Balancing Equations Elementary Algebra Worksheet Printable - Free Printable

Here are the step-by-step solutions for each problem on the worksheet. The goal is to make sure both sides of the equal sign have the same value.

1. $22 \times 2 = 11 \times \_\_\_$
* Left side: $22 \times 2 = 44$
* Right side needs to equal 44. So, $11 \times ? = 44$.
* $44 \div 11 = 4$
* Answer: 4

2. $14 \times 8 = 2 \times \_\_\_$
* Left side: $14 \times 8 = 112$
* Right side needs to equal 112. So, $2 \times ? = 112$.
* $112 \div 2 = 56$
* Answer: 56

3. $31 \times 3 = 64 + \_\_\_$
* Left side: $31 \times 3 = 93$
* Right side needs to equal 93. So, $64 + ? = 93$.
* $93 - 64 = 29$
* Answer: 29

4. $52 \times 2 = \_\_\_ + 83$
* Left side: $52 \times 2 = 104$
* Right side needs to equal 104. So, $? + 83 = 104$.
* $104 - 83 = 21$
* Answer: 21

5. $41 + 19 = 30 \times \_\_\_$
* Left side: $41 + 19 = 60$
* Right side needs to equal 60. So, $30 \times ? = 60$.
* $60 \div 30 = 2$
* Answer: 2

6. $15 \times 2 = \_\_\_ \times 3$
* Left side: $15 \times 2 = 30$
* Right side needs to equal 30. So, $? \times 3 = 30$.
* $30 \div 3 = 10$
* Answer: 10

7. $23 \times 2 = \_\_\_ + 12$
* Left side: $23 \times 2 = 46$
* Right side needs to equal 46. So, $? + 12 = 46$.
* $46 - 12 = 34$
* Answer: 34

8. $42 + 30 = \_\_\_ \times 8$
* Left side: $42 + 30 = 72$
* Right side needs to equal 72. So, $? \times 8 = 72$.
* $72 \div 8 = 9$
* Answer: 9

9. $\_\_\_ \times 12 = 21 + 3$
* Right side: $21 + 3 = 24$
* Left side needs to equal 24. So, $? \times 12 = 24$.
* $24 \div 12 = 2$
* Answer: 2

10. $21 \times \_\_\_ = 30 + 33$
* Right side: $30 + 33 = 63$
* Left side needs to equal 63. So, $21 \times ? = 63$.
* $63 \div 21 = 3$
* Answer: 3

11. $\_\_\_ + 34 = 31 \times 4$
* Right side: $31 \times 4 = 124$
* Left side needs to equal 124. So, $? + 34 = 124$.
* $124 - 34 = 90$
* Answer: 90

12. $54 + \_\_\_ = 23 \times 5$
* Right side: $23 \times 5 = 115$
* Left side needs to equal 115. So, $54 + ? = 115$.
* $115 - 54 = 61$
* Answer: 61

13. $\_\_\_ \times 5 = 15 + 55$
* Right side: $15 + 55 = 70$
* Left side needs to equal 70. So, $? \times 5 = 70$.
* $70 \div 5 = 14$
* Answer: 14

14. $42 + 14 = \_\_\_ \times 4$
* Left side: $42 + 14 = 56$
* Right side needs to equal 56. So, $? \times 4 = 56$.
* $56 \div 4 = 14$
* Answer: 14

15. $\_\_\_ + 33 = 52 \times 2$
* Right side: $52 \times 2 = 104$
* Left side needs to equal 104. So, $? + 33 = 104$.
* $104 - 33 = 71$
* Answer: 71

16. $41 + 52 = \_\_\_ \times 3$
* Left side: $41 + 52 = 93$
* Right side needs to equal 93. So, $? \times 3 = 93$.
* $93 \div 3 = 31$
* Answer: 31

Final Answer:
1. 4
2. 56
3. 29
4. 21
5. 2
6. 10
7. 34
8. 9
9. 2
10. 3
11. 90
12. 61
13. 14
14. 14
15. 71
16. 31