### All SSAT Middle Level Math Resources

## Example Questions

### Example Question #1 : Coordinate Geometry

Give the slope of the line that passes through and .

**Possible Answers:**

**Correct answer:**

Use the slope formula, substituting :

### Example Question #2 : Coordinate Geometry

Give the slope of a line that passes through and .

**Possible Answers:**

**Correct answer:**

Using the slope formula, substituting , , , and :

Subtract to get:

Cancel out the negative signs to get:

### Example Question #3 : Coordinate Geometry

Give the slope of a line that passes through and .

**Possible Answers:**

**Correct answer:**

Using the slope formula with , , , :

Subtract to get:

### Example Question #4 : Coordinate Geometry

Give the slope of the line that passes through and .

**Possible Answers:**

**Correct answer:**

Using the slope formula for

, , , and :

Combine the negative signs to get:

Subtract and add to get:

Reduce to get:

### Example Question #5 : Coordinate Geometry

Give the slope of a line that passes through and .

**Possible Answers:**

**Correct answer:**

Using the slope formula, where is the slope, , and :

### Example Question #1 : Geometry

Find the slope of the line that passes through the points and

**Possible Answers:**

Cannot be determined

**Correct answer:**

Using the slope formula, where is the slope, , and :

### Example Question #7 : Coordinate Geometry

Find the slope of a line with points and .

**Possible Answers:**

Cannot be determined

**Correct answer:**

Using the slope formula, where is the slope, , and :

### Example Question #21 : Graphing

Billy set up a ramp for his toy cars. He did this by taking a wooden plank and putting one end on top of a brick that was 3 inches high. He then put the other end on top of a box that was 9 inches high. The bricks were 18 inches apart. What is the slope of the plank?

**Possible Answers:**

**Correct answer:**

The value of the slope (m) is rise over run, and can be calculated with the formula below:

The coordinates of the first end of the plank would be (0,3), given that this is the starting point of the plank (so x would be 0), and y would be 3 since the brick is 3 inches tall.

The coordinates of the second end of the plank would be (18,9) since the plank is 18 inches long (so x would be 18) and y would be 9 since the box was 9 inches tall at the other end.

From this information we know that we can assign the following coordinates for the equation:

and

Below is the solution we would get from plugging this information into the equation for slope:

This reduces to

### Example Question #1 : How To Find A Triangle On A Coordinate Plane

Find the area of the above triangle, given that it has a height of 12 and a base of 10.

**Possible Answers:**

**Correct answer:**

Because this is a right triangle, the area formula is simply:

Thus, the solution is:

### Example Question #2 : How To Find A Triangle On A Coordinate Plane

Given the above triangle is an equilateral triangle, find the perimeter in units as drawn in the coordinate system.

**Possible Answers:**

**Correct answer:**

Using the coordinate system, one can see the base of the triangle is 6 units in length. Since it is an equilateral triangle, the other two sides must also be 6 units each in length. Therefore the perimeter is:

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