Back to Common Core worksheets

Free to print and copy for home or class. This link always prints the same sheet.

eurekami

Common Core HSA.REI.B.4 worksheet

High school Β· 16 questions Β· Common Core: HSA.REI.B.4 Β· England: GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    Solve: xΒ² + x βˆ’ 30 > 0

    • A. βˆ’5 < x < 6
    • B. x < βˆ’6 or x > 5
    • C. x < βˆ’5 or x > 6
    • D. βˆ’6 < x < 5
  2. Question 2

    Solve: xΒ² + 3x βˆ’ 4 < 0

    • A. βˆ’1 < x < 4
    • B. βˆ’4 < x < 1
    • C. x < βˆ’4 or x > 1
    • D. x < βˆ’1 or x > 4
  3. Question 3

    Solve: xΒ² + 7x + 6 < 0

    • A. x < 1 or x > 6
    • B. 1 < x < 6
    • C. βˆ’6 < x < βˆ’1
    • D. x < βˆ’6 or x > βˆ’1
  4. Question 4

    Solve: xΒ² + 9x + 20 > 0

    • A. x < βˆ’5 or x > βˆ’4
    • B. βˆ’5 < x < βˆ’4
    • C. x < 4 or x > 5
    • D. 4 < x < 5
  5. Question 5

    Solve: xΒ² βˆ’ x βˆ’ 6 < 0

    • A. x < βˆ’3 or x > 2
    • B. x < βˆ’2 or x > 3
    • C. βˆ’3 < x < 2
    • D. βˆ’2 < x < 3
  6. Question 6

    Solve: xΒ² + 6x + 8 < 0

    • A. βˆ’4 < x < βˆ’2
    • B. x < βˆ’4 or x > βˆ’2
    • C. 2 < x < 4
    • D. x < 2 or x > 4
  7. Question 7

    Solve: xΒ² + 8x + 12 > 0

    • A. 2 < x < 6
    • B. x < βˆ’6 or x > βˆ’2
    • C. βˆ’6 < x < βˆ’2
    • D. x < 2 or x > 6
  8. Question 8

    Solve: xΒ² βˆ’ 6x + 8 > 0

    • A. 2 < x < 4
    • B. x < 2 or x > 4
    • C. βˆ’4 < x < βˆ’2
    • D. x < βˆ’4 or x > βˆ’2
  9. Question 9

    Solve: xΒ² + 8x + 12 > 0

    • A. βˆ’6 < x < βˆ’2
    • B. 2 < x < 6
    • C. x < βˆ’6 or x > βˆ’2
    • D. x < 2 or x > 6
  10. Question 10

    Solve: xΒ² βˆ’ 4x βˆ’ 21 > 0

    • A. βˆ’7 < x < 3
    • B. x < βˆ’3 or x > 7
    • C. βˆ’3 < x < 7
    • D. x < βˆ’7 or x > 3
  11. Question 11

    Solve: xΒ² + 7x + 6 < 0

    • A. βˆ’6 < x < βˆ’1
    • B. 1 < x < 6
    • C. x < 1 or x > 6
    • D. x < βˆ’6 or x > βˆ’1
  12. Question 12

    Solve: xΒ² βˆ’ 4x βˆ’ 5 < 0

    • A. βˆ’5 < x < 1
    • B. βˆ’1 < x < 5
    • C. x < βˆ’5 or x > 1
    • D. x < βˆ’1 or x > 5
  13. Question 13

    Solve: xΒ² + 2x βˆ’ 3 > 0

    • A. βˆ’1 < x < 3
    • B. βˆ’3 < x < 1
    • C. x < βˆ’3 or x > 1
    • D. x < βˆ’1 or x > 3
  14. Question 14

    Solve: xΒ² βˆ’ 36 > 0

    • A. βˆ’6 < x < 6
    • B. x < βˆ’6 or x > 6
  15. Question 15

    Solve: xΒ² βˆ’ 2x βˆ’ 15 < 0

    • A. x < βˆ’3 or x > 5
    • B. x < βˆ’5 or x > 3
    • C. βˆ’5 < x < 3
    • D. βˆ’3 < x < 5
  16. Question 16

    Solve: xΒ² βˆ’ 8x + 12 < 0

    • A. βˆ’6 < x < βˆ’2
    • B. 2 < x < 6
    • C. x < βˆ’6 or x > βˆ’2
    • D. x < 2 or x > 6

All done? Color in the animal! Β· Free from eurekami.com/math

for the adult only

Answer key: Common Core HSA.REI.B.4 worksheet

  1. 1. B. x < βˆ’6 or x > 5

  2. 2. B. βˆ’4 < x < 1

  3. 3. C. βˆ’6 < x < βˆ’1

  4. 4. A. x < βˆ’5 or x > βˆ’4

  5. 5. D. βˆ’2 < x < 3

  6. 6. A. βˆ’4 < x < βˆ’2

  7. 7. B. x < βˆ’6 or x > βˆ’2

  8. 8. B. x < 2 or x > 4

  9. 9. C. x < βˆ’6 or x > βˆ’2

  10. 10. B. x < βˆ’3 or x > 7

  11. 11. A. βˆ’6 < x < βˆ’1

  12. 12. B. βˆ’1 < x < 5

  13. 13. C. x < βˆ’3 or x > 1

  14. 14. B. x < βˆ’6 or x > 6

  15. 15. D. βˆ’3 < x < 5

  16. 16. B. 2 < x < 6

HSA.REI.B.4 Worksheet: Quadratic inequalities | Eurekami