x-2y=$
(',
e.
1)
t)
10.
!:4x +3
!=4x-l
1)
?\
y>-2x+I
1t <2x -3
9.
v
Solve by
1
10. See graph
substitution.
1. 1)
2)
SHOW WORK.
12.
2x+3y = -J
x:-!-4
1)
2)
vt-tt-))
11.
'"'J
!=-3x
12.
Solve by elimination. SHOW WORK.
13. 1)
2)
14.
4x -7y =Q/
4x +7y =lQ
1)
2)
3x-5y=-39
--47
13.
4x -5y
14.
ls.
1)
'7x+4y =-41
2)
4x -'7y = Q'7
16.
1)
2)
I2x+ 8y= 2
9x -lLy = -21
16.
17.
1)
7\
18.
3x-8y=Q
3x-8y=l
xt4Y=J
1)
2)
1a
It,
2x +8y = -74
1C
Pick two of the word problems below and circle
19.
The sum of two numbers is
Find the two numbers.
-6.
them. Then solve them.
Their difference is
SHOW ALL WORK.
-42.
?0.
A plane with a headwind (flying against the wind) flies 700 mites in 2 hours.
Returning on the same route with a tailwind takes 1:45 (= 1.75 hours). Find
the speed of the plane and the speed of the wind.
21.
Bobbought
4l(,
36
19.
24.
stamps, a mixture of 4r( andlTgstamps. Find the number of 21.
ot l7( stamps he bought if he spent $12.84.
and number
MATH 65
NAME
Test 2 Review
Simplify. Leave no negative exponents. Assume no divisor is zero. SHOW ALL WORK.
t.
x'x
?.
ax'(zx')
?.
?
-5x'(-x' )(l'-)(-+")
3.
4.
("")
.+.
-er(-z*o)'
\
I
t3
t
,t6
/
6.
1
r r\3r
-r2
(-3r'v') \-zry'
6.
)
r-
7.
7
7.
B.
-3
,
c
aR
6_r-
9.
3x
9.
10.
w
10.
11.
12.
13.
- t x-y'ta
7 4
-Lzx y
lFr
11.
Or 3 A r-A
o-o-ca-
12.
6t *-'yt
13.
g-2 x4y-3
Express each number in scientific notation.
14.
1s.
8,321,000
0.000512
14.
15.
Evaluate. Express each number in scientific notation.
16.
(5.3 x rc3[4.7 x
l0-')
16.
Find the degree of each porynomiar. Teil how many terms
17.
6xs
19.
3xoyt
-
4x2 +
-
it
contains.
|
gxu
17.
__--;
18.
_;
Add or subtract as indicated. Simplify.
rs. (-u*' +5x- l)+(x, -3x+2)
19.
zo. (t*' -7x +3)*(er' + x - a)* (-r, +zx -5)
20.
21. (-o*'+5x- l)-(r,.+3x -z)
??. 8x - (5y - x)
23. (4x +9y -Wz) - (5x -2y +32)
Simplify
if
24.
x' .r'
21.
22.
23.
possibte.
25.
x, + x,
26. ("r)"
24.
25.
?6.
?7.
(")"("')'
?8.
6xu
- xu
27.
28.
Multiply or divide as indicated. Simplify
zs.
-5xo(6x' + ax
-7)
if
possible.
30.
(x + 7{.r
-
3)
29.
30.
3r.
(e"r+a)(8x-s)
32.
(sx -e)'
31.
3?.
33.
I5xz - 4x
i;r+ 4
-32
34.
xt -216
x+6
33.
34.