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Unit 2 Test-Powers & 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 ÷ 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 ÷ 2 + 2 x 22 + 6 = 26 b. 20 ÷ 2 + 2 x 22 + 6 = 8 c. 20 ÷ 2 + 2 x 22 + 6 = 120 Unit 2 Test-Powers & Exponent Rules 3) Express as a single power. (4 marks) a. (−4)3 ÷ (−4)2 x (−4)10 b. 4 3 × 45 42 × 46 4) Simplify, then evaluate. (4 marks) a. 1011 − 103 × 106 b. 105 103 + 102 5) Evaluate. (6 marks) a. 23 × 22 − 25 × 2 Ms. Martel Unit 2 Test-Powers & Exponent Rules b. (−2)4 [(−2)5 ÷ (−2)3 ] + (−2)4 c. −24 (26 ÷ 22 ) − 24 6) Simplify then evaluate each expression. (6 marks) a. (33 ÷ 32 )3 + (84 × 83 )0 b. (62 × 60 )3 + (26 ÷ 24 )3 c. (105 ÷ 102 )2 + (33 ÷ 31 )4 7) Simplify then evaluate each expression. (4 marks) a. [(−2)3 ÷ (−2)2 ]2 − [(−3)3 × (−3)2 ]2 Ms. Martel Unit 2 Test-Powers & Exponent Rules b. [(−2)3 × (−2)2 ]2 + [(−3)3 × (−3)2 ]2 8) Simplify, then evaluate each expression. (6 marks) a. (6 × 8)5 + (53 )2 b. [(−2)4 ]3 + [(−4)3 ]2 − [(−3)2 ]4 c. [(−5) × (−4)]3 + [(−6)3 ]2 − [(−3)9 ÷ (−3)8 ]5 Ms. Martel