# SSAT Middle Level Math : How to find the solution to an equation

## Example Questions

### Example Question #21 : How To Find The Solution To An Equation

Solve for :

Explanation:

Divide both sides by :

Solve for :

Explanation:

Solve for

Explanation:

Solve for

Explanation:

### Example Question #1 : Use Variables To Represent Numbers And Write Expressions: Ccss.Math.Content.6.Ee.B.6

Call the three angles of a triangle

The measure of  is twenty degrees greater than that of ; the measure of  is thirty degrees less than twice that of . If  is the measure of , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Explanation:

The measure of  is twenty degrees greater than the measure  of , so its measure is 20 added to that of  - that is, .

The measure of  is thirty degrees less than twice that of . Twice the measure of  is , and thirty degrees less than this is 30 subtracted from  - that is, .

The sum of the measures of the three angles of a triangle is 180, so, to solve for  - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

### Example Question #2 : How To Find The Measure Of An Angle

Call the three angles of a triangle

The measure of  is forty degrees less than that of ; the measure of  is ten degrees less than twice that of . If  is the measure of , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Explanation:

The measure of  is forty degrees less than the measure  of , so its measure is 40 subtracted from that of  - that is, .

The measure of  is ten degrees less than twice that of . Twice the measure of  is , and ten degrees less than this is 10 subtracted from  - that is, .

The sum of the measures of the three angles of a triangle is 180, so, to solve for  - thereby allowing us to calulate all three angle measures - we add these three expressions and set the sum equal to 180. This yields the equation:

Solve for :

Explanation:

Solve for :

Explanation:

Solve for

Explanation:

Solve for :