Match the operation with its inverse operation you would use to solve an equation for a vari

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- To undo an addition, you subtract. For example, if you have
  $$
  x + a = b,
  $$
  you subtract $$ a $$ from both sides to get
  $$
  x = b - a.
  $$

- To undo a subtraction, you add. For instance, if
  $$
  x - a = b,
  $$
  you add $$ a $$ to both sides to obtain
  $$
  x = b + a.
  $$

- To undo a multiplication, you divide. For example, if
  $$
  a \cdot x = b,
  $$
  you divide both sides by $$ a $$ to get
  $$
  x = \frac{b}{a}.
  $$

- To undo a division, you multiply. For instance, if
  $$
  \frac{x}{a} = b,
  $$
  you multiply both sides by $$ a $$ so that
  $$
  x = a \cdot b.
  $$

- To undo an exponentiation, you take a root. For example, if
  $$
  x^n = a,
  $$
  you take the $$ n $$th root of both sides:
  $$
  x = \sqrt[n]{a}.
  $$

- Conversely, to undo a root extraction, you raise both sides to the corresponding power. For instance, if
  $$
  \sqrt[n]{x} = a,
  $$
  raising both sides to the $$ n $$th power yields
  $$
  x = a^n.
  $$
To solve an equation for a variable, use the inverse operation: - **Addition** → **Subtraction** - **Subtraction** → **Addition** - **Multiplication** → **Division** - **Division** → **Multiplication** - **Exponentiation** → **Root Extraction** - **Root Extraction** → **Exponentiation**

Match the operation with its inverse operation you would use to solve an equation for a vari

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