Explanation:
We need to balance each equation by finding the missing number. That means both sides of the “=” sign must be equal.
Let’s solve each one step by step:
1. $42 + 17 = 83 - \underline{\quad}$
Left side: $42 + 17 = 59$
So: $59 = 83 - x$ → $x = 83 - 59 = 24$
2. $\underline{\quad} + 18 = 77 - 12$
Right side: $77 - 12 = 65$
So: $x + 18 = 65$ → $x = 65 - 18 = 47$
3. $21 + 43 = 87 - \underline{\quad}$
Left: $21 + 43 = 64$
So: $64 = 87 - x$ → $x = 87 - 64 = 23$
4. $\underline{\quad} + 33 = 55 - 15$
Right: $55 - 15 = 40$
So: $x + 33 = 40$ → $x = 40 - 33 = 7$
5. $44 - 18 = 70 - \underline{\quad}$
Left: $44 - 18 = 26$
So: $26 = 70 - x$ → $x = 70 - 26 = 44$
6. $32 - 25 = \underline{\quad} - 43$
Left: $32 - 25 = 7$
So: $7 = x - 43$ → $x = 7 + 43 = 50$
7. $\underline{\quad} + 33 = 75 - 12$
Right: $75 - 12 = 63$
So: $x + 33 = 63$ → $x = 63 - 33 = 30$
8. $11 + 93 = \underline{\quad} - 16$
Left: $11 + 93 = 104$
So: $104 = x - 16$ → $x = 104 + 16 = 120$
9. $42 - 23 = \underline{\quad} - 12$
Left: $42 - 23 = 19$
So: $19 = x - 12$ → $x = 19 + 12 = 31$
10. $32 + \underline{\quad} = 12 + 54$
Right: $12 + 54 = 66$
So: $32 + x = 66$ → $x = 66 - 32 = 34$
11. $\underline{\quad} - 12 = 61 - 32$
Right: $61 - 32 = 29$
So: $x - 12 = 29$ → $x = 29 + 12 = 41$
12. $\underline{\quad} + 18 = 54 - 21$
Right: $54 - 21 = 33$
So: $x + 18 = 33$ → $x = 33 - 18 = 15$
13. $\underline{\quad} - 13 = 53 - 11$
Right: $53 - 11 = 42$
So: $x - 13 = 42$ → $x = 42 + 13 = 55$
14. $32 + 69 = \underline{\quad} - 46$
Left: $32 + 69 = 101$
So: $101 = x - 46$ → $x = 101 + 46 = 147$
15. $\underline{\quad} + 25 = 68 - 22$
Right: $68 - 22 = 46$
So: $x + 25 = 46$ → $x = 46 - 25 = 21$
16. $32 + 19 = \underline{\quad} - 15$
Left: $32 + 19 = 51$
So: $51 = x - 15$ → $x = 51 + 15 = 66$
Let me double-check a few to be safe:
- #1: 42+17=59, 83−24=59
✔
- #6: 32−25=7, 50−43=7
✔
- #14: 32+69=101, 147−46=101
✔
All look correct.
Final Answer:
24, 47, 23, 7, 44, 50, 30, 120, 31, 34, 41, 15, 55, 147, 21, 66
Parent Tip: Review the logic above to help your child master the concept of balancing equations easy worksheet.