Math · Equations

Solving Two-Step Equations

Solve equations like 3x + 5 = 20 and 2(x + 4) = 18, including negative solutions and word problems.

  • 🎓 Grade 7
  • 🧮 Math
  • 📐 7.EE.B.4a
  • ❓ 24 questions
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  1. Solve: 7x − 15 = −29

    • A x = −2
    • B x = 2
    • C x = −1
    • D x = −14

    Undo addition or subtraction first, then multiplication or division.

  2. Solve: 2(x + 15) = 18

    • A x = −6
    • B x = 24
    • C x = 3
    • D x = 6

    Undo addition or subtraction first, then multiplication or division.

  3. Solve: 9x − 4 = 50

    • A x = 54
    • B x = −6
    • C x = 7
    • D x = 6

    Undo addition or subtraction first, then multiplication or division.

  4. Solve: −2x + 15 = 3

    • A x = −6
    • B x = −9
    • C x = 6
    • D x = −12

    Undo addition or subtraction first, then multiplication or division.

  5. Solve: x/8 + 3 = 15

    • A x = 144
    • B x = 117
    • C x = 12
    • D x = 96

    Subtract 3, then multiply by 8: x = 96.

  6. Solve: −5x + 15 = 45

    • A x = −12
    • B x = −6
    • C x = 30
    • D x = 6

    Undo addition or subtraction first, then multiplication or division.

  7. Solve: 8(x + 2) = 96

    • A x = −10
    • B x = 14
    • C x = 94
    • D x = 10

    Undo addition or subtraction first, then multiplication or division.

  8. Solve: 2(x + 8) = 12

    • A x = 2
    • B x = 4
    • C x = 14
    • D x = −2

    Undo addition or subtraction first, then multiplication or division.

  9. Solve: 4x + 15 = 31

    • A x = 4
    • B x = 16
    • C x = 5
    • D x = −4

    Undo addition or subtraction first, then multiplication or division.

  10. Solve: −5x + 6 = −24

    • A x = −6
    • B x = 6
    • C x = 7
    • D x = −30

    Undo addition or subtraction first, then multiplication or division.

  11. Solve: 2x − 8 = 12

    • A x = 20
    • B x = 2
    • C x = 14
    • D x = 10

    Undo addition or subtraction first, then multiplication or division.

  12. Solve: 6x − 10 = −40

    • A x = −5
    • B x = −30
    • C x = −4
    • D x = 5

    Undo addition or subtraction first, then multiplication or division.

  13. Solve: 2x + 9 = 25

    • A x = 17
    • B x = 8
    • C x = −8
    • D x = 16

    Undo addition or subtraction first, then multiplication or division.

  14. Solve: −4x + 5 = −15

    • A x = −20
    • B x = 6
    • C x = 5
    • D x = −5

    Undo addition or subtraction first, then multiplication or division.

  15. Solve: x/8 + 5 = 7

    • A x = 16
    • B x = 51
    • C x = 2
    • D x = 96

    Subtract 5, then multiply by 8: x = 16.

  16. Solve: x/2 + 10 = 22

    • A x = 34
    • B x = 12
    • C x = 24
    • D x = 64

    Subtract 10, then multiply by 2: x = 24.

  17. Solve: 2x + 6 = 0

    • A x = −6
    • B x = −3
    • C x = −2
    • D x = 3

    Undo addition or subtraction first, then multiplication or division.

  18. Solve: 2x + 13 = −5

    • A x = 9
    • B x = −18
    • C x = 4
    • D x = −9

    Undo addition or subtraction first, then multiplication or division.

  19. Tickets cost $8 each plus a $5 fee. Sara paid $61. How many tickets did she buy?

    • A 56
    • B 6
    • C 7
    • D 8

    8t + 5 = 61, so 8t = 56 and t = 7.

  20. Solve: x/7 + 1 = 6

    • A x = 41
    • B x = 49
    • C x = 35
    • D x = 5

    Subtract 1, then multiply by 7: x = 35.

  21. Solve: 2x + 3 = 7

    • A x = 5
    • B x = 2
    • C x = −2
    • D x = 4

    Undo addition or subtraction first, then multiplication or division.

  22. Solve: 3(x + 1) = 9

    • A x = 2
    • B x = 8
    • C x = 4
    • D x = −2

    Undo addition or subtraction first, then multiplication or division.

  23. A gym charges $20 to join plus $15 a month. Lee paid $110. Which equation finds the months m?

    • A 15(m + 20) = 110
    • B 15m + 20 = 110
    • C 20m + 15 = 110
    • D 15m − 20 = 110
  24. Solve: 3x − 8 = 1

    • A x = 4
    • B x = 3
    • C x = 9
    • D x = −3

    Undo addition or subtraction first, then multiplication or division.

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