Question

Which expressions are equivalent?

a) 12 and 100 - 88
b) 7 + 9 - 1 and 3x
c) 3^2 and 13
d) 5 + 3 + 5 and 15

Answer 1

The expressions that are equivalent are 12 and 100 - 88. We calculate each expression's value to determine their equivalence. No other pairs given in the examples are equivalent without additional information.

Step-by-step explanation:

The expressions that are equivalent are:

• 12 and 100 - 88
• 5 + 3 + 5 and 15

For the first pair, 100 minus 88 equals 12, so both expressions have the same value. For the second pair, if you add 5 + 3 + 5, you get 13, which is not equal to 15. So this pair is not equivalent. Considering the other options, 3 squared, which is 32, equals 9, not 13. The expression in the second pair, 7 + 9 - 1 and 3x, would only be equivalent if x is equal to 5, which we do not have information for. Therefore, without any additional information, only the first pair is definitely equivalent.