Intermediate Algebra
Name
Chapter 2 Exam Review
1. S i m p j i ^
4-2(x-2y)
+ x-5y
2. Simplify.
2
1
—X + - -
5
3. Simplify.
•^l
5x + 9y-(2x-3) + 2x-7y + 4
4.
3
x+ 7;
V
Sifftfyi
0.1(;C + 80) + 0.2A--14
v\xt
t ,/.x-B
5. Solve f j ? ! ' ^ ^
- 2 J C - 7 ( - J C + 3) = 5 ( X - 4 ) - 1
6. Solve^^'s/^^ >^^^r^
5X + 4(J-2A-) = 3(1-A-)
7. Solve for x ^ r p - ^
- 2 J C - 4 = 2(-C-8)^
8. Solve for X .
'^^^^^^"^"X;
0.4JC-0.1 = 0.7-0.3(6-2;C)
O S A - J ^ J ^ - l o b V.(cr;C
^
H
A
10. Solve for A: f J
^ - O x
+ 4) = - (2x - 8)
5
11. Solve for ; c , ^
12. Solve for
Zt> I
- ^ 2 ( y + 27)
""-^ i 3 ) - i 4 - 1 2 ) = - - i ^ +
5ur< * C
;^^-3Z=;5A+30-50
-/^
-l(oK
2t - G -^u - v«c.> - 2 . U - - r l> I2i,i
r
13. Solve >.+3 = - j ( j r - 4 ) iaxy,my
form.
= mx^b
^
15. S o l v e P - 2 / + 2w forw.
14. Solve -4JC + 16>' = -32
form.
17. Given the perimeter formula for a rectangle,
find P, vv^hen/ = 2.5andw = 3.7
P = 2/ + 2w
"————^
19. Find the volume of the sphere by
using the formula. Use 3.14 as an
approximation for n.
V^^nr'-
r=6
for>', in_y = m +
^ _
16. Solve A = -h(b + B)for b .
2 R
v.-..
12-
=
18. Given the perimeter formula for a rectangle,
find / , whenP = 30and w = 6.
P = 2l + 2w
20. Given the area formula for a trapezoid, find ,
when v4 = 16.5,6, = 4, and b^=7
A = -h(b^ +b^)
21. A circular table has a circumference
of 62.5 ft. What is the diameter?
What is the radius?
Remember: C = ITO- , and use TT -3.14
22. If you took out a loan for $3500 at a 5% simple
interest rate, how quickly would you have to
pay back the loan to only have to pay $437.50
in interest? Remember: i = prt
(o3h
2.
23. The area of a triangular road sign is
70 feet squared. If the base of the
sign measures 14 feet, what is the
height of the sign? The area of a
24. The distance from Louisville to Dallas is 819
miles. If you drove 63 mph, how long will it
take?
Remember:
d-rt
triangle is A = -bh
= Itr61
25. In 1965, women made up 1.2% of the U.S. military. With an increase at the rate of 0.4% per year, in which
year will women make up 17.2% of the military?
let X ^ ^ * ' ^ " ^
^''^^
26. You are choosing between two long-distanceTefepnOne plans. One plan has a monthly fee of $15 with a
charge of $0.05 per minute. The other plan has a monthly fee of $5 with a charge of $0.07 per minute. For
how many minutes of long-distance calls will the costs for the two plans be the same?
Is
27. After a 20% price reduction, a cordless phone sold for $48. What was the phone's price before the
reduction?
X=GO
28. A salesperson earns $300 per week plus 5% commission of sales. How much must be sold to earn $800 in
YiLX X =
29. In a new development, 50 one- and two-bedroom condominiums were sold. Each one-bedroom
condominium sold for $120 thousand and each two-bedroom condominium sold for $150 thousand. If
sales totaled $7050 thousand, hev^ many of each type of unit was sold?
30. A chemist needs to mix a solution that is 34% silver nitrate with one that is 4% silver nitrate to obtain 100
milliliters of a mixture that is 7% silver nitrate. How many milliliters of each of the solutions must be
31. At a college production of Evita, 400 tickets were sold. The ticket prices were $8, $10, and $12, and the
total income from ticket sales was $3700. How many tickets of each type were sold if the combined
number of $8 and $10 tickets sold was 7 times the numberi)f $12 tickets sold?
32. Company A charges $750 plus $20 for each widget. Company B charges $900 plus $12.50 for each
widget. How many widgets would it tak^ for both companies to cost the same?
33. How many ounces of 20% and 90% alcohol should you mix together to obtain 14 ounces of 40%
alcohol?
34. If French roast coffee sells for $7.50 per pound and vanilla hazelnut coffee sells for $11.50 per pound,
how many pounds of vanilla hazelnut should youjaix with 12 pounds of French roast to get a blend that
is sold for $10 per pound?
.
SLQ)
,
\. ^
35. Say you were famous and the paparazzi were chasing you. You re runnmgl 2 miles anTiOur, and
they're rurming 10 miles an hour. You get to your house, and they are 1 mile behind. How long did it
take to get home?
Rate
Time
Distance
You
Paparazzi
X
X
36.
Two cars are 225 miles apart. They start traveling towards each other at the same time, but one
car is going 5 miles an hour faster than the other. If it took 3 hours for the cars to pass each
other, what was each car's rate?
Rate
Time
Distance
X
37. Solve, express your answer in interval notation,
and graph the solution
(-CO
"5*\
-8(jc-5)-(2-7;c)>4
39. Solve, express your answer in interval notation, and
graph the solution.
,, / t \
3(2 - .x) - 3x < 10 - 6;c
C^^/-^)
n
I
^ f t
r
m
3
5x:
38. Solve, express your answer in interval notion, and
graph the solution.
^ | ^i^*^^
2(4x-l)>3;c-3(jt-2)
40. Solve, express your answer in interval notation, and
i,'
graph the solution
>—i r ^ X / - \
^.(^-5)<^(6-2x) + 8
4
41. Solve the inequality, express your answer in interval notation,'^^d graph the solution. \.
5x + 8 < - 7 or -3JC + 8 < - 1 0
-3
42. Solve the inequality, express your answer in interval notation, and graph the solution.
4*
2 ; c - l < 3 and 3 ; c - / > l
\.
>2.
3
2.
K<1
43. Solve the inequality, express your answer in interval notation, and graph the solution.
14<3JC + 5<20
vi
I
(^r \I 1'^
I I i>
3
a
s
3
44. Solve and express your answer in interval notation,
a) |x + 2| + 9 < 1 6
\x^2\<^
i^^ry
C^ | ; ^ b ) i x - 2 , ^ 4 . 5
>^^^_
r : ^ ^
^^"-^^^
——
d)
c)
x^4\
3x^
9
—-^
^^-"^
>
45. Solve the foUowirif
b) |4y + 3| = |4y + 5|
a) | 2 y - 6 | = | 1 0 - 2 y |
3-5
• ^ W ^ ^
c) | x - 3 | < -2
;
^
)
H e ^C\V3S\c^A
d) |x + 4| > -12
V