PencilGo

Grade 11 · Math · Algebra 2

11th grade Quadratic inequalities: graph and solve worksheet

6 printable versionsOn Level10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

When it’s done, scan the sheet with your phone and PencilGo marks it and picks the next one. Create a free account

Version
Print

Quadratic inequalities: graph and solve

Grade 11 Math Worksheet

NameDate

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

  1. Luz solves x² − 2x − 8 < 0 by finding the zero rows. What is the answer, written like 2 < x < 9?

  2. Noah solves x² + 6x + 5 < 0 by finding the zero rows. What is the answer, written like 2 < x < 9?

  3. Pia solves x² − 8x + 7 ≤ 0 by finding the zero rows. What is the answer, written like 2 < x < 9?

  4. Ren solves x² + x − 12 > 0 by finding the zero rows. What is the answer, written like x < 1 or x > 6?

  5. Zee solves x² + 3x − 10 ≥ 0 by finding the zero rows. What is the answer, written like x < 1 or x > 6?

  6. Esme solves x² − 11x + 24 > 0 by finding the zero rows. What is the answer, written like x < 1 or x > 6?

  7. Jun solves x² + 10x + 21 ≥ 0 by finding the zero rows. What is the answer, written like x < 1 or x > 6?

  8. Luz solves -x² + 4x + 12 > 0, where the parabola opens down. What is the answer, written like 2 < x < 9?

  9. Milo solves -x² + 4x + 5 ≥ 0, where the parabola opens down. What is the answer, written like 2 < x < 9?

  10. Noah solves -x² − 4x + 12 < 0, where the parabola opens down. What is the answer, written like x < 1 or x > 6?

PencilGopencilgo.com

11th grade Quadratic inequalities: graph and solve worksheet – printable
Print: 123456

About this worksheet

Quadratic inequalities: graph and solve. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the zero rows and say where a quadratic is above or below 0.
  • I can solve a quadratic inequality and write the answer like -2 < x < 4 or x < 1 or x > 6.
  • I can say how long a ball or rocket stays above a height.

Standard: A-REI.B.4, A-CED.A.1

Words to know

zero rows: The inputs where the output is 0; the boundary of the answer.

between: The part of the number line from one zero to the other.

outside: The two parts beyond the zeros, joined by "or".

touch point: The one zero of a perfect square, where the graph just touches.

Common mistakes

Your child found the right zeros but shaded the wrong side of them.

Your child picked a zero of the product, where it equals 0.

Your child took the signs in the brackets as the zeros.

What to say

Ask: is the parabola above or below the axis between its zeros?

Ask: is 0 less than 0?

Ask: what value of x makes (x + 2) equal 0?

Questions parents ask

What is the most common mistake with quadratic inequalities: graph and solve?

Your child found the right zeros but shaded the wrong side of them.

How can I help my child with quadratic inequalities: graph and solve?

Ask: is the parabola above or below the axis between its zeros?

Are these 11th 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.

More algebra 2

See all Algebra 2

Every sheet you scan goes into your child’s record: dated, marked and ready for the year-end portfolio. Homeschool records