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The steps of a temple are being tiled so that step number needs tiles. How many tiles does step 12 need?

Class 6AlgebraAlgebra
  • A96
  • B136
  • C25
  • D101

Step-by-Step Solution

Substitute tiles. The trap 96 drops the constant term 5; 136 adds the 5 to first, giving ; 25 reads as .
Answer: D) 101

Key idea: Why letters?

Imagine you want to describe 'a number doubled, plus three'. Without algebra you would have to make a list: ; ; ; … forever. With a letter — say for 'the number' — the whole list becomes one short expression: ****. Pick any value of and you get the right answer. The letter is shorthand for 'whatever number we're talking about'.

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