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Bamboo poles hold up a row of shop awnings. The first awning needs 2 poles, and every awning added beside it needs only 1 more pole because it shares a pole with its neighbour. Which rule gives the poles needed for a awnings?

Class 6AlgebraAlgebra
  • Aa + 1
  • B
  • C
  • Da − 1

Step-by-Step Solution

Because neighbours share a pole the counts run 2, 3, 4, … — always one more than the number of awnings — so the rule is . The trap forgets the sharing and charges 2 poles to every awning; is wrong in both the multiplier and the constant term.
Answer: A) a + 1

Key idea: Evaluating an expression

To evaluate an expression, **substitute** a value for the variable and compute. If , then becomes . The same expression with gives . Practise substituting — it is the bridge between an algebraic expression and a real number.

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