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Algebra I –Wilsen
Unit 5: Exponents
Day Eleven
BLOCK 2
Review for Test
I.
Find the value of each, using your calculator. Round everything correctly to two
decimal places.
1.
72
2.
( –4 )3
3.
4.2 3
4.
−2 6
5.
⎛ 3⎞
⎜⎝ ⎟⎠ leave your answer as a fraction
4
7.
( –2 )3 ( 3)4 x 3
2
Show work for #6 and #7:
6.
–4 3 – ( –2 )
2
+ ( –3)
4
Find the value of each, using your calculator. Round everything correctly to two decimal
places.
8.
49
9.
3
216
1
25
10.
11.
4
leave your answer as a fraction
16
leave your answer as a fraction
81
Write out each of the following first longhand, and then give a simplified answer.
12.
a 2 xax 3
( –7x y )( 3x y )( xyxy )
2
4
3
written out:
written out:
simplified:
simplified:
Simplify, using the distributive property:
14.
13.
x ( x2 + y)
4
II.
Find all the factors of each number.
Example: The factors of 16 are:
1 x 16
2x8
4x4
15)
22
16)
15
17)
87
18)
99
19)
72
20)
74
III.
Break down each number using a factor tree, and then write the answer as
powers of prime numbers.
Example:
The number 24 can be broken as
which means that 24 = 2 3 • 3
21)
35
22)
__________________
23)
66
____________________
24)
__________________
25)
81
__________________
40
72
____________________
26)
54
____________________
IV.
Find the GCF by making a factor tree for both numbers, and then writing
down the factors that are shared.
Example: The factor trees for 68 and 42 are
so the factors that are shared are
2 and 7 and the GCF is 14
27)
24 and 28
28)
GCF = ___________
29)
30 and 20
GCF = ____________
30)
GCF = ___________
31)
54 and 27
GCF = ___________
39 and 30
25 and 55
GCF = ____________
32)
66 and 30
GCF = ____________
V.
Factor out the greatest common factor by undoing the distributive
property. CHECK YOUR WORK BY DISTRIBUTING YOUR
ANSWER TO SEE YOU GET THE ORIGINAL BACK AGAIN.
33)
16x 2 + 20
34)
___________
____________
check:
35)
4n 3 − n
check:
36)
___________
16x + 20x 4
___________
check:
9ab − 6a 2b
____________
check:
37)
5x – 10x 3
check:
38)
5x 7 − x 3
____________
check: