Question

which expression is equivalent to a + a + a + a + 1 + 1 + 1? 4a + 3; which expression is equivalent to 2a + 2a + 2 + 1? 4a + 3; complete the statement. both expressions can be written as 4a + 3, so they? equivalent.

Explanation:

Step1: Analyze the meaning of equivalent expressions

Equivalent expressions are expressions that have the same value for all values of the variable(s) involved. In this case, both given expressions simplify to \(4a + 3\).

Step2: Determine the relationship between the two expressions

Since both expressions can be written in the same simplified form (\(4a+3\)), they represent the same mathematical relationship and thus are equivalent. So the word to fill in the blank is "are".

Answer:

are