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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

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All SSAT Middle Level Math Resources

10 Diagnostic Tests 225 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #181 : Algebra

Solve for the variable:

4x+5=21

Possible Answers:

x=26

x=5

There is not enough information to answer this question.

x=4

x=21

Correct answer:

x=4

Explanation:

In order to answer this question, you must isolate on one side of the equation.

4x+5=21 (Subtract from both sides.)

4x=16

$\frac{4x}{4}=\frac{16}{4}$

x=4

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Example Question #2 : How To Divide Variables

If y=12 and z=3 , then $\frac{y}{z}$ is equal to:

Possible Answers:

$\frac{1}{4}$

$\frac{1}{3}$

Correct answer:

Explanation:

If y=12 and z=3 , then when plugging the variables into the fractional form of $\frac{y}{z}$ , the result is $\frac{12}{3}$ , which is equal to 4, which is therefore the correct answer.

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Example Question #2 : How To Divide Variables

Solve for the variable:

3x+6=15

Possible Answers:

x=4

x=1

x=6

x=2

x=3

Correct answer:

x=3

Explanation:

In order to answer this question, you must isolate on one side of the equation.

3x+6=15 (Subtract from both sides.)

3x = 9

$\frac{3x}{3}=\frac{9}{3}$

x=3

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Example Question #112 : Variables

If y=30 and x=5 , then $\frac{y}{x}$ is equal to:

Possible Answers:

30.5

$\frac{6}{5}$

Correct answer:

Explanation:

If y=30 and x=5 , then when plugging the variables into the fractional form of:

$\frac{y}{x}=\frac{30}5$

$\frac{30}{5}=\frac{6}{1}=6$

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Example Question #5 : How To Divide Variables

Simpify the expression.

$\frac{24abcdefg}{24abcdefgh}$

Possible Answers:

$\frac{1}{abcdefgh}$

$\frac{24}{h}$

$\frac{1}{h}$

$\frac{abcdefg}{abcdefgh}$

$\frac{abcdefg}{h}$

Correct answer:

$\frac{1}{h}$

Explanation:

To solve this problem you can cancel out like terms in the numerator and denominator. For example,

$\frac{24}{24}=1$

$\frac{a}{a}=1$

So,

$\frac{24\cdot a\cdot b\cdot c\cdot d\cdot e\cdot f\cdot g}{24\cdot a\cdot b\cdot c\cdot d\cdot e\cdot f\cdot g\cdot h}=\frac{1}{h}$

All the other terms cancel each other out because they are equal to one.

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Example Question #1 : Coordinate Geometry

Give the slope of the line that passes through (4,2) and (-8,-3) .

Possible Answers:

$-\frac{5}{2}$

$\frac{5}{12}$

$-\frac{2}{5}$

$\frac{1}{4}$

$\frac{12}{5}$

Correct answer:

$\frac{5}{12}$

Explanation:

Use the slope formula, substituting $x_{1}= 4, y_{1}=2,x_{2}= -8, y_{2}=-3$ :

$m =\frac{ y_{2}- y_{1} }{x_{2} - x_{1}}=\frac{ -3-2 }{-8-4} = \frac{ -5 }{-12} = \frac{5 }{12}$

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Example Question #2 : Coordinate Geometry

Give the slope of a line that passes through (5,5) and (2,4) .

Possible Answers:

$\frac{1}{3}$

$\frac{3}{4}$

$\frac{4}{5}$

$\frac{2}{5}$

$\frac{1}{2}$

Correct answer:

$\frac{1}{3}$

Explanation:

Using the slope formula, substituting $x_{1}=5$ , $x_{2}=2$ , $y_{1}=5$ , and $y_{2}=4$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{4-5}{2-5}$

Subtract to get:

$m=\frac{-1}{-3}$

Cancel out the negative signs to get:

$m=\frac{1}{3}$

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Example Question #2 : Geometry

Give the slope of a line that passes through (-7,4) and (2,5) .

Possible Answers:

$\frac{2}{9}$

$\frac{3}{8}$

$\frac{5}{7}$

$\frac{1}{9}$

$\frac{4}{7}$

Correct answer:

$\frac{1}{9}$

Explanation:

Using the slope formula with $x_{1}=-7$ , $x_{2}=2$ , $y_{1}=4$ , $y_{2}=5$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{5-4}{2-(-7)}$

Subtract to get:

$m=\frac{1}{9}$

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Example Question #3 : Geometry

Give the slope of the line that passes through (-5,3) and (1,9) .

Possible Answers:

$-\frac{1}{2}$

$\frac{1}{2}$

$\frac{3}{2}$

$-\frac{3}{4}$

Correct answer:

Explanation:

Using the slope formula for

$x_{1}=-5$ , $x_{2}=1$ , $y_{1}=3$ , and $y_{2}=9$ :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{9-3}{1-(-5)}$

Combine the negative signs to get:

$m=\frac{9-3}{1+5}$

Subtract and add to get:

$m=\frac{6}{6}$

Reduce to get:

m=1

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Example Question #3 : Geometry

Give the slope of a line that passes through (4,7) and (2,3) .

Possible Answers:

$\frac{3}{7}$

$-\frac{1}{2}$

$\frac{1}{2}$

Correct answer:

Explanation:

Using the slope formula, where is the slope, $(x_{1},y_{1})=$ (4,7) , and $(x_{2},y_{2})=$ (2,3) :

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{3-7}{2-4}$

$m=\frac{-4}{-2}$

m=2

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SSAT Middle Level Math : SSAT Middle Level Quantitative (Math)

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

All SSAT Middle Level Math Resources

Example Questions

Example Question #181 : Algebra

Example Question #2 : How To Divide Variables

Example Question #2 : How To Divide Variables

Example Question #112 : Variables

Example Question #5 : How To Divide Variables

Example Question #1 : Coordinate Geometry

Example Question #2 : Coordinate Geometry

Example Question #2 : Geometry

Example Question #3 : Geometry

Example Question #3 : Geometry

All SSAT Middle Level Math Resources

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