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Zero Product Property Worksheet

Practice solving quadratic equations using the Zero Product Property.

Grade 11 Math AlgebraZero Product Property
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Includes

4 Short AnswerMultiple Choice

Standards

CCSS.MATH.CONTENT.HSA.APR.B.3CCSS.MATH.CONTENT.HSA.REI.B.4.B
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Zero Product Property Worksheet

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Read each question carefully and follow the instructions to solve for the unknown variable(s). Show all your work.

1. The Zero Product Property states that if the product of two or more factors is zero, then at least one of the factors must be  .

2. Before applying the Zero Product Property, a quadratic equation should be set equal to  .

Solve each equation using the Zero Product Property.

3. (x + 5)(x - 3) = 0

4. y(y + 7) = 0

5. (2m - 1)(m + 4) = 0

Factor the following quadratic equations and then solve using the Zero Product Property.

6. x² + 6x + 8 = 0

7. p² - 10p + 25 = 0

8. 3n² - 9n = 0

9. Which of the following equations has solutions x = -2 and x = 5?

a

(x - 2)(x + 5) = 0

b

(x + 2)(x - 5) = 0

c

x² - 3x - 10 = 0

d

Both b and c

10. The area of a rectangle is 24 square units. If the length is (x + 5) units and the width is (x - 2) units, find the dimensions of the rectangle.