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Number Quest · Masters (16+)

Quadratics

Name Date

Circle the right answer.

  1. 1.Expand (x + 7)(x + 4). What is the coefficient of x?

    3281211

  2. 2.Where does this graph cross the y-axis?

    -1123456-5-4-3-2-1123456xy

    y = 6y = -5y = 5y = 1

  3. 3.What is the sum of the roots of x² − 6x + 9 = 0?

    679-6

  4. 4.Expand (x + 2)(x + 7). What is the coefficient of x?

    145910

  5. 5.Expand (x + 3)(x + 6). What is the coefficient of x?

    931018

  6. 6.This is the graph of y = x² + x − 6. Use it to solve x² + x − 6 = 0. What is the larger value of x?

    -4-3-2-1123-8-7-6-5-4-3-2-1123xy

    -32-6-2

  7. 7.Expand (x + 2)(x + 3). What is the coefficient of x?

    4561

  8. 8.If x² = 36 and x > 0, what is x?

    96-618

  9. 9.Expand (x + 6)(x + 4). What is the coefficient of x?

    1110242

  10. 10.This is the graph of y = x² + 2x − 8. Use it to solve x² + 2x − 8 = 0. What is the larger value of x?

    -5-4-3-2-1123-10-9-8-7-6-5-4-3-2-1123xy

    -42-2-8

  11. 11.Where does this graph cross the x-axis?

    -2-112-2-1123xy

    x = -1 and x = 1x = 0 and x = 2x = -2 and x = 0x = -1 and x = -1

  12. 12.This is the graph of y = −x² + 7x − 10. Use it to solve −x² + 7x − 10 = 0. What is the larger value of x?

    -1123456-3-2-11234xy

    5-5-102

  13. 13.What is the sum of the roots of x² − 15x + 54 = 0?

    1554-1516

  14. 14.If x² = 25 and x > 0, what is x?

    -5512.56.25

  15. 15.Expand (x + 1)(x + 1). What is the coefficient of x?

    3142

  16. 16.Where does this graph cross the y-axis?

    -2-1123-3-2-11234xy

    y = 3y = -2y = 2y = -1

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Answers · Quadratics

  1. 1. 11
  2. 2. y = 5
  3. 3. 6
  4. 4. 9
  5. 5. 9
  6. 6. 2
  7. 7. 5
  8. 8. 6
  9. 9. 10
  10. 10. 2
  11. 11. x = -1 and x = 1
  12. 12. 5
  13. 13. 15
  14. 14. 5
  15. 15. 2
  16. 16. y = 2