NAME:
ALGEBRA ONE
QUARTER 3 4-WEEK REVIEW
PERIOD:
MONOMIAL EXPRESSIONS-MULTIPLICATION AND DIVISION
Simplify each expression below.
A.
(3a 5b5 )2
I.
8( x 4 y 2 z 3 )0
B.
6x 6
 24 x 3
J.
(3x0 )(5x7 )
C.
( xy 2 z 4 ) 6
K.
( x3 )4 ( x 8 )
D.
(4 x 2 y 4 )2
L.
(3) 2  (3) 3
E.
25 x8 y10 z 2
5 x8 y 3 z
M.
( 5x 3 )(4x 6 )( x 4 )
F.
(4 y 3 z 7 )(3 y 5 z 5 )
N.
G.
(3x 2 ) 3 (4 xz 4 ) 2
H.
3x 3
O.
P.
1
15 x 4 yz 2
5 x 2 yz
1
4 y 9
(4a)(2a3 )3
SCIENTIFIC NOTATION – FILL IN THE CHART
Standard Form
9,750,000
Scientific Notation
8.6 x109
0.00358
SCIENTIFIC NOTATION OPERATIONS:
A.
B.
C.
(
)
(
)
(
(
(
)
)
)
D.
(
)(
E.
(
)
F.
(
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SIMPLIFYING RADICAL EXPRESSIONS
Simplify each square root and cube root below.
A.
81a 4b15
D.
196m19n3
B.
400 x 7 y10
E.
25a
C.
81a9b5c8
F.
72x 3
2
)
)
Solve each equation below. Show all steps. (one answer)
A.
3 m4 9
D.
6 5x  3  42
B.
4  3x  9  5
E.
2  x  18
C.
3 x  7  8  20
F.
40  8 x  8
Solve each equation below. Show all steps. (two answers)
A.
2 y 2  288
D.
5x 2  2  123
B.
2x 2  72  0
E.
 2(3x  5)2  4  28
C.
(4 y  5)2  4
F.
x 2  4  125
3
DISTANCE AND MIDPOINT
Find the distance between each pair of points below. Then find the midpoint of the segment connecting
them.
ENDPOINT OF THE SEGMENT
DISTANCE BETWEEN
MIDPOINT OF SEGMENT
(LENGTH OF SEGMENT)
1. (-8, 12) and (-2, -1)
2. (5, 3) and (5, -17)
3. (-3, 2) and (8, 12)
4. (-4, 8) and (3, -2)
PYTHAGOREAN THEOREM: Find the missing side
4
Word Problems:
1. Write three different expressions that are equivalent to
2. The table shows the number of internet users in selected countries in 2001.
Country
Internet Users
Albania
Jamaica
Marshall Islands
Romania
A. How many times greater is the number of users from Jamaica than the number of users
from Albania?
B. How many times greater is the number of users from Romania than the number of users
from Albania?
3. The velocity v of a free-falling object (in feet per second), the height h in which it falls (in feet), and
the acceleration due to gravity, 32 feet per second squared, are related by the function
.
√
A. Find the height from which a tennis ball was dropped if it hits the ground with a velocity of
16 feet per second.
B. How much higher than the ball in part (a) was a tennis ball dropped from if it hits the
ground with a velocity of 25 feet per second?
4. On a map’s coordinate grid, Walt City is located at (-1, -3) and Koshville is located at (4, 9).
A. How long is a train’s route as the train travels along a straight line from Walt City to
Koshville? (One map unit equals one mile.)
B. Find the midpoint of the two cities in problem number one.
5. Draw a picture to help solve this problem. A building has a height of 26 feet. A 34 foot ladder is
being placed next to the building. How far away from the building does the ladder need to be in order
for the ladder to touch the top of the building?
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