Lesson 2 review: Algebra

• log ₂ 6 = 64

• log ₆ 2 = 64

• log ₂ 64 = 6

• log ₆₄ 6 = 2

• -3a-3b

• -3a-5b

• -2a

• 0.8863

• 4

• -0.5

• 0.8408

Carla is framing in a ractangle sand box in her back yard.  She has set aside an area of 24 square feet for the sandbox.  The sandbox is to be 1.5 times longer than it is wide.  What is the length of the longer side for the sandbox?

• 16 ft

• 6 ft

• 4 ft

• 4.7 ft

Solve the following and check your solutions: 14x - 8(9 + 2x) = 322

• A) 197

• B) 125

• C) -98.5

• D) -197

• E) -125

Luxury furniture is promoting a no HST (13%) event for the fall sale. What is the actual selling price for the Sofa before tax shown on your receipt, if the ticket price of the sofa is $795.00?

• A) $795.00

• B) $6,115.38

• C) $103.35

• D) $898.35

• E) $703.54

Sobeys sells fruit trays consisting of pineapple and melons. The manager of the fruit department obtains pineapples at a wholesale price of $2.50 per kg, and melons at $1.85 per kg. He is required to produce 10 kg of the mixed fruit. What is the maximum weight of pineapple that he can put in the mix in order to have an effective wholesale cost no greater than $2.00 per kg?

• A) 2.31 kg

• B) 7.69 kg

• C) 4.56 kg

• D) 4 kg

• E) 5.41 kg

Sleep Inc. reduced the price of the Sealy mattress by 20% for a spring sale. What was the regular price of the mattress, if the sale price is $649.95?

• A) $129.99

• B) $779.94

• C) $3,249.75

• D) $812.44

• E) $649.95

Transpipe owns 47% ownership stake in BP. Cameo owns a 29% stake in the BP. Suppose Transpipe sells 62.5% of its stake for $47 Million. If Comeo uses that transaction as the basis for calculating the value of its own 29% position, what value will Cameo obtain?

• A) $18.1 Million

• B) $46.4 Million

• C) $16 Million

• D) $47 Million

• E) $29 Million