www.AlgebraNation.com Section 5 Topic 7  

Name ________________________________________________ Date___________________ Quadratic Functions – Part 1 Solving Quadratics by Completing the Square Independent Practice 1.   Use the quadratic, 𝑥" + 18𝑥 = 25 to answer the following questions.

Part A: Find the value of c that will result in a perfect square trinomial.

𝑥" + 18𝑥 +  𝑐 = 25 + 𝑐 Part B: Rewrite the above equation into a perfect square binomial form.

(𝑥   + _______)" =   ________ Part C: What is the value of 𝑥?

2.   Find the roots of the quadratic function by completing the square: 𝑥" + 4𝑥 − 1 = 0.

www.AlgebraNation.com Section 5 Topic 7  

3.   The rectangular poster shown at the right measures 2𝑤 − 30  by 𝑤.  The poster has an area of  5400  𝑐𝑚". What is the value of  𝑤?

4.   The area of a rectangular television screen is  1837  𝑖𝑛". The width of the screen is 22.4

inches longer than the height. Therefore, the quadratic equation that can be used to represent the area of the television screen is  ℎ ℎ + 22.4 = 1837. If you multiply, you then have the equivalent equation,  ℎ" + 22.4ℎ = 1837. Complete the square to find the dimensions of the screen.

www.AlgebraNation.com Section 5 Topic 7  

5.   The area of a rectangular television screen is  3456  𝑖𝑛". The width of the screen is 24 inches longer than the height. What is a quadratic equation that represents the area of the screen? What are the dimensions of the screen?

Part A: What is the quadratic equation that represents the area of the television

screen? Part B: What are the dimensions of the screen?