Question

Twenty-two more than seven times a number is one. Solve 7a + 22 = 1. a. -21 b. -3 c. -22 d. 3

Answer 1

The mathematical term describing twenty-two more than seven times a number is one is already provided in the problem, which is

$7a+22=1$

To solve for the value of a, move all constants on the right-hand side of the equation. In this case, we move 22 on the right-hand side. Remember that when we move it to the other side of the equation, it becomes negative. We have

$\begin{gathered} 7a=1-22 \\ 7a=-21 \end{gathered}$

Finally, divide both sides by 7 to remove the coefficient of a. We have

$\begin{gathered} \frac{7a}{7}=-\frac{21}{7} \\ a=-3 \end{gathered}$

Hence, the answer to this problem is b. -3.