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Compare two functions given in different ways

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.F.A.2 Β· England: KS3 Algebra

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  1. Question 1

    Function A: y = βˆ’x + 3. Function B is a line through (1, 4) and (2, 0). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  2. Question 2

    Mateo's savings: y = 7x + 0. Omar's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 6, 9, 12, 15. Who saves more per week?

    • A. Mateo
    • B. Omar
  3. Question 3

    Function A: y = 3x. Function B is a line through (1, 5) and (2, 7). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  4. Question 4

    Liam's savings: y = 5x + 1. Kwame's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 2, 5, 8, 11. Who saves more per week?

    • A. Liam
    • B. Kwame
  5. Question 5

    Function A: y = 4x + 8. Function B is a line through (1, 8) and (2, 10). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  6. Question 6

    Ravi's savings: y = 6x + 4. Aisha's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 10, 15, 20, 25. Who saves more per week?

    • A. Ravi
    • B. Aisha
  7. Question 7

    Function A: y = βˆ’x + 6. Function B is a line through (1, βˆ’5) and (2, βˆ’8). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  8. Question 8

    Ines's savings: y = 5x + 3. Ravi's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 10, 13, 16, 19. Who saves more per week?

    • A. Ines
    • B. Ravi
  9. Question 9

    Function A: y = βˆ’4x. Function B is a line through (1, 5) and (2, 6). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  10. Question 10

    Hana's savings: y = 2x + 2. Kofi's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 2, 10, 18, 26. Who saves more per week?

    • A. Hana
    • B. Kofi
  11. Question 11

    Function A: y = βˆ’x + 2. Function B is a line through (1, βˆ’6) and (2, βˆ’7). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  12. Question 12

    Mateo's savings: y = 9x + 8. Arjun's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 6, 13, 20, 27. Who saves more per week?

    • A. Mateo
    • B. Arjun
  13. Question 13

    Function A: y = 4x + 7. Function B is a line through (1, βˆ’6) and (2, βˆ’8). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  14. Question 14

    Jamal's savings: y = 8x + 2. Kai's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 6, 15, 24, 33. Who saves more per week?

    • A. Jamal
    • B. Kai
  15. Question 15

    Function A: y = 2x. Function B is a line through (1, 7) and (2, 8). Which has the greater initial value (y-intercept)?

    • A. A
    • B. B
  16. Question 16

    Sofia's savings: y = 4x + 1. Leo's savings (x = weeks): weeks 0, 1, 2, 3 β†’ 3, 12, 21, 30. Who saves more per week?

    • A. Sofia
    • B. Leo

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Answer key: Compare two functions given in different ways

  1. 1. B. B

  2. 2. A. Mateo

  3. 3. B. B

  4. 4. A. Liam

  5. 5. A. A

  6. 6. A. Ravi

  7. 7. A. A

  8. 8. A. Ines

  9. 9. B. B

  10. 10. B. Kofi

  11. 11. A. A

  12. 12. A. Mateo

  13. 13. A. A

  14. 14. B. Kai

  15. 15. B. B

  16. 16. B. Leo