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6th grade algebra

6th grade (Year 7 in England) · 16 questions · Common Core: 6.EE.A.2.A, 6.EE.A.2.B, 6.EE.B.6, 6.EE.A.2.C · England: Y6 Algebra, KS3 Algebra, GCSE Foundation Algebra

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Date

Score/ 16

  1. Question 1

    Which equation matches the table? x: 1, 2, 3, 4 → y: 6, 7, 8, 9

    • A. y = x − 5
    • B. y = 5x
    • C. y = 6x
    • D. y = x + 5
  2. Question 2

    Solve: (3/4)x = 6

    x =

  3. Question 3

    Work out (4 + 1)² − 4 × 2.

    Answer

  4. Question 4

    Solve: x + 20 = 92

    x + 20=92

    x =

  5. Question 5

    The perimeter of a rectangle is P = 2(l + w). Find P when l = 5 and w = 3.

    Answer

  6. Question 6

    Solve: x/6 = −1

    x =

  7. Question 7

    The volume of a cube is V = s³. Find V when s = 7 cm.

    Answer

  8. Question 8

    Simplify 2x − 7x.

    Answer

  9. Question 9

    The graph has an open circle at 5 and an arrow pointing left. Write the inequality for x.

    ←−10−8−6−4−20246810○

    Answer

  10. Question 10

    Simplify 6x + 8 − 2x + 1.

    Answer

  11. Question 11

    Which inequality matches: The speed limit is 43 km/h (s = speed).

    • A. s > 43
    • B. s < 43
    • C. s ≥ 43
    • D. s ≤ 43
  12. Question 12

    Distance = speed × time (d = st). A train travels at 90 km/h for 2 hours. How far does it go, in km?

    Answer

  13. Question 13

    Solve: x ÷ 4 = 5

    x =

  14. Question 14

    Expand 9(x + 3).

    Answer

  15. Question 15

    How many terms are in the expression 2n + 3y + 2 + 8b?

    Answer

  16. Question 16

    To change °C to °F, use F = 1.8C + 32. What is 40 °C in °F?

    Answer

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Answer key: 6th grade algebra

  1. 1. D. y = x + 5

  2. 2. x = 8

  3. 3. 17

  4. 4. x = 72

  5. 5. 16

  6. 6. x = -6

  7. 7. 343

  8. 8. -5x

  9. 9. x < 5

  10. 10. 4x+9

  11. 11. D. s ≤ 43

  12. 12. 180

  13. 13. x = 20

  14. 14. 9x+27

  15. 15. 4

  16. 16. 104