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19. Elimination – by multiplying both equations: a. Describe what you are to do for elimination by multiplication for both equations. b. 4x + 2y = 8 3x + 3y = 9 20. Coin Story Problem: - Ken has 25 coins in nickels and dimes only and has a total of $1.65. How many of each coin does he have? V. Factoring 21.Factoring out the GCF: a. What is a GCF and how does it apply to factoring? b. 6x2y + 12xy2 +2x2y2 22.Factoring the Difference of squares: a. What is difference of squares and how do you apply it to factoring? b. 121 – 4b2 23.Trinomial with a leading coefficient is 1: a. What is a leading coefficient? b. How do you factor a trinomial with a leading coefficient is 1? c. X2 + 17x + 42 24.Trinomial with a leading coefficient other than 1: a. How do you factor a trinomial with a leading coefficient other than 1? b. 5x2 + 13x + 6 c. 7x2 + 29x + 4 25. Factor by grouping a. What does it mean to factor by grouping? b. 16gh + 24g – 2h – 3 26. Factor more than once a. What is meant by factor more than once? b. 6x4 – 96 27. Zero Product property a. What is the zero product property and how is it used? b. (7x + 3)(2x – 6) = 0 28.Quadratic formula: a. What is the quadratic formula? b. 4x2 – 24x + 35 = 0 (leave answers as fractions) c. 3x2 – 2x – 9 = 0 (answers to the nearest tenth) VI. Linear Equations 29. Find slope from a graph, table, two points, or equation: a. Define slope. b. What is slope’s ratio? c. What are the four types of slopes? Draw a picture for each d. graph - How do you find slope given a graph? - Use the graph to the right to find the slope. e. table - how do you find slope given a table? - Use the table to the right to find the slope. f. two points - how do you find slope given two points? - (-3,-1) and (2,-1) g. From and equation - How do you find slope from an equation? ହ - y=- x+2 ଷ 30. Find the x or y coordinate given slope. a. Describe how you would achieve this concept b. (x, 5) and (5, -6); slope = 11 31. Write a linear equation in slope intercept form from a point and slope or two points. a. Describe how you would achieve this concept b. Point and slope (-6,5) and m = 2 c. Two points (-4, 7) and (3, -1)