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Solving Equations

Estimating Values of Quadratic Equations: Guess and Check (B) WORKSHEET

Suitable for Grades: Algebra I, IM 1
CCSS: HSA.REI.B.4
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.

Estimating Values of Quadratic Equations: Guess and Check (B) WORKSHEET DESCRIPTION

The topic of this worksheet is useful to provide an opportunity for learners to think about solving equations using a method of guess and check. Section A provides some tables and equations and leads learners through the process of trialing values to solve equations and then improving their guesses to find answers correct to 2 decimal places. Section B is similar to section A, but requires answers to 3 significant figures. Section C then provides some questions regarding the 2D and 3D shapes that can be solved using guess and check.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Estimating Values of Quadratic Equations: Guess and Check Worksheet suitable for students learning Algebra I

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Frequently Asked Questions

This worksheet is designed for IM 1 and Algebra I students who are developing their equation-solving skills. The guess and check method helps bridge the gap between basic algebraic manipulation and more advanced solving techniques. Students at this level benefit from the systematic approach of testing values and refining their estimates.