WORKSHEET ON QUADRATIC EQUATIONS WITH ANSWERS

Worksheet on Quadratic Equations with Answers :

Practice questions in this section will be much useful for the students who would like to practice the concept quadratic equation. 

Problem Solving Involving Quadratic Equations with Answers

(1) Check whether the following are quadratic equations:

(i) (x + 1)² =  2 (x – 3)            Solution

(ii) x² - 2 x  =  (-2) (3 - x)       Solution

(iii) (x - 2) (x + 1)  =  (x - 1) (x + 3)       Solution

(iv) (x - 3) (2x + 1)  =  x (x + 5)       Solution

(v) (2 x - 1) (x - 3)  =  (x + 5) (x - 1)       Solution

(vi) x² + 3 x + 1  =  (x - 2)²       Solution

(vii) (x + 2)³  =  2 x (x² - 1)       Solution

(vii) x³ - 4 x² - x + 1  =  (x - 2)³       Solution

(2) Represent the following situations in the form of quadratic equations :

(i) The area of a rectangular plot is 528 m². The length of the plot (in meters) is one more than twice its breadth. We need to find the length and breadth of the plot.

Solution

(ii) the product of two consecutive positive integers is 306. We need to find the integers.         Solution

(iii) Rohan's mother is 26 years older than him. The product of their ages (in years) 3 years from now will be 360. We would like to find Rohan's present age.

Solution

(iv) A train travels a distance of 480 km at a uniform speed. If the speed had been 8 km/hr less, then it would have taken 3 hours more to cover the same distance. We need to find the speed of the train.          Solution

After having gone through the stuff and examples,  we hope that the students would have understood, worksheet on quadratic equations with answers.

Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here.

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.

©All rights reserved. onlinemath4all.com

Recent Articles

  1. How to Solve Age Problems with Ratio

    Mar 28, 24 02:01 AM

    How to Solve Age Problems with Ratio

    Read More

  2. AP Calculus BC Integration of Rational Functions by Partical Fractions

    Mar 26, 24 11:25 PM

    AP Calculus BC Integration of Rational Functions by Partical Fractions (Part - 1)

    Read More

  3. SAT Math Practice

    Mar 26, 24 08:53 PM

    satmathquestions1.png
    SAT Math Practice - Different Topics - Concept - Formulas - Example problems with step by step explanation

    Read More