# SAT II Math I : Single-Variable Algebra

## Example Questions

### Example Question #23 : Solving Equations

Solve for .

Explanation:

Multiply  on both sides. When multiplying with a negative number, our answer is negative.

### Example Question #24 : Solving Equations

Solve for .

Explanation:

Multiply  on both sides. When multiplying with another negative number, our answer is positive.

### Example Question #31 : Single Variable Algebra

Solve for .

Explanation:

Square both sides to get rid of the radical.

Subtract  on both sides.

### Example Question #34 : Single Variable Algebra

Solve for .

Explanation:

Square both sides to get rid of the radical.

### Example Question #26 : Solving Equations

Solve for .

Explanation:

To get rid of the exponent, take the square root of both sides. Remember, the answer can be both positive and negative as two negative signs when multiplied gives you a positive answer.

### Example Question #27 : Solving Equations

Solve for .

Explanation:

By inspection, we can see it's a quadratic equation since we have an exponent of . So let's move everything to the left so the equation equals zero.

So we need to find two numbers when multiplied is  but at the same time having a sum of .

Solve each equation individually.

### Example Question #28 : Solving Equations

Solve for .

Explanation:

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

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

### Example Question #29 : Solving Equations

Solve for .

Explanation:

Subtract  on both sides.

Divide  on both sides.

### Example Question #31 : Solving Equations

Solve for .

Explanation:

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

Solve for .