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MFM2P Get Ready 1. Give the next three numbers in each pattern a. 1, 4 ,7 ,___ ,___ ,___ b. -2, 2, 6, ___, ___, ___ c. 9, 4, -1, ___, ___, ___ d. 1 ,1 ,2 1 2 3 4 2. Provide the missing numbers to create a pattern. a. 4, ___, 12, ___, 20 b. 33, ___, 21, ___, 9 c. 49, 42, ___, 28, ___ d. 11, 22, ___, 44, ___ 3. Evaluate. Express your answer as a fraction in lowest terms. a. 5 1 32 b. 7 (3) 1 (1) c. 3 (2) 4 (2) 6. Write an algebraic expression in terms of x to represent each. a. 5 more than a number b. 6 less than a number c. a number exceeded by 10 d. a number increased by 20 e. one half a number f. 3 more than twice a number g. three times a number less 2 h. 14 less than one third of a number Lesson 1.1: Linear Relations Cartesian Plane: is the xy plane Quadrants: the x-axes and y-axes divide the Cartesian plane into four regions. The axes themselves do not belong to any of the quadrants. Coordinate: the coordinates of a point on the Cartesian plane form an ordered pair (x,y) and describes the location of that point on the plane Relations: is a pattern that connects two sets of data. x-axis y-axis scale origin (0,0) first quadrant second quadrant third quadrant fourth quadrant Which quadrant does each coordinate belong to? a) b) c) d) e) (3, 4) (-4, 7) (-8, 2) (5, 0) (7, -6) Linear Relations: If, as values of x increase by regular increments, the corresponding values for y also change by regular increments. The graph of a linear relation will be a straight line. Example – Are any of the following linear? a) b) c) x y -2 0 2 4 4 8 12 16 d) {(3, 2), (6, 6), (9, 12), (12, 16)} TtBk Work: 1 to 16 – Complete on a separate piece of paper Plot each point on a Cartesian plane, and state which quadrant it is is. 1. A(3,-1) 2. B(-2,-4) 3. C(-3,2) 4. D(5,2) 5. E(2,0) 6. F(0,-3) 7. G(0,4) 8. H(-3,0) For each Table Of Values (TOV), find the next three values of x and their corresponding y-values 9. x 0 1 2 y 4 6 8 10. x 3 1 -1 y 1 5 9 11. x -5 0 5 y -4 -1 2 12. x -3 -5 -7 y 1 -4 -9 Determine if each set represents a linear function. 13. {(4,5), (2,3), (0,1), (-2,-1)} 14. {(2,-3), (3,-2), (4,-1), (5,0)} 15. {(-11,8), (-4,8), (3,8), (10,8)} 16. {(2,2), (5,2), (8,2), (11,2)}