Question

write an equation that represents the weights on the hanger.
2a + 1 = 9
how can you get 2a by itself on one side of the equation?
multiply both sides by 2.
subtract 1 from both sides.
add 1 to both sides.
divide both sides by 2.

Explanation:

For the second question (How can you get \(2a\) by itself on one side of the equation \(2a + 1 = 9\)?):

To isolate \(2a\) in the equation \(2a + 1 = 9\), we use the inverse operation of addition. The term \(+1\) is added to \(2a\), so we subtract \(1\) from both sides to cancel out the \(+1\) on the left side.

Step 1: Identify the operation to reverse

The equation is \(2a + 1 = 9\), and we want to get rid of the \(+1\) next to \(2a\).

Step 2: Apply the inverse operation

Subtract \(1\) from both sides: \((2a + 1)- 1=9 - 1\), which simplifies to \(2a=8\). So the correct operation is to subtract \(1\) from both sides.

Answer:

Subtract 1 from both sides. (Corresponding to the option: Subtract 1 from both sides.)