tell whether these pair of expressions is equivalent.
100-5(4x+8) and -20x+60
To check if the two expressions are equivalent, we will simplify both of them and compare the results.
First expression:
100 - 5(4x + 8)
To simplify, we distribute the -5 to both terms inside the parentheses:
100 - 5(4x) - 5(8)
Simplifying further:
100 - 20x - 40
Second expression:
-20x + 60
Now we can compare the simplified forms of the two expressions:
100 - 20x - 40 is equivalent to -20x + 60.
Therefore, the pair of expressions is equivalent.