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Solving Quadratic Equations by Formula (Non-Calculator) WORKSHEET
Suitable for Grades: Algebra II, IM 2
CCSS: HSA.REI.B.4, HSA.REI.B.4.B
CCSS Description: Solve quadratic equations in one variable. a. Use the method of completing the square to transform any quadratic equation in x into an equation of the form (x – p)2 = q that has the same solutions. Derive the quadratic formula from this form. b. Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula, and factoring, as appropriate to the initial form of the equation; recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Solve quadratic equations by inspection (e.g., for x2 = 49), taking square roots, completing the square, the quadratic formula and factoring, as appropriate to the initial form of the equation. Recognize when the quadratic formula gives complex solutions and write them as a ± bi for real numbers a and b.
Solving Quadratic Equations by Formula (Non-Calculator) WORKSHEET DESCRIPTION
This worksheet introduces students to solving quadratic equations using the quadratic formula in a clear, structured way.
Section A begins with guided examples where pupils fill in the missing steps, helping them understand how the formula is applied and how each value of a, b, and c is substituted. Learners then use these steps to solve a series of quadratic equations, where the discriminant is always a perfect square.
Section B asks learners to solve a further 2 equations, unsupported.
In Section C pupils will discover some equations with irrational solutions. Answers are required as exact values, meaning pupils will be using and simplifying surds.
The step-by-step design makes this worksheet an ideal first introduction to the quadratic formula.
Section A begins with guided examples where pupils fill in the missing steps, helping them understand how the formula is applied and how each value of a, b, and c is substituted. Learners then use these steps to solve a series of quadratic equations, where the discriminant is always a perfect square.
Section B asks learners to solve a further 2 equations, unsupported.
In Section C pupils will discover some equations with irrational solutions. Answers are required as exact values, meaning pupils will be using and simplifying surds.
The step-by-step design makes this worksheet an ideal first introduction to the quadratic formula.
All worksheets are created by the team of experienced teachers at Cazoom Math.
Frequently Asked Questions
This solving quadratic equations by formula (non-calculator) worksheet is designed for students in Algebra II and IM 2 and aligns with Common Core State Standards.