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

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

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

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

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

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

7) Find two consecutive integers whose product is 306.

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.

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.

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.

Homework Pg – 1, 3, 5, 6, 11 and 12