Chapters 1 & 2 Review Day.

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Presentation transcript:

Chapters 1 & 2 Review Day

Test Topics Chapter 1 Find a linear equation from two points. Find a linear equation from a point and a parallel or perpendicular line. Solve a systems of equations. Write and evaluate an equation from a linear model. Solve a quadratic by factoring. Solve a quadratic by quadratic formula.

Test Topics Chapter 2 Divide a polynomial. Sketch the graph of a polynomial. Write a possible equation from a graph of a polynomial. Find zeros of a polynomial on the calculator. Find min/max of a polynomial on the calculator. Write a quadratic function from a situation, find the domain & the min or max. Write a cubic function from a situation, find the domain & the local min or max. Solve a polynomial by grouping terms or rewriting in quadratic form. Find a quadratic equation given the roots.

Make a sketch and write an equation for each situation: 1. A picture has a height that is 4/3 its width. It is to be enlarged to have an area of 192 square inches. What will be the dimensions of the enlargement? 2. A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed all around it, increasing the total area to 285 square meters. What will be the width of the pathway? 3. You have to make a square-bottomed, unlidded box with a height of three inches and a volume of approximately 42 cubic inches. You will be taking a piece of cardboard, cutting three-inch squares from each corner, scoring between the corners, and folding up the edges. What should be the dimensions of the cardboard, to the nearest quarter inch?

1. Let "w" stand for the width of the picture. The height h is 4/3 the width, so h = (4/3)w. Then the area is A = hw = [(4/3)w][w] = (4/3)w2 = 192. I need to solve this "area" equation for the value of the width, and then back-solve to find the value of the height. (4/3)w2 = 192 w2 = 144 w = ± 12

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