The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)
How to determine the equivalent expressions?
To do this, we test each pair of expression.
This is done as follows
14d + 21 = 7(2d + 3)
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14d + 21 = 14d + 21 --- this is true
9(5r - 2) = 14r - 7
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45r - 18 = 14r - 7 --- this is false
8(69 - 9) = 489 - 72
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552 - 72 = 489 - 72 --- this is false
16 + 4w = 2(2w + 8)
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16 + 4w = 4w + 16 ---- this is true
32t + 16 = 16(2 – t)
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32t + 16 = 32 - 16t --- this is false
Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)
Read more about equivalent expressions at:
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