# Unit 2 Test ```Unit 2 Test-Powers &amp; Exponent Rules
Ms. Martel
Name:_______________________
/ 36 marks
1) A recycling company breaks down and delivers recycled plastics. The
recycled plastic is packaged in boxes that are cubes with edge length
30cm. The cost of the plastic is \$12/m3 , and delivery costs \$15 per 30km. One
customer orders 200 boxes of plastic and he lives 120 km from the supplier.
This expression represents the cost, in dollars:
15 x 120
+ 303 &divide; 156 x 12 x 200
30
How much doe the customer pay? (3 marks)
2) Copy each statement. Insert brackets to make each statement true.
(3 marks)
a. 20 &divide; 2 + 2 x 22 + 6 = 26
b. 20 &divide; 2 + 2 x 22 + 6 = 8
c. 20 &divide; 2 + 2 x 22 + 6 = 120
Unit 2 Test-Powers &amp; Exponent Rules
3) Express as a single power. (4 marks)
a. (−4)3 &divide; (−4)2 x (−4)10
b.
4 3 &times; 45
42 &times; 46
4) Simplify, then evaluate. (4 marks)
a. 1011 − 103 &times; 106
b.
105
103
+ 102
5) Evaluate. (6 marks)
a. 23 &times; 22 − 25 &times; 2
Ms. Martel
Unit 2 Test-Powers &amp; Exponent Rules
b. (−2)4 [(−2)5 &divide; (−2)3 ] + (−2)4
c. −24 (26 &divide; 22 ) − 24
6) Simplify then evaluate each expression. (6 marks)
a. (33 &divide; 32 )3 + (84 &times; 83 )0
b. (62 &times; 60 )3 + (26 &divide; 24 )3
c. (105 &divide; 102 )2 + (33 &divide; 31 )4
7) Simplify then evaluate each expression. (4 marks)
a. [(−2)3 &divide; (−2)2 ]2 − [(−3)3 &times; (−3)2 ]2
Ms. Martel
Unit 2 Test-Powers &amp; Exponent Rules
b. [(−2)3 &times; (−2)2 ]2 + [(−3)3 &times; (−3)2 ]2
8) Simplify, then evaluate each expression. (6 marks)
a. (6 &times; 8)5 + (53 )2
b. [(−2)4 ]3 + [(−4)3 ]2 − [(−3)2 ]4
c. [(−5) &times; (−4)]3 + [(−6)3 ]2 − [(−3)9 &divide; (−3)8 ]5
Ms. Martel
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