Question

Ahmed wrote the two expressions below.

Three-fourths (8 x + 4), 6 x + 1


Which procedure can Ahmed follow to determine if the two expressions are equivalent?

Option 1: Substitute 2 into each expression, and evaluate them.
Option 2: Add the two expressions.
Option 3: Substitute 1 into the first expression, substitute 2 into the second expression, and evaluate them.
Option 4: Put an equal sign between the two expressions, and solve for x.

Answer 1

To determine if the two expressions are equivalent, Ahmed can substitute 1 into the first expression and 2 into the second expression, and evaluate them.

Step-by-step explanation:

The procedure that Ahmed can follow to determine if the two expressions are equivalent is Option 3: Substitute 1 into the first expression and substitute 2 into the second expression, then evaluate them.

First, substitute 1 into the first expression: Three-fourths (8 x + 4) substituting 1 results in three-fourths (8(1) + 4) which simplifies to three-fourths (8 + 4) = three-fourths (12).

Next, substitute 2 into the second expression: 6 x + 1 substituting 2 results in 6(2) + 1 = 12 + 1 = 13.

Comparing the two results, three-fourths (12) is not equal to 13, so the two expressions are not equivalent.