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MA08 Pre-Algebra OPTIONAL EXTRA CREDIT
1st Semester Review
Lincoln High School has 429 freshmen, 396 sophomores, 503 juniors,
and 367 seniors.
1)
Using the above information, what is the best estimate for the total number of
students who attend Lincoln High School?
2)
Using the above information, about how many more freshmen and sophomores
are there than juniors and seniors at Lincoln High School?
3)
What is the simplified form of the following 9  (16  5)  2  2 2  2 ?
4)
What is the value of the following expression if a = 4, b = 5, and c = 6?
5)
Which correctly replaces the
with <, >, or = ?
-0.4
A
<
B
=
C
>
MPS 2011 / MA08 1st Semester Review
 11
7
1
6)
Which correctly orders –2.7, 3 5 , 2 8 , 3 9 from greatest to least?
1
A
2 8 , 3 5 , 3 9 , –2.7
B
3 5 , 3 9 , 2 8 , –2.7
C
3 9 , 3 5 , –2.7, 2 8
D
3 5 , 3 9 , –2.7, 2 8
E
none of the above
7
1
1
1
1
1
1
1
7
1
1
7
7
7
Write each number in scientific notation.
7)
2,825,000
8)
0.0000002447
9)
Are whole numbers always, sometimes, or never irrational numbers?
A
sometimes
B
always
C
never
MPS 2011 / MA08 1st Semester Review
2
Tamara works in the gift-wrapping department of a retail store. The table shows
the number of gifts the department wrapped between 3:00 and 4:45 P.M.
Time
Gifts Wrapped
3:00
0
3:30
34
4:05
56
4:45
109
10)
What is the rate of change in gifts wrapped per minute between 3:30 and 4:05
P.M.?
11)
During which time period did the department’s gift-wrapping rate increase the
fastest?
A
3:00 – 3:30
B
3:30 – 4:05
C
4:05 – 4:45
D
the rates were all about the same
y
12)
What is the slope of the line?
(Š1, 0)
x
(1, Š4)
Mandy and Juanita have each opened a
bank account to save money for a camping
trip next summer. Their savings account
balances over the past few months are
shown in the graph.
500
Balance
450
(5, 450)
400
Juanita
350
M andy
300
250
13)
What does the slope of each line represent?
A
the total amount saved to date
B
the cost of the camping trip
C
the beginning balance of the account
D
the amount saved each month
MPS 2011 / MA08 1st Semester Review
(0, 250)
(3, 250)
200
150
100
(0, 100)
50
1
2
3
4
5
Months
3
14)
What would the slope of Mandy’s line be if she saved an additional $12 each
month?
15)
What is 60% of 76?
16)
What percent of 4000 is 1200?
A
48%
B
30%
C
D
17)
0.3%
420 is 25% of what number?
What is the percent of change? Round to the nearest tenth if necessary. State whether
the percent of change is an increase or a decrease.
18)
original: 30 new: 40
19)
original: 30 new: 18
Find the simple interest to the nearest cent
20)
$150 at 6.5% for 3 years.
21)
$2,000 at 12% for 18 months.
22)
If Margo placed $1,014 in a savings account for 2 years, how much interest
would she earn if the simple interest rate is 3.75%?
A
$76.05
B
$7,605
C
$76,050
D
$760.50
MPS 2011 / MA08 1st Semester Review
4
Number of Classmates
Compact Discs Owned by Classmates
10
9
8
7
6
5
4
3
2
0
50
1
to
60
0
0
50
40
1
to
40
0
30
1
to
30
20
to
to
20
1
to
0
10
1
10
0
0
1
Number of CDs Owned
23)
How many classmates own more less than 300 CDs?
MPS 2011 / MA08 1st Semester Review
5
Mathematics Achievement of 8th Grade Students in U.S. in 1996
Number of States
20
18
16
14
12
10
8
6
4
0
N
A
to
2
21 0
to
4 1 40
to
6 1 60
to
80
2
24)
Percent of Students Scoring At or Above Proficient Level
Source: The World Almanac
In how many states did less than 60% of the students score proficient or better?
Solve each problem by writing and solving an equation.
25)
Amelia decided to order breadsticks and a pizza. The pizza cost $10.50 and
each breadstick costs $0.75. If Amelia’s bill was $13.50, how many breadsticks
did Amelia order?
26)
You and two of your friends go to the movies. Each ticket costs $7.50. You share
the cost of the popcorn. If each person pays $9.05, how much was the popcorn?
27)
Student Council is selling T–shirts. The T–Shirt Shack charges a $250 printing
fee and $8 per T–shirt. If Student Council charges $10 per T–shirt, how many T–
shirts must Student Council sell to break even?
MPS 2011 / MA08 1st Semester Review
6
Graph each inequality on a number line.
28)
j≤0
29)
3>n
30)
Demi and Marcus decided to equally share the cost of a new tent. At most, each
is willing to pay $47.00. Write and solve an inequality to determine the most they
can spend on the new tent.
31)
What is the function value of f(5) if f(x) = –7x + 3?
MPS 2011 / MA08 1st Semester Review
7
32)
Which is the graph of. y = 2x – 3?
A
y
5
B
4
y
3
2
5
1
4
3
Š5
Š4
Š3
Š2
Š1
Š1
1
2
3
4
5
x
2
1
Š2
Š3
Š4
Š5
Š4
Š3
Š2
Š1
Š1
Š5
Š2
1
2
3
4
5
x
1
2
3
4
5
x
Š3
Š4
Š5
C
y
5
D
4
y
3
2
5
1
4
3
Š5
Š4
Š3
Š2
Š1
Š1
1
2
3
4
5
x
2
1
Š2
Š3
Š4
Š5
Š4
Š3
Š2
Š1
Š1
Š5
Š2
Š3
Š4
Š5
MPS 2011 / MA08 1st Semester Review
8
33)
1
Graph each equation using the slope and the y–intercept. y = - 3 x + 2
A
B
y
Š5
Š4
Š3
Š2
y
5
5
4
4
3
3
2
2
1
1
Š1
Š1
1
2
3
4
5
Š5
x
Š4
Š3
Š2
Š1
Š1
Š2
Š2
Š3
Š3
Š4
Š4
Š5
Š5
C
1
2
3
4
5
x
1
2
3
4
5
x
D
y
Š5
Š4
Š3
MPS 2011 / MA08 1st Semester Review
Š2
y
5
5
4
4
3
3
2
2
1
1
Š1
Š1
1
2
3
4
5
x
Š5
Š4
Š3
Š2
Š1
Š1
Š2
Š2
Š3
Š3
Š4
Š4
Š5
Š5
9
34) Graph each equation using the slope and the y–intercept. y = 4x – 1.5
A
B
y
Š5
Š4
Š3
Š2
y
5
5
4
4
3
3
2
2
1
1
Š1
Š1
1
2
3
4
5
Š5
x
Š4
Š3
Š2
Š1
Š1
Š2
Š2
Š3
Š3
Š4
Š4
Š5
Š5
C
1
2
3
4
5
x
1
2
3
4
5
x
D
y
Š5
Š4
Š3
MPS 2011 / MA08 1st Semester Review
Š2
y
5
5
4
4
3
3
2
2
1
1
Š1
Š1
1
2
3
4
5
x
Š5
Š4
Š3
Š2
Š1
Š1
Š2
Š2
Š3
Š3
Š4
Š4
Š5
Š5
10
MPS 2011 / MA08 1st Semester Review
11