# SAT II Math I : Single-Variable Algebra

## Example Questions

### Example Question #51 : Solving Equations

Solve for .

Explanation:

Subtract  on both sides.

Divide  on both sides.

### Example Question #52 : Solving Equations

Solve for .

Explanation:

Subtract  on both sides. Since  is greater than  and is negative, our answer is negative. We treat as a normal subtraction.

Divide  on both sides. When dividing with a negative number, our answer is negative.

### Example Question #53 : Solving Equations

Solve for .

Explanation:

First distribute the  to each term in the parantheses.

Subtract  on both sides.

Subtract  on both sides.

Divide  on both sides.

### Example Question #54 : Solving Equations

Solve for .

Explanation:

Distribute the  to each term in the parantheses.

Subtract  on both sides.

Divide  on both sides.

### Example Question #65 : Single Variable Algebra

Solve for .

Explanation:

There are TWO ways:

Method : (not really preferred)

Distribute  to each term in the parantheses.

Multiply by the reciprocal  on both sides.

Method : (preferred)

Multiply by the reciprocal  on both sides.

### Example Question #55 : Solving Equations

Solve for .

Explanation:

Distribute the  to each term in the parantheses.

Multiply  on both sides.

Subtract  on both sides.

Divide  on both sides.

### Example Question #56 : Solving Equations

Solve for .

Explanation:

Distribute the  to each term in the left parantheses and the  to each term in the right parantheses.

Divide  on both sides.

### Example Question #57 : Solving Equations

Solve for .

Explanation:

Square both sides to get rid of the radical.

Subtract  on both sides.

### Example Question #61 : Solving Equations

Solve for .

Explanation:

Sqaure both sides to get rid of the radical.

Cross-multiply.

Divide both sides by .

Solve for .