### All ISEE Lower Level Math Resources

## Example Questions

### Example Question #381 : Plane Geometry

If a line with a length of 5 starts at the point , which of the following is **NOT** a possible end point?

**Possible Answers:**

**Correct answer:**

Let , and let be the end point we are looking for.

Recall the distance formula:

Squaring the distance formula gives .

Plug this squared distance formula and solve for :

Substitute each response into this equation to see which one is false. The only response that doesn't work is .

### Example Question #3 : Lines

What is the distance between and ?

**Possible Answers:**

**Correct answer:**

The distance formula is .

Let and .

Plug these points into the distance formula:

### Example Question #1 : How To Find Length Of A Line

If a line that is 13 inches in length starts at the point , which of the following is **NOT** a possible end point?

**Possible Answers:**

**Correct answer:**

The distance formula is given by .

Square both sides:

Now, let , and let be the end point we are looking for.

Plug into the squared distance formula and solve for :

Alternatively, you can plug in the answer choices and see which point makes the above equation untrue. The point matches this description and is therefore the correct answer.

### Example Question #11 : Lines

How long is a line segment on the number line if it goes from to ?

**Possible Answers:**

**Correct answer:**

To find the length of a line on the number line when one point is negative and the other is positive, you must the the distances of both from zero. is spaces from zero where is the other point is just . So the distance is .

### Example Question #11 : Lines

What is the distance between and

**Possible Answers:**

**Correct answer:**

The distance formula is .

Let and :