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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

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All SSAT Upper Level Math Resources

6 Diagnostic Tests 311 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #11 : Parallel Lines

Which of the following lines is parallel to the line y=-3x+1 ?

Possible Answers:

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

y=-3x+12

y=3x-2

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

Correct answer:

y=-3x+12

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line y=-3x+1 is . That means that for the two lines to be parallel, the slope of the second line must also be .

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Example Question #421 : Ssat Upper Level Quantitative (Math)

Which of the following lines is parallel to the line with the equation $y=\frac{1}{4}x+3$ ?

Possible Answers:

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

y=-4x-2

y=4x+3

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

Correct answer:

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

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line $y=\frac{1}{4}x+3$ is $\frac{1}{4}$ . That means that for the two lines to be parallel, the slope of the second line must also be $\frac{1}{4}$ .

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Example Question #423 : Ssat Upper Level Quantitative (Math)

Which of the following equations is parallel to the line with the equation y=9x-2?

Possible Answers:

y=9x+2

$y=-\frac{1}{9}x-2$

y=-9x+2

$y=\frac{1}{9}x-2$

Correct answer:

y=9x+2

Explanation:

Parallel lines have the same slope. The slope of a line in slope-intercept form (y=mx+b) is the value of . So, the slope of the line y=9x-2? is . That means that for the two lines to be parallel, the slope of the second line must also be .

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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 #151 : Coordinate Geometry

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

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

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

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

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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All SSAT Upper Level Math Resources

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SSAT Upper Level Math : SSAT Upper Level Quantitative (Math)

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

All SSAT Upper Level Math Resources

Example Questions

Example Question #11 : Parallel Lines

Example Question #421 : Ssat Upper Level Quantitative (Math)

Example Question #423 : Ssat Upper Level Quantitative (Math)

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 #151 : Coordinate Geometry

All SSAT Upper Level Math Resources

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