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MCR 3U1 – MS. CONRAD Unit 2: Equivalent Algebraic Expressions Name: KN Date: /20 App /15 TH /10 CM Knowledge /8 10 Marks 1. Expand and simplify the following polynomials. (6 Marks) a) 3[5n (2 3n)] 2[5(2n 1) 4] b) (2a 1)( a 5)( 2a 1) 2. Factor the following. (4 Marks) a) 6sm 9tm 4sn 6tn b) (m n) 2 (2m 3n) 2 Application 15 Marks 3. An object has mass m (4 x 2 9 y 2 ) and volume v where d 3xy 2 x . Determine its density d, 2 2 m . State any restrictions on any variables. (5 marks) v MCR 3U1 – Unit 2 Test Page 2 of 4 4. Find the area of the figure shown and state the restrictions. (4 marks) (***Martin…. The area of a rectangle is A = l x w***) 5 x 35 x3 4x 2 x 2 16 x 63 5. For a 35 mm camera, the equation represents the focal length (f) of the lens that is needed to produce a clear photograph. The distance from the lens to the film, , must be adjusted according to the distance from the lens to the object, . If and (6 marks) , what is ? State any restrictions on the variables. MCR 3U1 – Unit 2 Test Thinking Page 3 of 4 10 Marks 6. Simplify and state any restrictions on the variable. (4 marks) 7. A garden has an area represented by the function expression for the perimeter of the garden? (6 marks) . What is the MCR 3U1 – Unit 2 Test Communication 8. Are the functions shown equivalent? Explain your answer. (3 marks) Page 4 of 4 8 Marks 9. Explain why it is necessary to include restrictions when dealing with rational expressions. (2 marks) 10. In general, if two or more polynomials are to be multiplied, how can you determine how many terms the product will have before like terms are collected? Explain and illustrate with an example. (3 marks) Is this statement correct?Why or why not? ________________________________ (BONUS 2 Marks) What is your favourite cheese? _________________________