Back to Common Core worksheets
PrintablePractice worksheet
Do it🖨️ On paper✏️ On screen
Layout1 column2 columns
Answer keyNoneAnswersWith steps
Questions10162430
LevelEasierMixedHarder
Print sizeNormalLarge print
New copyMake a new one

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

eurekami

Common Core HSA.REI.C.7 worksheet

High school · 16 questions · Common Core: HSA.REI.C.7 · England: GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

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

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

    x =

  2. Question 2

    Solve the system y = x² + x − 13 and y = −2x − 3. Give the x-values, separated by a comma.

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

    x =

  3. Question 3

    Solve the system y = x² − 5x + 11 and y = x + 3. Give the x-values, separated by a comma.

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

    x =

  4. Question 4

    Solve the system y = x² − 3x + 2 and y = −x + 5. Give the x-values, separated by a comma.

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

    x =

  5. Question 5

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

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

    x =

  6. Question 6

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

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

    x =

  7. Question 7

    Solve the system y = x² − 21 and y = 4. Give the x-values, separated by a comma.

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

    x =

  8. Question 8

    Solve the system y = x² + 8x + 11 and y = 2x + 3. Give the x-values, separated by a comma.

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

    x =

  9. Question 9

    Solve the system y = x² + 7x + 6 and y = 2x + 2. Give the x-values, separated by a comma.

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

    x =

  10. Question 10

    Solve the system y = x² + 5x − 7 and y = x − 2. Give the x-values, separated by a comma.

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

    x =

  11. Question 11

    Solve the system y = x² − 5x + 13 and y = 3x − 2. Give the x-values, separated by a comma.

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

    x =

  12. Question 12

    Solve the system y = x² − 8x + 27 and y = 2x + 3. Give the x-values, separated by a comma.

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

    x =

  13. Question 13

    Solve the system y = x² + 5x + 9 and y = −x + 4. Give the x-values, separated by a comma.

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

    x =

  14. Question 14

    Solve the system y = x² + 5x + 14 and y = −2x + 4. Give the x-values, separated by a comma.

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

    x =

  15. Question 15

    Solve the system y = x² − 5 and y = −4. Give the x-values, separated by a comma.

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

    x =

  16. Question 16

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

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

    x =

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

for the adult only

Answer key: Common Core HSA.REI.C.7 worksheet

  1. 1. x = -2 or x = 1

  2. 2. x = -5 or x = 2

  3. 3. x = 2 or x = 4

  4. 4. x = -1 or x = 3

  5. 5. x = -2 or x = 2

  6. 6. x = -2 or x = 3

  7. 7. x = -5 or x = 5

  8. 8. x = -4 or x = -2

  9. 9. x = -4 or x = -1

  10. 10. x = -5 or x = 1

  11. 11. x = 3 or x = 5

  12. 12. x = 4 or x = 6

  13. 13. x = -5 or x = -1

  14. 14. x = -5 or x = -2

  15. 15. x = -1 or x = 1

  16. 16. x = 1 or x = 4

HSA.REI.C.7 Worksheet: Linear and quadratic systems | Eurekami