Completing the Square Worksheet
Grade 9 Math worksheet on completing the square, covering basic concepts, solving equations, and converting to vertex form.
Includes
Standards
Completing the Square
Name:
Date:
Score:
Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A perfect square trinomial is a trinomial that results from squaring a .
2. To complete the square for \(x^2 + bx\), you need to add \((\frac{b}{2})^2\) to make it a .
3. What constant term should be added to make \(x^2 + 10x\) a perfect square trinomial?
4. What constant term should be added to make \(x^2 - 7x\) a perfect square trinomial?
5. Which of the following is the factored form of \(x^2 + 12x + 36\)?
\((x-6)^2\)
\((x+6)^2\)
\((x+6)(x-6)\)
Not a perfect square trinomial
6. Solve the equation \(x^2 + 6x - 7 = 0\) by completing the square.
7. Solve the equation \(2x^2 - 8x + 6 = 0\) by completing the square.
8. Convert the quadratic function \(y = x^2 - 4x + 1\) into vertex form by completing the square.
9. Convert the quadratic function \(y = -x^2 - 6x - 5\) into vertex form by completing the square.
Related Worksheets
Grade 9 Proportional Equations Worksheet
This worksheet focuses on understanding and solving proportional equations, including direct and inverse proportions, for Grade 9 students.
Zero Product Property Worksheet
Practice solving quadratic equations using the Zero Product Property for Grade 9 algebra.
Solving Three-Step Equations
This worksheet provides practice for grade 9 students in solving linear equations that require three steps.
Elimination Method Worksheet
Practice solving systems of linear equations using the elimination method for Grade 9 students.
Introduction to Imaginary Numbers
Explore the basics of imaginary numbers, their definition, and simple operations. This worksheet is designed for Grade 9 students.
Synthetic Substitution Practice Worksheet
Practice worksheet for synthetic substitution, suitable for grade 9 algebra students.
Grade 9 Linear Systems Worksheet
This worksheet covers solving linear systems using various methods, including graphing, substitution, and elimination, suitable for Grade 9 algebra students.
Identifying Unlike Terms Worksheet
A Grade 9 math worksheet focusing on identifying and understanding unlike terms in algebraic expressions.