Let’s solve each equation one by one. We’ll do the inverse operation on both sides to isolate x, then write the solution.
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Q1: x + 9 = 14
Inverse: subtract 9 from both sides
x + 9 - 9 = 14 - 9 → x = 5
Q2: x + 12 = 20
Inverse: subtract 12 from both sides
x + 12 - 12 = 20 - 12 → x = 8
Q3: x - 4 = 2
Inverse: add 4 to both sides
x - 4 + 4 = 2 + 4 → x = 6
Q4: x - 10 = 13
Inverse: add 10 to both sides
x - 10 + 10 = 13 + 10 → x = 23
Q5: 8x = 48
Inverse: divide both sides by 8
8x ÷ 8 = 48 ÷ 8 → x = 6
Q6: 9x = 99
Inverse: divide both sides by 9
9x ÷ 9 = 99 ÷ 9 → x = 11
Q7: x/4 = 12
Inverse: multiply both sides by 4
(x/4) × 4 = 12 × 4 → x = 48
Q8: x/10 = 3
Inverse: multiply both sides by 10
(x/10) × 10 = 3 × 10 → x = 30
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Final Answer:
Q1: x = 5
Q2: x = 8
Q3: x = 6
Q4: x = 23
Q5: x = 6
Q6: x = 11
Q7: x = 48
Q8: x = 30
Parent Tip: Review the logic above to help your child master the concept of solving equations using inverse operation worksheet.