Three bags and four blocks
A scale that balances
A level scale means the two pans weigh exactly the same.
📚 Chapter Learning Kit
Finding the Unknown · Class 7 Mathematics · Ganita Prakash
English 3 topics 105 leveled MCQs 51 flashcards 5 games Free
Shared by a Veda teacher · Generated with Veda AI · Oct 2026
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The whole idea, one bite at a time
Veda Bites are swipeable micro-lessons — each one teaches exactly one idea. Here's a taste from this kit; the app has the full deck.
In symbols instead of words
Writing the balance down
Call one bag b, counted in blocks, so the left pan weighs 3b + 4.
A statement, not an instruction
What an equation is
An equation states that two expressions have the same value.
Nobody guesses a bag weight
Back to the scale
If both pans hold four loose blocks, take those four off each pan.
The same change to both sides
The rule
Whatever you do to one side, do exactly the same to the other.
The two sides name one value
Why it is allowed
An equation says both sides name the same value.
📖 Smart notes
What you'll study, topic by topic
1
What an equation says
An equation states that two expressions have the same value, as 3b + 4 = 19 states for a balanced scale. A solution is a value for the letter that makes the two sides agree, and any value can be tested by substituting it…
- A level scale means its two pans weigh exactly the same.
- Three bags and four blocks against nineteen gives 3b + 4 = 19.
- An equation states that two expressions have the same value.
~40 min · full explanation, examples & memory tricks in the app
2
Solving an equation step by step
Do the same thing to both sides, and keep going until the letter stands alone. It is allowed because the two sides name one value. Each step is chosen by its inverse: subtract an added number, divide by a multiplier, mul…
- Do exactly the same thing to both sides, every step.
- It is allowed because the two sides name one and the same value.
- All four operations may be used, but never dividing by zero.
~45 min · full explanation, examples & memory tricks in the app
3
Checking a solution, and mending mistakes
Substituting an answer into the original equation takes one line. It is the only part of the work that proves anything. Five common mistakes all come from using a real rule in the wrong place. So the working looks tidy,…
- Checking takes one line and is the only part that proves anything.
- Substitute into the ORIGINAL equation, never a later line.
- A wrong line always agrees with the wrong answer it produced.
~45 min · full explanation, examples & memory tricks in the app
❓ Leveled MCQ practice
Try the smart MCQs from this kit
105 questions laddered from warm-up to topper-level, each with an explanation. A taste:
A weighing scale is loaded on both sides and its beam comes to rest exactly level. A level scale shows that its two pans are
Beginner
A equal in size
B equal in weight
C equal in number of items
D empty of loose blocks
Show answer & explanation
equal in weight
Balanced means equal.
Three identical bags and four loose blocks are placed in one pan, with b standing for one bag. That pan weighs
Beginner
A 3b + 4
B 3 + 4b
C 3b - 4
D 4b + 3
Show answer & explanation
3b + 4
Three bags, then the loose four.
That pan is balanced against nineteen loose blocks in the other pan, and the balance is written down. That gives the equation
Beginner
A 3b + 4 = 23
B 3b - 4 = 19
C 4b + 3 = 19
D 3b + 4 = 19
Show answer & explanation
3b + 4 = 19
Balanced means the sides are equal.
Two expressions are written with an equals sign between them, claiming that they come to the same number. Such a statement is called
Beginner
A an equation
B a formula
C an expression
D a solution
Show answer & explanation
an equation
Not an instruction to do anything.
🃏 Flashcards
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51 flashcards in this kit — the app reviews them with spaced repetition so the right card returns on the right day.
🎮 Learning games
Play your way through this kit
Every game is built from this kit's own content — scores feed your mastery, so playing counts as studying.
Memory Match
Categorization
Fact Or Myth
Sequence Builder
Word Match
Playable in the app
Study it properly — free, in the app
The full Veda Bites deck, complete notes, spaced-repetition flashcards, leveled MCQs, tests and games for this kit — plus Daily Facts and the Arena, every day.