Equations & Formulae — Year 7 Practice Questions
9 marks · Suggested time: 20 minutes
Practise solving equations and using formulae with these Year 7 questions. Try each before revealing the solution.
Questions
Solve x + 7 = 12.
Solve 4x = 20.
Solve 3x + 4 = 19.
Solve 2x − 5 = 9.
The perimeter of a square is given by P = 4s. Find P when s = 6 cm.
Solve x/3 = 4.
Answers & Worked Solutions
Question 1 Solution
Step 1: Subtract 7 from both sides.
Step 2: x = 12 − 7 = 5.
Answer: x = 5
Question 2 Solution
Step 1: Divide both sides by 4.
Step 2: x = 20 ÷ 4 = 5.
Answer: x = 5
Question 3 Solution
Step 1: Subtract 4 from both sides: 3x = 15.
Step 2: Divide both sides by 3: x = 5.
Answer: x = 5
Question 4 Solution
Step 1: Add 5 to both sides: 2x = 14.
Step 2: Divide both sides by 2: x = 7.
Answer: x = 7
Question 5 Solution
Step 1: Substitute s = 6: P = 4 × 6.
Step 2: P = 24 cm.
Answer: 24 cm
Question 6 Solution
Step 1: Multiply both sides by 3.
Step 2: x = 4 × 3 = 12.
Answer: x = 12
Frequently Asked Questions
How do I check my solution?
Substitute your answer back into the original equation. For 3x + 4 = 19 with x = 5: 3 × 5 + 4 = 19, which is correct.
Build strong foundations in Equations & Formulae
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