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1.3 & 1.4 Solving Equations and Inequalities Solving Equations Remember: Get all variables on one side and all numbers on the other. Distribute to EVERY TERM in the ( ). “Undo” all operations by doing the opposite. 7 y 5 6 y 11 In groups! 101 2 y 52 y 1 More Examples The width of a rectangle is 2 cm less than the length of the rectangle. The perimeter of the rectangle is 76 cm. Find the dimensions of the rectangle. Solving for Variables without Numbers Use the same techniques – your answer will probably be a variable expression instead of a number. Solve for w. V = lwh When would this be useful? Solve for g. S = ½gt2 More Examples In groups! BH-BK L for B x-5 3 c - 10 for x p Inequalities What do you remember about them? How are they different than equations? How many solutions do they have? What is the one thing you have to watch out for when multiplying or dividing by a negative? Examples (Remember to graph on a number line!) 3x 12 3 2 x 3 2 x 5 More Examples In groups! 4 x 1 22 x 5 1 3x 2 11 More Examples 6b 3 15 or 4b 2 18 1.3: 1, 9, 13, 17, 20, 23-27 odd, 31-35 odd, 3646 even 1.4: 9, 10, 15, 19, 21, 23, 25, 30, 31 3.7a&Complex Zeros; the Fundamental Theorem 1.3 1.4 Solving Equations and Inequalities of Algebra