The two expressions that are equivalent are:
(9 + 4) * x and 9 + (4 * x)
Explanation: The distributive property in algebra states that when a number is multiplied by a sum, it is the same as multiplying the number by each term in the sum and then adding the products together. In this case, both expressions are equivalent because the order of operations doesn't affect the final result. The number 9 is being added to 4 in both expressions, and then that sum is being multiplied by x. The result will be the same regardless of whether 9 is added to 4 first or 4 is multiplied by x first.
The other expressions provided in the question are not equivalent and have a different meaning or arithmetic result.
"Which two expressions are equivalent?
(9 + 4) * x and 9 + (4 * x)
(11 - 6) ÷ x and x ÷ (6 - 11)
7 + (6 * x) and 7 + (x * 6)
(x - 11) ÷ 7 and x - (11 ÷ 7)
1 answer