2. Evaluate each expression: (5 marks) b) (-2)6 c) 2-5 3. Simplify each expression: (6 marks)...

 

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2. Evaluate each expression: (5 marks) b) (-2)6 c) 2-5 3. Simplify each expression: (6 marks) 125 b) (3a³b³) (4ab²)² 4. Factor each expression completely: (6 marks) a) x* + 27x b) 3x³2-9x¹2+ 6x-12 5. Simplify the rational expression: (9 marks) x+2 x-2x-15x²-x-12 b) = + x²-6x+5 x²-1 (3x³/2y³) 3⁰ -2 c) x³y - 4xy 6. If you invest $4000 at 4% interest per year, how much additional money must you invest at 5% annual interest to ensure the interest you receive each year is 42% of the total amount invested? (3 marks) 7. You earn $7.50 an hour at your job, but if you work more than 35 hours in a week, you are paid 1 times your regular salary for the overtime hours worked. One week, your gross pay is $352.50. How many overtime hours did you work that week? (3 marks) 8. A pilot flew a jet from Montreal to Los Angeles, a distance of 2500 miles. On the return trip, the average speed was 20% faster than the outbound speed. The roundtrip took 9 h 10 min. What was the speed from Montreal to Los Angeles? (4 marks) 2. Evaluate each expression: (5 marks) b) (-2)6 c) 2-5 3. Simplify each expression: (6 marks) 125 b) (3a³b³) (4ab²)² 4. Factor each expression completely: (6 marks) a) x* + 27x b) 3x³2-9x¹2+ 6x-12 5. Simplify the rational expression: (9 marks) x+2 x-2x-15x²-x-12 b) = + x²-6x+5 x²-1 (3x³/2y³) 3⁰ -2 c) x³y - 4xy 6. If you invest $4000 at 4% interest per year, how much additional money must you invest at 5% annual interest to ensure the interest you receive each year is 42% of the total amount invested? (3 marks) 7. You earn $7.50 an hour at your job, but if you work more than 35 hours in a week, you are paid 1 times your regular salary for the overtime hours worked. One week, your gross pay is $352.50. How many overtime hours did you work that week? (3 marks) 8. A pilot flew a jet from Montreal to Los Angeles, a distance of 2500 miles. On the return trip, the average speed was 20% faster than the outbound speed. The roundtrip took 9 h 10 min. What was the speed from Montreal to Los Angeles? (4 marks)

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