10 questions
9th - 9th Grade
Mathematics
Algebra 1 Quadratic Formula (6.3) is a Grade 9 mathematics worksheet that builds accuracy with the quadratic formula. Students first identify a, b, and c in quadratic equations, including equations that must be rearranged into standard form, and determine the value of -b when b is positive or negative. They then solve quadratic equations with the formula and select both solutions from decimal answer choices. The 10-item worksheet includes 4 multiple-choice questions and 6 multiple-select questions. Its varied equations include positive and negative leading coefficients, missing-looking terms, and equations written with terms on both sides, helping students practise coefficient identification, sign management, standard-form setup, and solution selection. This free printable worksheet is designed for Grade 9 Algebra I practice, independent work, review, or formative assessment, and it includes a complete answer key for efficient checking.
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WorksheetsAnswer Key-4
3
1.242
, b)-7.242
1.29
, b).31
-0.785
, b)1.785
-0.171
, b)1.172
3.255
, d)-0.922
1
, b)-0.556
a = 6; b = -7; c = -9
This Grade 9 worksheet practises identifying a, b, and c, evaluating -b, rewriting equations into standard form when needed, and solving quadratic equations with the quadratic formula. Its 10 questions use 4 multiple-choice items and 6 multiple-select items, requiring students to select both decimal solutions for each equation when appropriate.
Begin by modelling how to rewrite an equation such as 4x² − 8x = 3 or 9x² − 5 = 4x as ax² + bx + c = 0 before identifying the coefficients. Use the early questions to discuss why the sign of b changes the value of −b, then have students solve the later equations and explain how they know both selected decimals are solutions.
Watch for students treating c as positive when a constant is moved across the equals sign, or reading b incorrectly when the x-term is written on the other side. Students may also substitute b instead of −b, overlook a negative leading coefficient, or select only one root in the multiple-select problems. Checking the equation in standard form before substitution can expose these sign and setup errors.
The worksheet is available as a printable PDF and as a digital quiz on Wayground, with a complete answer key for checking the coefficient, sign, and solution items. Printable submissions can also be graded by scanning student work with the Wayground for Teachers app.
Use the worksheet’s Advanced Settings to increase font size or adjust font spacing so the equations, coefficient labels, and multiple-select answer choices are easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the quadratic-formula practice intact.
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