Algebra AB/CPFirst Nine Weeks Exam Review
Name________________________________
Date_________________________________
Perform the indicated operations given
matrices A, B, and C.
Find each sum or difference. Write your
answer in standard form.
5. (
]
A=[
)
(
)
3y3+4y2-y+3
6. Find the sum of (
(
).
]
B=[
) and
-2x2-2x-4
]
C=[
7. (
(
)
-x2-6x+8
1. 2A+B
-4
11
-3
)
17
2
-6
8. Find the difference of (
(
).
) and
P3+16p-10
2. B-A
Solve.
9.
5
8
0
a. Solve for r.
-4
-4
9
r=
b. If the circumference of a circle is
21.5 cm, what is the radius?
3. -5C
-40
-50
3.42 cm
15
-25
10.
; Solve for n.
n=
4. C+A
11.
; Solve for k.
No solution
k = 55j +2
12. (
)
; Solve for q.
13.
; Solve for t.
t= Xs
14.
; Solve for j.
j > -10p + 2k
15.
20. Susan had a $10 coupon for the purchase
of any item. She bought a coat that was on
sale for ½ its original price. After using the
coupon, Susan paid $125 for the coat
before taxes. What was the original price of
the coat? Write an equation for the
problem. Then solve the equation.
; Solve for n.
$270.00
16.
a. Solve for w.
b. If a swimming pool has a length of
24 ft, a depth of 5 ft, and a volume of
1440 ft3, what is the width of the
pool?
w= 12 ft
17. What is the length of a rectangular parking
lot with an area of 966 ft2 and a width of
23ft?
42 feet
18. Karis, Jackson, and Tara all collect, sell,
and trade marbles. Jackson gave Karis 5
marbles. In return, Karis gave Jackson 10
marbles. Then, Karis sold half of her
marbles to Tara. If Karis has 47 marbles in
the end, how many did she start with? Write
an equation and solve.
(
)
99 marbles
19. At a certain cheerleading competition, the
maximum time per team including set up is
3 minutes. The Ridgeview High School
squad’s performance time is 2 minutes and
34 seconds. How much time does the
squad have left for their set up? Write an
equation to model the situation and solve.
26 seconds
21. While gone to a conference in Washington,
D.C., Mrs. Holiday and Mrs. Anthony decide
to rental bicycles to tour the city. The cost
of renting a bicycle is $40 for the first 5
hours and $5 for each additional hour. They
also must rent helmets for a flat fee of $2
each. If their individual bills were $57, how
many additional hours did Mrs. Holiday and
Mrs. Anthony rent the bicycles?
40 + 5x +2 = 57 x= 3 hours
22. Adriana has a budget of $115 for faxes.
The fax service charges $25 to activate an
account and $0.08 per page to send faxes.
How many pages can Adriana fax and stay
within her budget? Write an inequality to
model the situation and solve.
23. The TLH Teens for Change club is
sponsoring the AIM canned food drive.
They can collect both cans and money.
They have already collected 1326 cans and
$314. If each dollar raised counts as 5
cans, how many more cans would they
have to collect to break last year’s record of
10,000 cans. Write an inequality to model
the situation and solve.
1326+5(314)+x > 10,000
x> 7104 cans
24. Your test grades are 79, 86, 83, and 89.
What would you need to make on your last
test to have a test average of at least an
85? Write an inequality and solve.
30. There are about 800 grocery stores in SC.
This number is increasing by about 8
grocery stores per year. Write an inequality
that represents the number of years that it
will take for the number of grocery stores to
exceed 1000. 8x+800> 1000
25. Which of the following is incorrectly
classified?
.3 -Real Number
 6- Integer
√17 - Rational Number
√5 - Irrational Number
Solve the following equations and inequalities
for the variable.
31.
x=
26. Simplify using Distributive Property.
 a) -3(x - 4) – 10x
-13x + 12
32.
b)  -3t -(7 - 3t)
-7
27. What is the value of -4cb + 10b, if b=-3 and
c=2?
44
33.
34.
b=28
35.
h = -44
36.
t=20
37.
x=-24
28. Evaluate.
a.
(
)
(
)
(
b.
)
-16
29. Solve the inequalities and graph.
a) -x + 4 ≥ 10
-7
-6
-5
b) x - 5 < 6
10
11
12
38.
46.
What number is 75% of 20?
39.
15
y= -3
47. A ticket for the Westside vs. TLH
Football game is $6 if you purchase at
school and $8 if you purchase at the
game. The school price is what
percent of the game price?
40.
j<3
75%
41.
y= -45
42.
(
48. Find the area of a triangle with a
height of 3ft and base length of 11
in.
)
18=6
no solution
43. A basketball is thrown into the air at t=0.
The height of the ball at any given time is
given by the equation h(t)=t2-2t+7. How
high was the ball when it was thrown?
49. Find the circumference of a circle
with a radius length of 6 cm.
37.69 cm
h=7
44. The cost of having an all-you-can eat yogurt
party at YoGo’s is given by the equation
C(p)=5p+30, where p represents the
number of people at the party. If 15 people
attend the party, how much will it cost?
50. Find the solution set given the
replacement set. Construct a table, fill
it in completely, and write the solution
set in the space provided.
(
)
{
$105.00
45. Label the following as the commutative
property or associative property.
a. (2+3)+4=2+(3+4)
Associative
b.
7
7
9  9
8
8
Commutative
3
6
9
12
4
5
6
7
{4,5,6,7}
}