### All SSAT Middle Level Math Resources

## Example Questions

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

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Divide both sides by :

### Example Question #22 : How To Find The Solution To An Equation

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Add 28 to both sides:

### Example Question #23 : How To Find The Solution To An Equation

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

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### 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?

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**Correct answer:**

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?

**Possible Answers:**

**Correct answer:**

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:

### Example Question #22 : How To Find The Solution To An Equation

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### Example Question #23 : How To Find The Solution To An Equation

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### Example Question #27 : How To Find The Solution To An Equation

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### Example Question #24 : How To Find The Solution To An Equation

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