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NRF 10 Low Exam Review Solutions Chapter 3: 1. B 2. a) 18 b) 16 c) 144 3. a) 2 x 2(2 x 1) 4 x 2 6 x 2 b) 3a 4(a 2) 3a 2 2a 8 c) I can substitute a number for the variable in both the binomial product and the trinomial. If both expressions are equal, the multiplication sentence is correct. 4. a) 12r 2 6r 36 b) 2 x 3 13x 2 4 xy 2 y 3 c) a 2 3ab b 2 5. a) 4ab(2a – b) b) 2(2h – 3k)(2h + 3k) c) r 5r 3 d) 8(f – 1)(f + 3) 6. When the factors are expanded, the middle term of the trinomial is positive, not negative. So, the signs in the binomial factors should be reversed. 3a 2 7a 6 (3a 2)( a 3) Chapter 4: For questions 1 and 2, choose the correct answer: A, B, C, or D 1. D 2. B 3. a) b) 3 3 10 30 is less than -3 but greater than -4 because (-3)³=-27 and (-4)³ = -64 48 b) 3 250 5. a) 5 6 b) 33 2 4. a) 6. a) 9 7. 1 3 8 b) -10 c) 1 1000 0.0001 d) 9 16 1 2 8. a) x 8 y 5 b) x 4 y 2 Chapter 5: 1. B 2. C 3. a) i) Function; the elements in the first column are all different. ii) Domain: {1, 3, 5, 7, …}; that is, all positive odd numbers; range: {3, 6, 9, 12, …};that is, all positive multiples of 3 Representations may vary. For example, as a set of ordered pairs: {(1, 3), (3, 6), (5, 9), (7, 12)} Linear function; a constant change of 2 in a results in a constant change of 3 in b. iii) Dependent variable: b; independent variable: a; rate of change: b) i) Function; the graph passes the vertical line test. ii) Domain: –3 ≤ x ≤ 9, Range: 1 ≤ y ≤ 5 Representations may vary. For example, A straight line through the points in this table of values: 3 2 Linear function; the points lie on a straight line iii) Dependent variable: y; independent variable: x; rate of change- 1 3 c) i) Not a function; some ordered pairs have the same first element. 4. a) A negative profit indicates a loss. When 5 T-shirts have been sold, a profit is made. b) I did not connect the points because it makes no sense to sell a fraction of a T-shirt. c) Domain: {0, 1, 2, 3, 4, 5, 6, …}, all whole numbers; Range: {–20, –15, –10, –5, 0, 5, 10, …}, all multiples of 5 greater than or equal to –20 The graph could be extended to the right as more T-shirts are sold. The graph cannot be extended to the left because the number of T-shirts sold cannot be negative. The domain is restricted to whole numbers. The range is restricted to multiples of 5, greater than or equal to –20. d) $5/shirt; the profit made on the sale of each T-shirt e) i) $300 ii) 69 Chapter 6: 1. B 2. A 3. a) i) 2 5 ii) 2 5 4. a) change it to y = mx + b y = -2x -4 b) change it to y = mx + b y = 2 x2 5 c) graph it from this form Chapter 7: