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

Study concepts, example questions & explanations for SSAT Middle Level Math

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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

Solve for 

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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:

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?

Possible Answers:

Correct answer:

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:

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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