# SAT II Math I : Single-Variable Algebra

## Example Questions

### Example Question #51 : Single Variable Algebra

Solve for .

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Subtract  on both sides. Since  is greater than  and is negative, our answer is negative.

We treat as a subtraction problem.

### Example Question #52 : Single Variable Algebra

Solve for .

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Subtract  on both sides.

Multiply  on both sides.

### Example Question #53 : Single Variable Algebra

Solve for .

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

### Example Question #54 : Single Variable Algebra

Solve for .

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Multiply  on both sides.

### Example Question #55 : Single Variable Algebra

Solve for .

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Divide  on both sides.

When dividing with a negative number, our answer is negative.

### Example Question #56 : Single Variable Algebra

Solve for .

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Divide  on both sides.

### Example Question #57 : Single Variable Algebra

Solve for .

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Multiply  on both sides.

When multiplying with another negative number, our answer is positive.

### Example Question #58 : Single Variable Algebra

Solve for .

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Multiply  on both sides.

When multiplying with another negative number, our answer is positive.

### Example Question #59 : Single Variable Algebra

Solve for .

Explanation:

This is a one step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Take the square root on both sides. We also need to consider having a negative answer.

Remember, two negatives multiplied equals a positive number.

### Example Question #60 : Single Variable Algebra

Solve for .

Explanation:

This is a two step, one variable problem. This means we want to isolate x on one side of the equation with all other constants on the other side. To do this perform the opposite operation to manipulate the equation

Square both sides to get rid of the radical.

Subtract  on both sides.