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Common Core 8.EE.B.5 worksheet

8th grade (Year 9 in England) Β· 16 questions Β· Common Core: 8.EE.B.5, 8.EE.B.6, 8.F.B.4 Β· England: KS3 Algebra, GCSE Foundation Algebra

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  1. Question 1

    The line passes through the marked points (0, βˆ’3) and (3, 1). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = 1.333333333x βˆ’ 3(0, βˆ’3)(3, 1)

    Answer(as a fraction)

  2. Question 2

    Find the slope (gradient) of the line through (2, 0) and (βˆ’1, 6). Give a whole number or a fraction in simplest form.

    xyβˆ’12βˆ’6612βˆ’12βˆ’66120AB

    Answer(as a fraction)

  3. Question 3

    The line passes through the two marked points (0, βˆ’2) and (2, 0). What is its slope?

    xyβˆ’66βˆ’12βˆ’66120y = x βˆ’ 2AB

    Answer

  4. Question 4

    A line goes through (βˆ’3, βˆ’8) and (1, 4). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = 3x + 1AB

    Answer

  5. Question 5

    Kai cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (7, 70). What is the slope, and so the speed in km/h?

    xy123456789101020304050607080901000y = 10x(7, 70)

    Answer

  6. Question 6

    The line passes through the marked points (0, 2) and (2, 1). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’0.5x + 2(0, 2)(2, 1)

    Answer(as a fraction)

  7. Question 7

    Find the slope (gradient) of the line through (βˆ’5, 6) and (βˆ’7, 5). Give a whole number or a fraction in simplest form.

    xyβˆ’12βˆ’6612βˆ’12βˆ’66120AB

    Answer(as a fraction)

  8. Question 8

    The line passes through the two marked points (0, βˆ’1) and (2, βˆ’5). What is its slope?

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’2x βˆ’ 1AB

    Answer

  9. Question 9

    A line goes through (βˆ’2, βˆ’4) and (0, βˆ’2). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = x βˆ’ 2AB

    Answer

  10. Question 10

    Amara cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (4, 8). What is the slope, and so the speed in km/h?

    xy24681024681012141618200y = 2x(4, 8)

    Answer

  11. Question 11

    The line passes through the marked points (0, 0) and (3, 3). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = x(0, 0)(3, 3)

    Answer(as a fraction)

  12. Question 12

    Find the slope (gradient) of the line through (0, βˆ’1) and (2, 4). Give a whole number or a fraction in simplest form.

    xyβˆ’12βˆ’6612βˆ’12βˆ’66120AB

    Answer(as a fraction)

  13. Question 13

    The line passes through the two marked points (0, βˆ’4) and (2, βˆ’8). What is its slope?

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’2x βˆ’ 4AB

    Answer

  14. Question 14

    A line goes through (βˆ’2, 8) and (2, 0). Is its slope positive or negative, and what is it?

    xyβˆ’6βˆ’4βˆ’2246βˆ’20βˆ’16βˆ’12βˆ’8βˆ’4481216200y = βˆ’2x + 4AB

    Answer

  15. Question 15

    Felix cycles at a steady speed. The graph of distance (km) against time (hours) passes through (0, 0) and (5, 35). What is the slope, and so the speed in km/h?

    xy1234567891028560y = 7x(5, 35)

    Answer

  16. Question 16

    The line passes through the marked points (0, 4) and (1, 1). What is its slope? Give a whole number or fraction.

    xyβˆ’66βˆ’12βˆ’66120y = βˆ’3x + 4(0, 4)(1, 1)

    Answer(as a fraction)

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Answer key: Common Core 8.EE.B.5 worksheet

  1. 1. 4/3

  2. 2. -2

  3. 3. 1

  4. 4. 3

  5. 5. 10

  6. 6. -1/2

  7. 7. 1/2

  8. 8. -2

  9. 9. 1

  10. 10. 2

  11. 11. 1

  12. 12. 5/2

  13. 13. -2

  14. 14. -2

  15. 15. 7

  16. 16. -3

8.EE.B.5 Worksheet: Slope (gradient) of a line | Eurekami