#Solving quadratic equations worksheet pdf#

Substitute A, B, and C into the quadratic formula. Put the equation into standard form: Ax2 + Bx + C 0 2. Use When: The other methods do not apply. Take the square root of both sides (don’t xforget ) Quadratic Formul 6. Some uniform motion problems are also modeled by quadratic equations. If we know D D and r r and need to find t t, we would solve the equation for t t and get the formula t D r t D r. Long ago, a teacher reminded me in a jokingly way that mathematicians are lazy, hence let's find all the shortcuts possible. Factor the left side of the equation into a binomial squared. The formula D rt D r t assumes we know r r and t t and use them to find D D. After all, algorithms in math were developed to increase efficiency. If a quadratic can be solved it will have two solutions (these may be equal). When the product of two numbers is 0, then at least one of the numbers must be 0. It's important to be able to use the various methods so that you will eventually be able to use the most efficient method. Quadratic functions factorising, solving, graphs and the discriminants.

However, there are other worksheets that require you to complete the square, factor and graphing. Note that the answers are found on the second page of the PDF.Īlthough there are other methods to solve quadratic equations (factoring, graphing, completing the square) it is important to use efficiency, hence you are asked to use the quadratic formula to solve these questions.

#Solving quadratic equations worksheet pdf#

Use the Quadratic Formula to Solve the Equations(Answers on 2nd page of PDF.Įach worksheet is in PDF for quick printing.