Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Explanation:
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. 7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
7x + 4
= 7(2) + 4
= 14 + 4
= 18
3x + 5 + 4x - 1
3(2) + 5 + 4(2) - 1
6 + 5 + 8 - 1
= 18
The expressions are only equivalent for x = 4 and x = 6.
• This is not true because the expression is also equivalent for x = 2
The expressions are only equivalent when evaluated with even values.
When x = 1
7x + 4
7(1) + 4
= 7 + 4
= 11
3x + 5 + 4x - 1
3(1) + 5 + 4(1) - 1
3 + 5 + 4 - 1
= 11
The expressions have equivalent values for any value of x.
Yes, it has an equivalent value at 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.
7x + 4
7(0) + 4
= 0 + 4
= 4
3x + 5 + 4x - 1
3(0) + 5 + 4(0) - 1
0 + 5 + 0 -1
= 4
The expressions have equivalent values if x = 8.
7x + 4
7(8) + 4
56 + 4
= 60
3x + 5 + 4x - 1
3(8) + 5 + 4(8) - 1
24 + 5 + 32 - 1
= 60