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Squares are made in a row with matchsticks, as shown. Joined squares share a side. How many matchsticks are needed for Shape 10?

Class 6AlgebraAlgebra
  • A40
  • B31
  • C30
  • D34

Step-by-Step Solution

Shapes 1, 2, 3 use 4, 7, 10 sticks: start with 1 stick, add 3 per square. Rule: . Shape 10: . (40 forgets that sides are shared.)
Answer: B) 31

Key idea: Reading expressions and naming the parts

In the expression ** is the variable
- **** is a term — it means is the coefficient of is a constant term
- **+** is the operation joining the terms

When a number sits next to a variable with no symbol between them (like ), it always means multiplication. We never write × between a number and its variable.

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