Solve 1
? + 15 = 45
? + 15 = 45
- 15 - 15
30
6 x ? = 54
6 x ? = 54
/6 /6
9
75 - ? = 25
75 - 100 = 25
75 - ? = 25
75 - 50 = 25
The PE teacher unpacked some soccer balls.
After 12 soccer balls were added to the equipment shed, there were 35 soccer balls altogether.
How many soccer balls were in the shed to begin with?
Write a balanced equation:
□ + 12 = 35
? + 12 = 35
-12 -12
23
72 divided by ? = 8
72 divided by ? = 8
72 divided by 9 = 8
23 + 17 - ? = 32
23 + 17 - ? = 32
23 + 17 = 40
40 - ? = 32
8
12 x 5 = 48
12 x 4 = 48
12 x 5 = 60
The school library ordered some new books.
After 18 new books arrived, the library had 250 new books in the display.
How many books were already on display?
? + 18 = 250
- 18 - 18
232
18 x ? = 54
18 x ? = 54
54 divided by 18 = 3
112 = ? - 306
112 = ? - 306
+112
418
12 + 14 - ? = 15
12 + 14 - 13 = 15
12 + 14 - ? = 15
12 + 14 = 26
26 - ? = 15
26 - 15 = 11
The Year 6 students raised money for a local charity.
Before the school fete, they had already raised some money. At the fete, they raised $179, and then a local business donated $85.
In total, they raised $750.
How much money had the students raised before the fete?
Write a balanced equation:
□ + 179 + 85 = 750
179 + 85 = 263
? + 263 = 750
-263 -263
487
16 × 5 = ? + 40
16 × 5 = ? + 40
80 = ? + 40
- 40 - 40
40 = ?
? + 19 = 175 ÷ 5
? + 19 = 175 ÷ 5
? + 19 = 33
- 19 - 19
14
√121 × 2 = ? + 15
√121 × 2 = ? + 15
11 x 2 = ? + 15
22 = ? + 15
- 15 - 15
? = 7
The total cost of Year 6 camp is $520.
Ella has already paid a $201 deposit. She then paid another $95 before camp.
How much does Ella still need to pay?
Write a balanced equation:
201 + 95 + □ = 520
201+95= 296
296 + ? = 520
- 296 - 296
224
122 - Square root of 64 + ? = 200
122 - Square root of 64 + ? = 200
144 - 8 +? = 200
144 - 8 = 136
200 - 136 = 64
√144 × 3 = ? + 20
√144 × 3 = ? + 20
12 x 3 = ? + 20
36 = ? + 20
36 - 20 = 16
32+ √100 = ? − 22
32+ √100 = ? − 22
32 + 10 = ? - 22
42 = ? - 22
- 22 - 22
? = 20
Why do we need to balance equations?
We need to balance equations because the equals sign means both sides have the same value. A balanced equation helps us understand how numbers are connected and allows us to find missing information. Just like a set of scales, if one side changes, the other side must still remain equal. Balancing equations helps us solve problems, check our answers and build skills that are important for more complex maths, such as algebra and problem solving.