Name ___________________________________________
Date_______________
Expressions
Topic1.2 -Properties of Exponents
Mini Assessment
1. Cung Pí simplifies
4𝑚 ∙45
4𝑛
to 4(𝑚−𝑛+5) .
Thuy Lee simplifies the same expression but gets a different answer, 4𝑚(𝑛−5).
Part A: Who is correct?
A
B
C
D
Cung Pí is correct.
Thuy Lee is correct.
Both of them have equivalent expressions.
Neither Cung or Thuy are correct.
Part B: Which properties of exponents did they have to use while simplifying the
expression? Select all that apply.







Negative Exponent Property
Product of Powers Property
Quotient of Powers Property
Power of a Product Property
Zero Exponent property
Power of a Power Property
Power of a Quotient Property
2. Consider the expression below.
6
𝑝0 ∙ 𝑞 −2
( −3 2 2 )
(𝑞 ∙ 𝑞 )
Use the properties of exponents to prove the expression is equivalent to 1.
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Expressions
Topic 1.3 - Operations with Rational and Irrational Numbers
Mini Assessment
3. Consider the operations below and choose whether the result can be rational,
irrational, or both.
Expressions
Rational
3 + √3

2 − √2

(4 − √5)(4 + √5)

Irrational



√6(2√2)


42 + 273


(2 + √2)(2 − √2) − √7


2√3
1
1
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Expressions
Topic1.4 - Radical Expressions and Expressions with Rational Exponents
Mini Assessment
9
4. Determine whether each of the following expressions is equivalent to 𝑥 5 .
Expression
Yes
No
o
o
o
o
(( √𝑥) )
o
o
√𝑥 59
o
o
o
o
o
o
o
o
5
√𝑥 9
9
√𝑥 5
5
3 3
5
5
5
5
√𝑥 3 ∙ √𝑥 3
√𝑥 4 ∙ √𝑥 5
4
( √𝑥 )
5
( √𝑥 3 )
0
−3
5. Consider the equation below and determine the value of 𝑘.
𝑘
9 27
(√7 )
−𝑘
15 45
3
3
= 72 ∙ 72
(√7 )
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