Grade 9 · Math · Algebra 1

9th grade Solve a quadratic by factoring (zero product property) worksheet

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Solve a quadratic by factoring (zero product property)

Grade 9 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Jun writes (x - 6)(x + 11) = 0 on a sticky note (the note is running out of room). A product is 0 only when one bracket is 0. What is the negative solution?
Kira solves (x - 3)(x + 8) = 0 in pencil. A product is 0 only when one bracket is 0. What is the negative solution?
Luz's robot reads (x - 9)(x + 4) = 0 and lights up. A product is 0 only when one bracket is 0. What is the negative solution?
In math club, Milo meets (x - 12)(x + 5) = 0. A product is 0 only when one bracket is 0. What is the negative solution?
5.
Noah solves (x + 7)(x - 2) = 0 while the kite string untangles. Which inputs make the output 0?
- x = 7 and x = -2
- x = -7 and x = 2
- x = 0
- x = -7 only
6.
Ren solves (x + 5)(x + 9) = 0 for a gold star. Which inputs make the output 0?
- x = 5 and x = 9
- x = -5 and x = -9
- x = -5 only
- x = 0
7.
Zee fills in a table for y = x² - 3x - 28. It factors as (x + 4)(x - 7). Which input row has output 0?
- x = -7
- x = 0
- x = 7
- x = 28
8.
Ari tests rows of the table for y = x² + 2x - 48. It factors as (x + 8)(x - 6). Which input row has output 0?
- x = 6
- x = 0
- x = 48
- x = -6
9.
Bo's robot builds a table for y = x² - 11x + 24. It factors as (x - 3)(x - 8). Which input row has output 0?
- x = 24
- x = -8
- x = 0
- x = 8
10.
In math club, Esme checks rows of the table for y = x² + 9x + 18. It factors as (x + 6)(x + 3). Which input row has output 0?
- x = -6
- x = 0
- x = 18
- x = 6

Solve a quadratic by factoring. Every version has 10 questions, and the answer key prints on the second page.

Standard: A-REI.B.4b, A-APR.B.3

zero product rule: If a product is 0, one of its factors is 0.

factor: One of the brackets that multiply together.

solution: An input whose output is 0.

perfect square: A bracket times itself, like (x - 5)².

standard form: Everything on one side and 0 on the other.

Your child read the solution straight off the bracket, so the sign came out wrong.

Your child set only one bracket to 0.

Your child picked the input 0 instead of the input that makes the output 0.

Ask: what makes x + 4 equal 0?

Ask: if a product is 0, which of the two brackets could be 0?

Ask: put x = 0 in. Is the answer 0?

What is the most common mistake with solve a quadratic by factoring (zero product property)?

Your child read the solution straight off the bracket, so the sign came out wrong.

How can I help my child with solve a quadratic by factoring (zero product property)?

Ask: what makes x + 4 equal 0?

Are these 9th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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