Linear Equations & Inequalities — Year 8 Practice Questions
Work through these Year 8 practice questions on linear equations and inequalities. Try each one before revealing the worked solution.
Questions
Solve x + 7 = 12.
Solve 4x = 28.
Solve 3x + 4 = 19.
Solve 2(x + 5) = 16.
Solve 5x = 2x + 12.
Solve 4x − 3 = 2x + 7.
Solve the inequality 2x + 1 > 9.
List the integer values of x that satisfy −1 ≤ x < 3.
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 = 28 ÷ 4 = 7.
Answer: x = 7
Question 3 Solution
Step 1: Subtract 4: 3x = 15.
Step 2: Divide by 3: x = 5.
Answer: x = 5
Question 4 Solution
Step 1: Expand: 2x + 10 = 16.
Step 2: Subtract 10: 2x = 6, so x = 3.
Answer: x = 3
Question 5 Solution
Step 1: Subtract 2x from both sides: 3x = 12.
Step 2: Divide by 3: x = 4.
Answer: x = 4
Question 6 Solution
Step 1: Subtract 2x: 2x − 3 = 7.
Step 2: Add 3: 2x = 10.
Step 3: Divide by 2: x = 5.
Answer: x = 5
Question 7 Solution
Step 1: Subtract 1: 2x > 8.
Step 2: Divide by 2: x > 4.
Answer: x > 4
Question 8 Solution
Step 1: x is greater than or equal to −1 and less than 3.
Step 2: The integers are −1, 0, 1 and 2 (3 is not included).
Answer: −1, 0, 1, 2
Build strong foundations in Linear Equations & Inequalities
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