Perfect Square Trinomials Worksheet

This worksheet focuses on identifying, factoring, and creating perfect square trinomials for Grade 10 Algebra students.

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Grade 10 Math AlgebraPerfect Square Trinomial

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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.HSA.SSE.A.2CCSS.MATH.CONTENT.HSA.APR.B.3

Topics

AlgebraPerfect Square TrinomialsFactoringQuadratic Expressions

7 sections · Free to use · Printable

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Perfect Square Trinomials

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Read each question carefully and answer to the best of your ability. Show all your work for full credit.

1. Which of the following is a perfect square trinomial?

x² + 6x + 8

x² + 10x + 25

x² - 4x + 3

x² - 7x + 10

2. Which expression is a perfect square trinomial?

4y² + 12y + 9

9y² - 6y + 4

16y² + 8y + 1

All of the above

Complete the square to make each expression a perfect square trinomial.

3. x² + 14x +

4. y² - 20y +

5. 4m² + 24m +

Factor each perfect square trinomial.

6. x² + 18x + 81

7. 9y² - 30y + 25

Determine if each statement is true or false.

8. (3x + 4)² = 9x² + 12x + 16

True

False

9. A trinomial of the form a² - 2ab + b² can be factored as (a - b)².

True

False

10. The area of a square is given by the expression 25x² + 40x + 16. What is the length of one side of the square?

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