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Common Core 8.F.B.4 worksheet

8th grade (Year 9 in England) · 16 questions · Common Core: 8.EE.B.5, 8.EE.B.6, 8.F.B.4, HSA.CED.A.2 · England: KS3 Algebra, GCSE Foundation Algebra, GCSE Higher Algebra

Name

Date

Score/ 16

  1. Question 1

    A line has slope 4 and passes through (5, 13). What is its y-intercept?

    Answer

  2. Question 2

    The cost of a pottery class is C = 8h + 13, where h is hours. What does 13 represent?

    • A. The cost per hour
    • B. The number of hours
    • C. A fixed fee paid even for 0 hours
    • D. The total cost for 13 hours

  3. Question 3

    A phone's battery charge (%) is measured while charging. After 1, 2, 4 and 5 ten-minute periods it reads 58, 66, 82, 90%. By how many percentage points does it rise per ten-minute period?

    Answer

  4. Question 4

    What kind of slope does the line through (−3, −1) and (2, −1) have?

    xy−66−12−66120(−3, −1)(2, −1)
    • A. Positive
    • B. Negative
    • C. Zero
    • D. Undefined

  5. Question 5

    A line has slope −1 and crosses the y-axis at −6. Write its equation as y = … (type the right-hand side).

    Answer

  6. Question 6

    Find the slope of −3x + 3y = −9. Give a whole number or fraction.

    Answer(as a fraction)

  7. Question 7

    x: 0, 2, 4, 6. y: −5, −2, 1, 4. Find the slope. Give a fraction in simplest form.

    Answer(as a fraction)

  8. Question 8

    What kind of slope would the graph have? The price of a monthly subscription that never changes, against months.

    • A. Positive
    • B. Negative
    • C. Zero

  9. Question 9

    Find the equation of the line through (0, 5) and (2, −3). Type the right-hand side (y = …).

    Answer

  10. Question 10

    The line passes through the marked points (0, −1) and (3, 5). What is its slope? Give a whole number or fraction.

    xy−66−12−66120y = 2x − 1(0, −1)(3, 5)

    Answer(as a fraction)

  11. Question 11

    Find the equation of the line through (−1, 6) and (0, 4). Type the right-hand side of y = … .

    Answer

  12. Question 12

    x: 3, 8, 13, 18. y: −6, −16, −26, −36. What is the rate of change (slope)?

    Answer

  13. Question 13

    Write the equation of the line with slope −5 and y-intercept 1. Type the right-hand side (y = …).

    Answer

  14. Question 14

    Ana says the line through (0, 1) with slope −2 is y = x − 2. Write the correct equation. Type the right-hand side.

    Answer

  15. Question 15

    Write the equation of the line shown. Type the right-hand side (y = …).

    xy−66−12−66120y = −x − 1(0, −1)(2, −3)

    Answer

  16. Question 16

    For 4x + 2y = 32, find the y-intercept.

    Answer

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Answer key: Common Core 8.F.B.4 worksheet

  1. 1. -7

  2. 2. C. A fixed fee paid even for 0 hours

  3. 3. 8

  4. 4. C. Zero

  5. 5. -x-6

  6. 6. 1

  7. 7. 3/2

  8. 8. C. Zero

  9. 9. -4x+5

  10. 10. 2

  11. 11. -2x+4

  12. 12. -2

  13. 13. -5x+1

  14. 14. -2x+1

  15. 15. -x-1

  16. 16. 16

8.F.B.4 Worksheet: Slope (gradient) of a line | Eurekami