### All GMAT Math Resources

## Example Questions

### Example Question #21 : Solving Linear Equations With One Unknown

Solve for : .

**Possible Answers:**

**Correct answer:**

To solve for , we need to isolate on one side of the equation:

### Example Question #22 : Solving Linear Equations With One Unknown

Solve the following equation:

**Possible Answers:**

**Correct answer:**

We start by grouping all of our like terms, so the terms with x are grouped on the left side and the constants are grouped on the right side:

### Example Question #23 : Solving Linear Equations With One Unknown

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for in , isolate on one side of the equation:

### Example Question #21 : Solving Linear Equations With One Unknown

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for , we need to isolate on one side of the equation:

### Example Question #25 : Solving Linear Equations With One Unknown

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for , isolate on one side of the equation and simplify:

### Example Question #26 : Solving Linear Equations With One Unknown

Given and , find the height of the line's -intercept.

**Possible Answers:**

**Correct answer:**

The trick here is recognizing what you are given. In form, is equal to the -intercept. All we need to do is find . Find this by recognizing that means that the point is on this line. More simply, if we plug in 4 for and 26 for (or in other words, ), we can find .

So this:

becomes:

So, .

### Example Question #27 : Solving Linear Equations With One Unknown

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve for , isolate on one side of the equation and simplify.

First, add 21 to both sides in order to get all constants on one side.

Then divide by 7 to solve for y.

### Example Question #28 : Solving Linear Equations With One Unknown

Solve for :

**Possible Answers:**

**Correct answer:**

In order to solve the equation, isolate on one side of the equation.

To do this, first subtract 9 from both sides.

Then multiply both sides by 3 to move the three to the left hand side.

Lastly, divide by 2 on both sides to solve for z.

### Example Question #29 : Solving Linear Equations With One Unknown

Solve for :

**Possible Answers:**

**Correct answer:**

To solve for a we need to isolate a on one side of the equation and all other numbers on the other side of the equation.

Inorder to do this we first subtract 8 from both sides.

Now, we divide by -4 to finish isolating a.

### Example Question #30 : Solving Linear Equations With One Unknown

Solve for .

**Possible Answers:**

**Correct answer:**