Grade 7 · Math

Solve two-step equations

Undo addition and multiplication to isolate a variable.

8 generated examples + worked example

Worked example

Solve 4x + 3 = 23.

Answer & why

Answer: 5

Subtract 3 to get 4x = 20; divide by 4 to get x = 5.

Add to plan

Try these examples

8 reproducible examples from this math generator. Choose New examples for another set.

Question 1

Solve for x: 5x + 10 = 75.

  1. 12
  2. 16
  3. 17
  4. 13
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 13

Subtract 10 to get 5x = 65. Divide by 5: x = 13.

Add to plan

Question 2

Solve for x: 12x + 8 = 20.

  1. 5
  2. 1
  3. 0
  4. 2
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 1

Subtract 8 to get 12x = 12. Divide by 12: x = 1.

Add to plan

Question 3

Solve for x: 4x + 9 = 41.

  1. 6
  2. 8
  3. 9
  4. 7
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 8

Subtract 9 to get 4x = 32. Divide by 4: x = 8.

Add to plan

Question 4

Solve for x: 11x + 12 = 166.

  1. 12
  2. 14
  3. 16
  4. 17
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 14

Subtract 12 to get 11x = 154. Divide by 11: x = 14.

Add to plan

Question 5

Solve for x: 11x + 9 = 53.

  1. 7
  2. 2
  3. 4
  4. 5
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 4

Subtract 9 to get 11x = 44. Divide by 11: x = 4.

Add to plan

Question 6

Solve for x: 7x + 18 = 95.

  1. 11
  2. 12
  3. 10
  4. 14
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 11

Subtract 18 to get 7x = 77. Divide by 7: x = 11.

Add to plan

Question 7

Solve for x: 11x + 2 = 46.

  1. 2
  2. 6
  3. 4
  4. 5
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 4

Subtract 2 to get 11x = 44. Divide by 11: x = 4.

Add to plan

Question 8

Solve for x: 7x + 4 = 11.

  1. 4
  2. 3
  3. 2
  4. 1
A hint

Undo addition first, then multiplication, on both sides.

Answer & why

Answer: 1

Subtract 4 to get 7x = 7. Divide by 7: x = 1.

Add to plan