### All GMAT Math Resources

## Example Questions

### Example Question #1 : Calculating Whether Point Is On A Line With An Equation

Solve for in the coordinate on line ?

**Possible Answers:**

**Correct answer:**

To solve for for , we have to plug into the variable of the equation and solve for :

### Example Question #2 : Calculating Whether Point Is On A Line With An Equation

Solve for in the coordinate on line ?

**Possible Answers:**

**Correct answer:**

To solve for for , we have to plug 1 into the variable of the equation and solve for :

### Example Question #3 : Calculating Whether Point Is On A Line With An Equation

Solve for in the coordinate on line ?

**Possible Answers:**

**Correct answer:**

To solve for for , we have to plug into the variable of the equation and solve for :

### Example Question #4 : Calculating Whether Point Is On A Line With An Equation

Consider segment which passes through the points and .

If the point is on , what is the value of y?

**Possible Answers:**

**Correct answer:**

First, use the points to find the equation of JK:

Given that JK passes through (4,5) and (144,75) we can find the slope as follows:

Slope is found via:

Plug in and calculate:

Next, we need to use one of our points and the slope to find our y-intercept. I'll use (4,5).

So our answer is:

To find y, we need to plug in 16 for x and solve:

### Example Question #5 : Calculating Whether Point Is On A Line With An Equation

If is defined as follows, is the point on ?

**Possible Answers:**

Cannot be calculated from the provided information

No

f(x) is undefined at (-2,5)

Yes

**Correct answer:**

Yes

To find out if (-2,5) is on f(x), simply plug the point into f(x)

Becomes,

So yes, it does!

### Example Question #6 : Calculating Whether Point Is On A Line With An Equation

Which of the following are points along if

.

**Possible Answers:**

**Correct answer:**

One way to solve this one is by plugging in each of the answer choices and eliminating any that don't work out. Begin with our original g(x)

If we plug in 3 we get

,

So our point is (3,28).

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