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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

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Example Questions

Example Question #2 : How To Find Slope Of A Line

A line has the equation 8x-7y=14 . What is the slope of the line?

Possible Answers:

$-\frac{7}{8}$

$\frac{8}{7}$

$\frac{7}{8}$

$-\frac{8}{7}$

Correct answer:

$\frac{8}{7}$

Explanation:

Change the equation into the more familiar y=mx+b form. The value of will be the slope.

8x-7y=14

7y=8x-14

$y=\frac{8}{7}x-2$

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Example Question #72 : Geometry

What is the slope of a line that passes through the points $(15, -2)\text{ and }(-16, 20)$ ?

Possible Answers:

$-\frac{31}{22}$

$\frac{31}{22}$

$\frac{22}{31}$

$-\frac{22}{31}$

Correct answer:

$-\frac{22}{31}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Plug in the given points to find the slope.

$Slope=\frac{20-(-2)}{-16-15}=-\frac{22}{31}$

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Example Question #73 : Geometry

Find the slope of the line that passes through the points $(-9, 2)\text{ and }(-2, -2)$

Possible Answers:

$\frac{7}{4}$

$\frac{4}{7}$

$-\frac{7}{4}$

$-\frac{4}{7}$

Correct answer:

$-\frac{4}{7}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-2-2}{-2-(-9)}=-\frac{4}{7}$

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Example Question #22 : Coordinate Geometry

Find the slope of the line that passes through the points $(-6, 2)\text{ and }(4,-4)$

Possible Answers:

$\frac{3}{5}$

$-\frac{3}{5}$

Correct answer:

$-\frac{3}{5}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-4-2}{4-(-6)}=\frac{-6}{10}=-\frac{3}{5}$

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Example Question #23 : Coordinate Geometry

Find the slope of the line that passes through the points $(1,1)\text{ and }(-8,6)$ .

Possible Answers:

$-\frac{9}{5}$

$\frac{5}{9}$

$\frac{9}{5}$

$-\frac{5}{9}$

Correct answer:

$-\frac{5}{9}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{6-1}{-8-1}=-\frac{5}{9}$

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Example Question #24 : Coordinate Geometry

Find the slope of the line that passes through the points $(2, -3)\text{ and }(-3, -3)$

Possible Answers:

$\frac{5}{6}$

$\frac{6}{5}$

$\text{Undefined}$

Correct answer:

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope}=\frac{-3-(-3)}{-3-2}=\frac{0}{-5}=0$

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Example Question #302 : Ssat Upper Level Quantitative (Math)

Find the slope of the line that passes through the points $\left(\frac{1}{3}, -\frac{4}{5}\right)$ and $\left ( -6,10\right )$ .

Possible Answers:

$\frac{162}{95}$

$-\frac{95}{162}$

$\frac{95}{162}$

$-\frac{162}{95}$

Correct answer:

$-\frac{162}{95}$

Explanation:

Use the following formula to find the slope:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

Plug in the given points to find the slope.

$\text{Slope}=\frac{10-(-\frac{4}{5})}{-6-\frac{1}{3}}=\frac{\frac{54}{5}}{-\frac{19}{3}}=-\frac{162}{95}$

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Example Question #31 : Other Lines

A line goes passes through the points $\left(-\frac{1}{2}, 5\right)\text{ and }\left(\frac{3}{2}, -1\right)$ . What is the slope of this line?

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

Use the following formula to find the slope of a line:

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

The slope of this line would be

$\frac{-1-5}{\frac{3}{2}-(-\frac{1}{2})}=\frac{-6}{2}=-3$

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Example Question #1 : Other Lines

What is the slope of line 3 = 8y - 4x?

Possible Answers:

-2

0.5

-0.5

Correct answer:

0.5

Explanation:

Solve equation for y. y=mx+b, where m is the slope

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Example Question #31 : Lines

Find the slope of the line 6X – 2Y = 14

Possible Answers:

-3

-6

Correct answer:

Explanation:

Put the equation in slope-intercept form:

y = mx + b

-2y = -6x +14

y = 3x – 7

The slope of the line is represented by M; therefore the slope of the line is 3.

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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 #2 : How To Find Slope Of A Line

Example Question #72 : Geometry

Example Question #73 : Geometry

Example Question #22 : Coordinate Geometry

Example Question #23 : Coordinate Geometry

Example Question #24 : Coordinate Geometry

Example Question #302 : Ssat Upper Level Quantitative (Math)

Example Question #31 : Other Lines

Example Question #1 : Other Lines

Example Question #31 : Lines

All SSAT Upper Level Math Resources

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