MathClass 7–8Free printable

Linear Equations

Equations in one variable

17 questions · about 50 minutes · answer key included

Name Class Date ⭐ Score / 17

An equation is like a balance: whatever you do to one side, do to the other. Check every answer by putting it back into the equation.

Part AWarm-up

  1. x + 7 = 15
  2. 3x = 42
  3. 5x − 8 = 27
  4. x/4 + 3 = 9
  5. 2(x + 5) = 26
  6. 7 − 3x = −11

Part BVariables on both sides

  1. 5x + 4 = 2x + 19
  2. 3(x − 2) = x + 10
  3. 4x/3 − 5 = x + 1
  4. (x + 3)/2 = (2x − 1)/3
  5. 0.5x + 3 = 0.2x + 6
  6. 6 − 2(x − 1) = 3x − 7

Part CWord problems

Let the unknown be x, write an equation, then solve it.

  1. 🔢 The sum of three consecutive integers is 72. Find the integers.
  2. ➕ One number is 12 more than twice another. Their sum is 57. Find the numbers.
  3. 👨‍👦 A father is three times as old as his son. In 12 years he will be twice as old as his son. Find their present ages.
  4. 📐 The perimeter of a rectangle is 64 cm. Its length is 8 cm more than its breadth. Find its length and breadth.
  5. 🪢 A 40 m rope is cut into two pieces so that one piece is 3/5 of the other. Find the length of each piece.

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