Zero Product Property Worksheet
Practice solving quadratic equations using the Zero Product Property for Grade 9 algebra.
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Zero Product Property Worksheet
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Read each question carefully and solve for the variable(s) using the Zero Product Property. 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. To use the Zero Product Property, an equation must be set equal to .
3. If (x - 3)(x + 5) = 0, then x - 3 = 0 or x + 5 = 0, which means the solutions are x = 3 and x = .
Solve each equation using the Zero Product Property.
4. (x + 7)(x - 2) = 0
5. y(y - 9) = 0
6. (2a + 1)(a - 4) = 0
7. Which of the following equations is NOT in the correct form to apply the Zero Product Property directly?
(x + 5)(x - 1) = 0
x² - 4x = 0
(x - 3)(x + 2) = 5
3x(x + 6) = 0
8. What are the solutions to the equation x² - 6x + 8 = 0?
x = 6, x = -8
x = -6, x = 8
x = 2, x = 4
x = -2, x = -4
Solve the following equations using the Zero Product Property. Remember to factor first if necessary.
9. x² + 5x - 14 = 0
10. 3x² - 12x = 0
11. (x + 3)(x - 1) = 5