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Linear and quadratic systems

10th grade (Year 11 in England) · 16 questions · Common Core: HSA.REI.C.7 · England: GCSE Higher Algebra

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  1. Question 1

    Solve the system y = x² + 4x + 9 and y = −2x + 4. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −2x + 4

    x =

  2. Question 2

    Solve the system y = x² − 3x − 12 and y = x. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = x

    x =

  3. Question 3

    Solve the system y = x² − x − 22 and y = −2. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −2

    x =

  4. Question 4

    Solve the system y = x² + 8x + 8 and y = x − 4. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = x − 4

    x =

  5. Question 5

    Solve the system y = x² − 10x + 17 and y = −2x + 2. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −2x + 2

    x =

  6. Question 6

    Solve the system y = x² − 4x − 8 and y = −3x + 4. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −3x + 4

    x =

  7. Question 7

    Solve the system y = x² + x and y = 2. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 2

    x =

  8. Question 8

    Solve the system y = x² + 6x + 6 and y = 1. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 1

    x =

  9. Question 9

    Solve the system y = x² − 3x − 29 and y = −2x + 1. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −2x + 1

    x =

  10. Question 10

    Solve the system y = x² + 10x + 7 and y = 3x − 3. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 3x − 3

    x =

  11. Question 11

    Solve the system y = x² + 11x + 11 and y = 3x − 4. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 3x − 4

    x =

  12. Question 12

    Solve the system y = x² − 2x + 3 and y = 2x. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 2x

    x =

  13. Question 13

    Solve the system y = x² − 12x + 21 and y = −2x − 3. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −2x − 3

    x =

  14. Question 14

    Solve the system y = x² + 6x + 10 and y = 5. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 5

    x =

  15. Question 15

    Solve the system y = x² − 5x − 8 and y = −2x + 2. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = −2x + 2

    x =

  16. Question 16

    Solve the system y = x² + 2x − 26 and y = 2x − 1. Give the x-values, separated by a comma.

    xy−8−448−20−16−12−8−4481216200y = 2x − 1

    x =

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