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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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All SSAT Middle Level Math Resources

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Example Questions

Example Question #21 : Ssat Middle Level Quantitative (Math)

Solve for :

-5x = -70

Possible Answers:

x = -75

x = 14

x = -65

x = 350

x = -14

Correct answer:

x = 14

Explanation:

Divide both sides by :

-5x = -70

$-5x \div (-5) = -70 \div (-5)$

$x = -70 \div (-5) = + (70\div 5) = 14$

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Example Question #22 : Ssat Middle Level Quantitative (Math)

Solve for :

x - 28 = 82

Possible Answers:

x = 110

x = 100

x = 44

x = 64

x = 54

Correct answer:

x = 110

Explanation:

Add 28 to both sides:

x - 28 = 82

x - 28 + 28 = 82 + 28

x = 110

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

Solve for :

3x - 9= 30

Possible Answers:

x= 11

x = 9

x = 17

x = 7

x = 13

Correct answer:

x = 13

Explanation:

3x - 9= 30

3x - 9 + 9= 30+ 9

3x = 39

$3x \div 3 = 39 \div 3$

x = 13

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

Solve for :

3x + 9= 30

Possible Answers:

x = 12

x = 11

x = 5

x = 7

x = 8

Correct answer:

x = 7

Explanation:

3x + 9= 30

3x + 9 - 9= 30- 9

3x = 21

$3x \div 3 = 21 \div 3$

x = 7

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

Call the three angles of a triangle $\angle 1, \angle 2, \angle 3$ .

The measure of $\angle2$ is twenty degrees greater than that of $\angle 1$ ; the measure of $\angle 3$ is thirty degrees less than twice that of $\angle 1$ . If is the measure of $\angle 1$ , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Possible Answers:

x + (x-20) + 2(x-30) = 180

x + (x+20) = (2x+30)

x + (x+20) + (2x-30) = 360

x + (x+20) + (2x-30) = 180

x + (x-20) + 2(x-30) = 360

Correct answer:

x + (x+20) + (2x-30) = 180

Explanation:

The measure of $\angle2$ is twenty degrees greater than the measure of $\angle 1$ , so its measure is 20 added to that of $\angle 1$ - that is, x + 2 0 .

The measure of $\angle 3$ is thirty degrees less than twice that of $\angle 1$ . Twice the measure of $\angle 1$ is , and thirty degrees less than this is 30 subtracted from - that is, 2x-30 .

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:

x + (x+20) + (2x-30) = 180

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Example Question #3 : How To Find The Measure Of An Angle

Call the three angles of a triangle $\angle 1, \angle 2, \angle 3$ .

The measure of $\angle2$ is forty degrees less than that of $\angle 1$ ; the measure of $\angle 3$ is ten degrees less than twice that of $\angle 1$ . If is the measure of $\angle 1$ , then which of the following equations would we need to solve in order to calculate the measures of the angles?

Possible Answers:

x + (x-40) + 2 (x - 10) = 360

x + (x-40) + 2 (x - 10) = 180

x + (x-40) = (2x - 10)

x + (x-40) + (2x - 10) = 180

x + (x-40) + (2x - 10) = 360

Correct answer:

x + (x-40) + (2x - 10) = 180

Explanation:

The measure of $\angle2$ is forty degrees less than the measure of $\angle 1$ , so its measure is 40 subtracted from that of $\angle 1$ - that is, x -40 .

The measure of $\angle 3$ is ten degrees less than twice that of $\angle 1$ . Twice the measure of $\angle 1$ is , and ten degrees less than this is 10 subtracted from - that is, 2x-10 .

x + (x-40) + (2x - 10) = 180

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Example Question #25 : Ssat Middle Level Quantitative (Math)

Solve for :

-5 (x-12) = -35

Possible Answers:

x=42

x=-7

x=-5

x=-18

x=19

Correct answer:

x=19

Explanation:

-5 (x-12) = -35

$-5 \cdot x- \left (-5 \right ) \cdot 12 = -35$

$-5x- \left (-60 \right ) = -35$

-5x+60= -35

-5x+60 -60= -35-60

-5x= -95

$-5x \div (-5)= -95\div (-5)$

x=19

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Example Question #26 : Ssat Middle Level Quantitative (Math)

Solve for :

5x + 15 = x + 84

Possible Answers:

$x=11\frac{1}{2}$

$x = 17\frac{1}{4}$

$x= 13\frac{4}{5}$

$x=16\frac{1}{2}$

$x=24\frac{3}{4}$

Correct answer:

$x = 17\frac{1}{4}$

Explanation:

5x + 15 = x + 84

5x -x+ 15 = x-x + 84

4x+ 15 = 84

4x+ 15-15 = 84-15

4x = 69

$4x \div 4= 69\div 4$

$x = 17\frac{1}{4}$

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Example Question #27 : Ssat Middle Level Quantitative (Math)

Solve for :

3x -21=66

Possible Answers:

x=29

x=15

x=207

x=45

x=69

Correct answer:

x=29

Explanation:

3x -21=66

3x -21+ 21=66+ 21

3x =87

$3x\div 3=87\div 3$

x=29

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Example Question #28 : Ssat Middle Level Quantitative (Math)

Solve for :

4x - 15 = x + 84

Possible Answers:

$x = 17 \frac{1}{4}$

x= 23

$x = 13 \frac{4}{5}$

x=33

$x= 24\frac{3}{4}$

Correct answer:

x=33

Explanation:

4x - 15 = x + 84

4x-x - 15 = x -x+ 84

3x - 15 = 84

3x - 15 +15= 84+15

3x = 99

$3x \div 3 = 99\div 3$

x=33

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

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #21 : Ssat Middle Level Quantitative (Math)

Example Question #22 : Ssat Middle Level Quantitative (Math)

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

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

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

Example Question #3 : How To Find The Measure Of An Angle

Example Question #25 : Ssat Middle Level Quantitative (Math)

Example Question #26 : Ssat Middle Level Quantitative (Math)

Example Question #27 : Ssat Middle Level Quantitative (Math)

Example Question #28 : Ssat Middle Level Quantitative (Math)

All SSAT Middle Level Math Resources

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