Question

10(4x+12) - 82=
which expression would make the
following equation not true for all
values of x.
40x+44
10(4x+12)-82
40x+38
40x+120-82

Explanation:

First, simplify the original equation:
$10(4x + 12) - 82 = 40x + 120 - 82 = 40x + 38$.

Now check each option:

• A. $10(4x + 12) - 82$: This is the original expression, so it equals $40x + 38$.
• B. $40x + 44$: $40x + 38

eq 40x + 44$ (constant terms differ).

• C. $40x + 120 - 82$: $120 - 82 = 38$, so this equals $40x + 38$.
• D. $40x + 38$: This is the simplified form.

Only option B does not match the simplified expression.

Simplify the original expression to $40x + 38$. Compare with each option: only $40x + 44$ does not equal this result.

Answer:

B. 40x+44