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SSAT Upper Level Math : Geometry

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All SSAT Upper Level Math Resources

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Example Questions

Example Question #424 : Ssat Upper Level Quantitative (Math)

Which of the following lines is parallel to the line 4x-2y=8?

Possible Answers:

y=-2x+1

$y=\frac{1}{2}x-2$

$y=-\frac{1}{2}x+3$

y=2x-1

Correct answer:

y=2x-1

Explanation:

Parallel lines have the same slope. Start by putting the given equation in y=mx+b form to figure out its slope:

4x-2y=8

Subtract from each side of the equation:

-2y=-4x+8

Divide each side of the equation by :

y=2x-4

The slope of both this line and the one parallel to it must be .

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Example Question #201 : Geometry

Which of the following lines is parallel to the line 10x-2y=12?

Possible Answers:

y=5x+3

y=-5x-2

$y=-\frac{1}{5}x+2$

$y=\frac{1}{5}x-2$

Correct answer:

y=5x+3

Explanation:

Parallel lines have the same slope. Start by putting the given equation in y=mx+b form to figure out its slope.

10x-2y=12

Divide both sides of the equation by :

5x-y=6

Subtract from both sides of the equation:

-y=-5x+6

Divide both sides of the equation by :

y=5x-6

The given line has a slope of , so the answer choice equation needs to have a slope of as well.

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Example Question #201 : Geometry

Which of the following lines is parallel to the line with the equation 3x+4y=9?

Possible Answers:

$y=-\frac{4}{3}x-12$

$y=\frac{4}{3}x+2$

$y=\frac{3}{4}x+2$

$y=-\frac{3}{4}x-2$

Correct answer:

$y=-\frac{3}{4}x-2$

Explanation:

Parallel lines have the same slope. Start by putting the given equation in y=mx+b form to figure out its slope.

3x+4y=9

Subtract from each side of the equation:

4y=-3x+9

Divide both sides of the equation by :

$y=-\frac{3}{4}x+\frac{9}{4}$

The given line has a slope of $-\frac{3}{4}$ , so the answer choice equation will need to have a slope of $-\frac{3}{4}$ as well to be parallel to the given line.

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Example Question #427 : Ssat Upper Level Quantitative (Math)

Which of the following lines is parallel to the line with the equation 9x+6y=12 ?

Possible Answers:

$y=-\frac{3}{2}x+2$

$y=\frac{3}{2}x-2$

$y=-\frac{2}{3}x+4$

$y=\frac{2}{3}x-2$

Correct answer:

$y=-\frac{3}{2}x+2$

Explanation:

Parallel lines have the same slope. Start by putting the given equation in y=mx+b form to figure out its slope.

9x+6y=12

Subtract from each side of the equation:

6y=-9x+12

Divide each side of the equation by and reduce:

$y=-\frac{3}{2}x+2$

The given line has a slope of $-\frac{3}{2}$ , so the answer choice equation will need to have a slope of $-\frac{3}{2}$ as well to be parallel to the given line.

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Example Question #151 : Lines

Which of the following lines is parallel to the line 2x-y=8?

Possible Answers:

$y=\frac{1}{2}x-3$

y=-2x-9

y=2x-1

$y=-\frac{1}{2}x+4$

Correct answer:

y=2x-1

Explanation:

Parallel lines have the same slope. Start by putting the given equation in y=mx+b form to figure out its slope.

2x-y=8

Subtract from each side of the equation:

-y=-2x+8

Divide each side of the equation by :

y=2x-8

Since the presented equation has a slope of , the correct answer choice's equation will also have a slope of . This makes the correct answer y=2x-1 .

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Example Question #151 : Coordinate Geometry

Which of the following lines is parallel to the line with the equation 7x+y=14 ?

Possible Answers:

$y=-\frac{1}{7}x-2$

$y=\frac{1}{7}x-12$

y=-7x-2

y=7x+2

Correct answer:

y=-7x-2

Explanation:

Parallel lines have the same slope. First, put the given equation in y=mx+b form to find its slope.

7x+y=14

Subtract from both sides of the equation:

y=-7x+14

The given line has a slope of , so the correct answer will also have a slope of . This means that the correct answer choice is y=-7x-2 .

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Example Question #1 : How To Find The Slope Of Parallel Lines

Which of the following is a line that is parallel to the line with the equation $y=\frac{2}{3}x-2$ ?

Possible Answers:

y=2x+7

$y=\frac{2}{3}x+9$

$y=-\frac{2}{3}x-2$

$y=-\frac{3}{2}x-12$

Correct answer:

$y=\frac{2}{3}x+9$

Explanation:

For two lines to be parallel, their slopes must be the same. Since the slope of the given line is $\frac{2}{3}$ , the line that is parallel to it must also have a slope of $\frac{2}{3}$ .

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Example Question #2 : How To Find The Slope Of Parallel Lines

Line has the equation y=4x-1 . If line is parallel to line , what is the slope of line ?

Possible Answers:

$-\frac{1}{4}$

$\frac{1}{4}$

Correct answer:

Explanation:

Line must have the same slope as line to be parallel with it, so the slope of line must be . You can tell that the slope of line is because it is in y=mx+b form, and the value of is the slope.

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Example Question #1 : How To Find The Slope Of Parallel Lines

What is the slope of a line parallel to the line: -15x + 5y = 30 ?

Possible Answers:

1/3

-15

Correct answer:

Explanation:

First, put the equation in slope-intercept form: y = 3x + 6. From there we can see the slope of this line is 3 and since the slope of any line parallel to another line is the same, the slope will also be 3.

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Example Question #11 : Parallel Lines

What is the slope of any line parallel to –6x + 5y = 12?

Possible Answers:

12/5

5/6

6/5

Correct answer:

6/5

Explanation:

This problem requires an understanding of the makeup of an equation of a line. This problem gives an equation of a line in y = mx + b form, but we will need to algebraically manipulate the equation to determine its slope. Once we have determined the slope of the line given we can determine the slope of any line parallel to it, becasue parallel lines have identical slopes. By dividing both sides of the equation by 5, we are able to obtain an equation for this line that is in a more recognizable y = mx + b form. The equation of the line then becomes y = 6/5x + 12/5, we can see that the slope of this line is 6/5.

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SSAT Upper Level Math : Geometry

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #424 : Ssat Upper Level Quantitative (Math)

Example Question #201 : Geometry

Example Question #201 : Geometry

Example Question #427 : Ssat Upper Level Quantitative (Math)

Example Question #151 : Lines

Example Question #151 : Coordinate Geometry

Example Question #1 : How To Find The Slope Of Parallel Lines

Example Question #2 : How To Find The Slope Of Parallel Lines

Example Question #1 : How To Find The Slope Of Parallel Lines

Example Question #11 : Parallel Lines

All SSAT Upper Level Math Resources

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