Number and Geometry Word Problems (Quadratic Eq)

Number and Geometry Word Problems (Quadratic Equations)

Prepare: pen and paper

Lesson Target

I can solve number and geometry word problems involving quadratic equations.

Suggested Steps in Solving Word Problems involving Quadratic Equations

• Read the problem thoroughly and gather the necessary information.

• Identify what is/are asked.

• Represent the unknown quantities with algebraic expressions.

• Formulate the equation.

• Determine the solution set or roots of the equation.

• Check the roots based on the given problem.

Solving Number Problems Tip!

Know the difference between the representation of two consecutive integers and two consecutive even or odd integers.

Solving Geometry Problems Tip!

Be familiar with the formula in identifying the area of commonly used polygon.

Activity 1:

Number and Geometry Word Problems

Fill in the Blanks

1. The sum of two numbers is 10. The sum of the squares of the numbers is 68. Find the two numbers.

(Separate your answer with a comma, and no spacing.)

Fill in the Blanks

2. Find two consecutive positive even integers whose product is 224.

(Separate your answer with a comma, and no spacing.)

Fill in the Blanks

3. A landscaper designs a rectangular grass plot with a length 3 meters less than four times its width. If the landscaper purchases 52 square meters of grass to use for the plot, what are the dimensions of the plot?

(Separate your answer with a comma, and no spacing. Include the unit.)

ex: 9,10units

Fill in the Blanks

4. The area of a concrete pathway is 350 square meters and its perimeter is 90 meters. What is the length of the pathway?

(No spacing. Include the unit.)

ex: 15units

end