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Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and.

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Presentation on theme: "Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and."— Presentation transcript:

1 Material Taken From: Mathematics for the international student Mathematical Studies SL Mal Coad, Glen Whiffen, John Owen, Robert Haese, Sandra Haese and Mark Bruce Haese and Haese Publications, 2004

2 Techniques for solving quadratics… Factoring Fun, but doesn’t always work Completing the Square Tedious, but always works Quadratic Formula Fun and always works! Section 8g - Quadratic Word Problems

3 ax 2 + bx + c = 0 The solutions to ax 2 + bx + c = 0 are… Quadratic Formula

4 Solve using the Quadratic Formula 3 ) 0 = x 2 – 2x – 11 4) 0 = 24x 2 + 33x + 9 2) x 2 = 4x + 3 1) 2x 2 + 4x = 5

5 Steps for Solving Word Problems 1)Read the problem. 2)Define the variables (draw a picture). 3)Write an equation. 4)Solve the equation. 5)Check the solution. 6)Write your answer.

6 5) The sum of a number and its square is 90. Find the number.

7 6) The cube of a number minus the square of the number is the same as the number times 20. Find the number.

8 7) Find two consecutive integers whose product is 306.

9 8) The length of a rectangle is 3 more than five times the width. If the area is 638 cm 2, find the dimensions of the rectangle.

10 9) A rectangle is twice as long as it is wide. If each dimension were increased by 2 inches, the new area would be 144 in 2. Find the original dimensions.

11 10) A photograph is 6 x 4 inches. A frame of uniform width is placed around the photo. The area of the frame is 11 in 2. Find the width of the frame.

12 Homework Pg 263-264 – 1, 3, 5, 6, 11 and 12


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