Solving Quadratic Equations: Worksheets with Answers
Whether you want a homework, some cover work, or a lovely bit of extra practise, this is the place for you. And best of all they all (well, most!) come with answers.
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Quadratic Equation Worksheets (pdfs)
Free worksheets with answer keys.
Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key.
- Solve Quadratic Equations by Factoring
- Solve Quadratic Equations by Completing the Square
- Quadratic Formula Worksheet (real solutions)
- Quadratic Formula Worksheet (complex solutions)
- Quadratic Formula Worksheet (both real and complex solutions)
- Discriminant Worksheet
- Sum and Product of Roots
- Radical Equations Worksheet
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Quadratic Equation Worksheets
Make spectacular headway in forming and solving quadratic equations with this myriad collection of quadratic equations worksheets! The topics covered include finding the determinant, determining the nature of roots, calculating the sum and product of roots, and visualizing quadratic equations in real life. Further, you learn to solve an equation using four different methods: factoring, taking square roots, completing the square, and using the formula. Addressing every aspect that matters in quadratic equations, our printable worksheets prepare high school students to make great strides in the topic. Begin your practice with our free worksheets!
List of Quadratic Equation Worksheets
Sum and Product of the Roots
- Solving by Factoring
- Solving by Taking Square Roots
- Solving by Completing the Square
- Finding the Discriminant
- Finding the Nature of the Roots
- Quadratic Formula
- Quadratic Word Problems
Explore the Quadratic Equation Worksheets in Detail
Walk your students through this assortment of pdf worksheets! Acquaint them with finding the sum and product of the roots of a given quadratic equation. Equip them to utilize this sum and product to form the quadratic equation and determine the missing coefficients or constant in it.
Solve Quadratic Equations by Factoring
This bunch of pdf exercises for high school students has some prolific practice in solving quadratic equations by factoring. Factor and solve for the real or complex roots of quadratic equations with integer, fractional, and radical coefficients.
Solve Quadratic Equations by Taking Square Roots
Keep high school students au fait with the application of square root property in solving pure quadratic equations, with this assemblage of printable worksheets. Isolate the x 2 term on one side of the equation and the constant term on the other side, and solve for x by taking square roots.
Solve Quadratic Equations by Completing the Square
Complete the square of the given quadratic equation and solve for the roots. Level up by working with equations involving radical, fractional, integer, and decimal coefficients.
Find the Discriminant
Discern all the essential facts about a discriminant with this compilation of high school worksheets. Determine the discriminant by evaluating the expression b 2 - 4ac where a is the coefficient of x 2 , b the coefficient of x, and c the constant term in a quadratic equation.
Find the Nature of the Roots
Can you tell if the roots of a quadratic equation are equal or unequal without solving it? Take a quick jaunt into this collection of printable nature of roots handouts! Predict if the roots are equal or unequal and also if they are real or complex.
Solve Quadratic Equations using Formula
Be it finding the average or area or figuring out the slope or any other math calculation, formulas are important beyond doubt! Augment your ability to use the quadratic formula and find solutions to a quadratic equation with this set of practice resources!
Quadratic Equations Word Problems
Catch a glimpse of a variety of real-life instances where quadratic equations prove they have a significant role to play! Read each word problem carefully, form the equation with the given data, and solve for the unknown.
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Solving Quadratic Equations with Positive 'a' Coefficients of 1 (A)
Welcome to The Solving Quadratic Equations with Positive 'a' Coefficients of 1 (A) Math Worksheet from the Algebra Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2019-11-25 and has been viewed 539 times this week and 996 times this month. It may be printed, downloaded or saved and used in your classroom, home school, or other educational environment to help someone learn math.
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Home > Math Worksheets > Quadratic Equations > Solving Quadratic Equations
There are three categories in algebra: equations, expressions, and inequalities. Each of these has a variety of different types. There are several types of equations; the ones with the highest power of variable as 1, known as linear equations, then there are equations with variables with highest power two, cubic equations are the ones with the highest power three, and equations with higher powers are known as polynomials. The general form of a quadratic equation is given by; ax 2 + bx + c = 0 There are four different methods of solving these equations, including "factoring," "completing the square," "Quadratic formula," and "graphing." Factoring is also known as "middle-term break." Start by finding the product of 1st and last term. Find the factors of product 'ac' in such a way that the addition/subtraction of these factors equals the middle term. Noe writes the center term using the sum of the two new factors. Form the following pairs; first two terms and the last two terms. Factor each pair by finding common factors. Now, factorize the shared binomial parenthesis. The second method is completing the square method; Start by transforming the equation in a way that the constant term is alone on the right side. If the leading coefficient is not equal to 1, divide both sides by a. Now, add the square of half the coefficient of the x -term, to both sides of the equation. The next step is to factor the left side as the square of a binomial. Proceed by taking the square root of both sides and then solve for x. The third method is through the use of the quadratic formula; It simply requires one to substitute the values into the following formula; x=(-b ± √(b 2 -4ac))/2a The fourth method is through the use of graphs. The roots of a quadratic equation are the x-intercepts of the graph.
A quadratic equation is an equation in which x represents an unknown, and a, b, and c represent known numbers, provided that a does not equal 0. In equations in which a equals 0, an equation is linear. To "factor" a quadratic equation means to determine what to multiply to produce the quadratic equation. In this set of worksheets, students will solve factorable quadratic equations, solve quadratic equations for the value of the variable, and solve quadratic equations with complex roots. This set of worksheets contains step-by-step solutions to sample problems, both simple and more complex problems, ample worksheets for independent practice, reviews, and quizzes. When finished with this set of worksheets, students will be able to solve factorable quadratic equations, solve quadratic equations for the value of the variable, and solve quadratic equations with complex roots. These worksheets explain how to solve factorable quadratic equations and quadratic equations with complex roots. Sample problems are solved and practice problems are provided.
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Solving quadratic equations worksheets, click the buttons to print each worksheet and answer key., solving factorable quadratic equations lesson.
This worksheet explains how to solve factorable quadratic equations. A sample problem is solved, and two practice problems are provided.
Students will solve ffor a fixed variable on each exercise. Ten problems are provided.
SWork through all of these equations by isolating a side. Ten problems are provided.
The concepts that were focused on here are explained in a sample entry. A sample problem is solved and six practice problems are provided.
Students will demonstrate their ability with the level that has been set previously. Ten problems are provided.
This is a an excellent way to see where your students are at with this skill. Three problems are provided, and space is included for students to copy the correct answer when given.
Solving Quadratic Equations Lesson
This worksheet explains how to solve quadratic equations for the value of the variable. A sample problem is solved, and two practice problems are provided.
Break apart each exercise into digestable pieces that can be understood easily. Ten problems are provided.
The quadratic equations that you will find are able to be understood in variable form. Ten problems are provided.
The concept of how to solve quadratic equations for the value of the variable is reviewed. A sample problem is solved and six practice problems are provided.
Students will demonstrate their proficiency with breaking problems like these down. Ten problems are provided.
This is a great way to explore this topic together as a class. Three problems are provided, and space is included for students to copy the correct answer when given.
Solve for the indicated variable and express the roots of the equation in simplest a + bi form: x 2 + 4x + 12 = 0. A sample problem is solved, and two practice problems are provided.
Solving Quadratic Equations with Complex Roots Worksheet
Students will solve quadratic equations with complex roots. Ten problems are provided.
Students will practice solving quadratic equations with complex roots. Ten problems are provided.
The concept of how to process a series down to complex roots is reviewed. A sample problem is solved and six practice problems are provided.
Students will demonstrate their level of skill with this topic. Ten problems are provided.
Use this sheet to work with your entire classroom. Three problems are provided, and space is included for students to copy the correct answer when given.
Quadratic Equation Worksheets
Quadratic equations worksheets are used to help students grasp the concept of algebra with a stronger foundation. These worksheets comprise simple questions which are driven towards building a student's understanding of quadratic expressions. As a student becomes well versed with simpler concepts, they move on to introducing more complicated questions based on solving quadratic equations, finding roots, etc.
Benefits of Quadratic Equation Worksheets
By solving problems in quadratic equation worksheets, a student can improve his ability to calculate quickly. He also gets an understanding of various sister concepts that see the use of quadratic equations. In addition to this, by practicing a wide range of problems with varying levels of difficulties, a student is sure to get good grades.
These math worksheets are interactive and provide visual simulations which promotes a better understanding of the topic in question. They are free to download, easy to use and are flexible.
Download Quadratic Equation Worksheet PDFs
A student can study at his own pace and have fun while learning as well as practicing a new concept.
- Quadratic Formula
- Solving by Factoring
- Solve by Completing the Square
- Finding the Perfect Square Trinomial
- Finding the Quadratic Equation Given the Solution Set
- Finding a,b, and c in the Standard Form
- Finding the Discriminant
- Finding the Quadratic Constant of Variation
- Finding the Zeros by Completing the Square
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