Grade 6 Equations: Mixed Review

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   Solve: 7x + 14 = 35

   1. Subtract 14 from both sides: 7x = 35 − 14 = 21.
   2. Divide both sides by 7: x = 21 ÷ 7 = 3.
   3. Check: 7 × 3 + 14 = 35 ✓ So x = 3.

   Answer: 3

2. Example 2

   Solve: 3x + 14 = 20

   1. Subtract 14 from both sides: 3x = 20 − 14 = 6.
   2. Divide both sides by 3: x = 6 ÷ 3 = 2.
   3. Check: 3 × 2 + 14 = 20 ✓ So x = 2.

   Answer: 2

3. Example 3

   Solve: 3x + 1 = 7

   1. Subtract 1 from both sides: 3x = 7 − 1 = 6.
   2. Divide both sides by 3: x = 6 ÷ 3 = 2.
   3. Check: 3 × 2 + 1 = 7 ✓ So x = 2.

   Answer: 2