Unit E1 Day 8 Application Completed Notes Unit E1: Solving Quadratics
Day 8
Objectives:
Application of Quadratic Expressions and Equations
Wehrle 1
Unit E1 Day 8 Application Completed Notes Find an expression for the perimeter of the following triangle in terms of x. 3x + 1
x + 2
4x + 7
What is the perimeter of a square when each side is 2x + 3?
Wehrle 2
Unit E1 Day 8 Application Completed Notes A friend is building a new house. The layout of the first floor is shown in the diagram below. Using the diagram and knowledge of polynomials, complete the following examples. (a) Write an expression in standard form that represents the area of the living room. (b) Write an expression in standard form that represents the area of the bathroom. Wehrle 3
Unit E1 Day 8 Application Completed Notes If the area of a rectangle is x2 + 5x + 6, what is the length and width of the rectangle? If the area of a rectangle is 6x2 + 29x + 35, what is the length and width of the rectangle? If the area of a rectangle is 5x2 + 44x + 32, what is the length and width of the rectangle? Wehrle 4
Unit E1 Day 8 Application Completed Notes If the perimeter of a square is 12x + 8, what is the dimension of each side?
What is the area of this same square?
Wehrle 5
Unit E1 Day 8 Application Completed Notes Scott's rectangular garden is 6 meters long and 4 meters wide. He wishes to increase the area of his garden by adding a strip of equal width all the way around the garden. Using the figure below, show the addition to the garden and label the width of the addition w. 4m
6m
When the addition is finished, the area of the garden is 48m2. Write and equation that represents the total area covered by the new, larger garden. Solve for the width added to each side of the garden, w. Wehrle 6
Unit E1 Day 8 Application Completed Notes Your little sister wants a rectangular sandbox put in the backyard. You know the length has to be 19 feet longer than the width. (a) Draw and label a picture that represents the sandbox. (b) You can buy sand to cover 150 square feet. Write an equation that represents the total area of the sandbox. (c) Solve your equation from part (b) to determine the dimensions of the sandbox. Wehrle 7