Question

James determined that these two expressions were equivalent expressions using the values of x - 4 and x-6.

Which statements are true? Check all that apply.
7x+4 and 3x+5+4x-1
When x-2, both expressions have a value of 18.
The expressions are only equivalent for x = 4 and x-6.
The expressions are only equivalent when evaluated with even values.
The expressions have equivalent values for any value of x.
The expressions should have been evaluated with one odd value and one even value.
When x-0, the first expression has a value of 4 and the second expression has a value of 5.
The expressions have equivalent values if x - 8.

Answer 1

1 - Correct

2 - incorrect

3- incorrect

4 - incorrect

5 - Correct

Explanation:

Notice that

3x + 5 + 4x -1 = 3x + 4x + 5 -1 = 7x + 4

therefore the two expressions are equivalent for ANY number, specially x = 4 and x = 6 therefore

1 - Correct

Since that is true for all numbers

2 - incorrect

3- incorrect

4 - incorrect

The expressions are equivalent for all numbers therefore

5 - Correct