Pre-Algebra Review: Expressions and Exponents
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Pre-Algebra
Pence 2014
Expressions
Common Assessment
Review
Write (w)(w)(w)(w)(w)(w) using
exponents
Answer: w
6
Evaluate
2m
2
m=3
2(3)
2
18
Which symbol makes this statement
true?
(-3)
4
? -3
4
Answer: >
Evaluate
3 +2(5-2)
2
+8
Answer:
3 +2(3)
2
+ 8
3 + 2(9) + 8
3 + 18 + 8
29
9
4
* 9
4
9
8
Evaluate
1
4
_
(
)
3
Answer 4
5
4
7
4
2
Answer m
4
m
5
m
Answer 5
-6
1
5
6
Write
as an expression
using a negative exponent
Evaluate b
-3
if b=3
(K
5
)
11
K
55
(2m
5
)
-4
(4a
3
b)(-7ab
5
)
-28a
4
b
6
Which expression is the same as
81m
8
d
6
A.
(
9
m
6
d
4
)
2
B.
(
9
m
4
d
3
)
2
C.
(
6
m
5
d
3
)
3
Express 1,450,000 in scientific
notation
1.45 x 10
6
Express 6.17 x 10
5
in standard form
617,000
7.5 x 10
-4
in standard form
0.00075
Chose a number that is greater than
2.7 x 10
4
A.
26,000
B.
1.4 x 10
5
C.
3.1 x 10
-6
D.
2.5 x 10
4
Express in scientific notation
(8.8 x 10
2
)(2.25 x 10
-2
)
1.98 x 10
1
Evaluate (1.25 x 10
4
) - 9,400
Express the answer in scientific
notation
3.1 x 10
3
Evaluate 5p
0
Answer 5
Answer -6d
5
e
6
Which of the following would be a
reasonable weight of a pencil?
List the animals’ weights from least to
greatest
Which animal is about 10 times lighter
than a right whale?
Answer: White rhino
About how many times heavier is the
blue whale than the African elephant?
Estimate the combined weight of the blue whale,
fin whale, and right whale. Express your answer in
standard notation.
This pre-algebra review covers topics such as evaluating expressions, working with exponents, using scientific notation, and standard form notation. Examples and answers help reinforce understanding of fundamental algebraic concepts.
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Presentation Transcript
Expressions Common Assessment Review Pre-Algebra Pence 2014
Write (w)(w)(w)(w)(w)(w) using exponents Answer: w6
Evaluate 2m2 m=3 2(3)2 18
Which symbol makes this statement true? (-3)4 ? -34 Answer: >
Evaluate 3 +2(5-2)2+8 Answer: 3 +2(3)2+ 8 3 + 2(9) + 8 3 + 18 + 8 29
94* 94 98
_ ( )3 1 4 Evaluate Answer : 1 64
47 42 Answer 45
m5 m Answer m4
1 56 Write using a negative exponent as an expression Answer 5-6
Evaluate b-3 if b=3 A. -9 B. -1 27 1 27 C.
(K5)11 K55
(2m5)-4 1 16m20
(4a3b)(-7ab5) -28a4b6
Which expression is the same as 81m8d6 A. (9m6d4)2 B. (9m4d3)2 C. (6m5d3)3
Express 1,450,000 in scientific notation 1.45 x 106
7.5 x 10-4 in standard form 0.00075
Chose a number that is greater than 2.7 x 104 A. 26,000 B. 1.4 x 105 C. 3.1 x 10-6 D. 2.5 x 104
Express in scientific notation (8.8 x 102)(2.25 x 10-2) 1.98 x 101
Evaluate (1.25 x 104) - 9,400 Express the answer in scientific notation 3.1 x 103
Evaluate 5p0 Answer 5
Evaluate 36?10?12 6?5?6 Answer -6d5e6
Which of the following would be a reasonable weight of a pencil? A. 1 x 10 2lb B. 1 x 102 lb C. 1 x 1020 lb D. 1 x 10 20 lb
A. 1 x 102lb B. 1 x 102 lb C. 1 x 1020 lb D. 1 x 10 20 lb
List the animals weights from least to greatest Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Answer: 7.94 x 103,1.44 x 104, 8.82 x 104, 9.92 x 104, 2.87 x 105 Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103
Which animal is about 10 times lighter than a right whale? Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103 Answer: White rhino
About how many times heavier is the blue whale than the African elephant? Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Answer: ???? ? ??? ??????? ???? ??? = 2.87 ? 105 Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103 1.44 ? 104= 1.99 ? 101 ????????????? 2 ?101 ?? 20 ?????
Estimate the combined weight of the blue whale, fin whale, and right whale. Express your answer in standard notation. Animals African Elephant Blue Whale Fin Whale Right Whale White Rhinoceros Answer: 2.87 x 105 + 9.92 x 104+ 8.82 ? 104 = 474, 400 lbs = approximately 500,000lbs Weight (pounds) 1.44 x 104 2.87 x 105 9.92 x 104 8.82 x 104 7.94 x 103
