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

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

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Example Questions

Example Question #51 : Algebra

Micah is seeking new employment. The salary that he desires must be $4,000 per month with a tolerance of $600.  Which absolute value inequality can be used to assess the salary which will be tolerable?

Possible Answers:

Correct answer:

Explanation:

 is the correct solution.

This absolute value inequality states that the difference between the salary of $4,000 must be less than or equal to $600 to be tolerable.

Example Question #22 : How To Find Absolute Value

In order to ride the roller coaster at the local amusement park, children must be  tall with a tolerance of  Which of the following absolute value inequalities can be used to assess which heights will be tolerable?

Possible Answers:

Correct answer:

Explanation:

 is the correct solution.

This Absolute Value inequality states that the difference between the children's height and  must be less than or equal to .

Example Question #53 : Algebra

Using  compare the following absolute value.

 

 __________

Possible Answers:

Correct answer:

Explanation:

The absolute value of a number is its distance from zero. The absolute value of a negative integer is a positive integer. The distance from  zero to  on a number line is , so

 

The absolute value of a number is its distance from zero. The absolute value of a negative integer is a positive integer. The distance from 0 to on a number line     is . Therefore:

 

Therefore

because

Example Question #12 : How To Find Absolute Value

Evaluate the expression if  and .

Possible Answers:

Correct answer:

Explanation:

To solve, we replace each variable with the given value.

Simplify. Remember that terms inside of the absolute value are always positive.

Example Question #21 : How To Find Absolute Value

Evaluate: 

Possible Answers:

Correct answer:

Explanation:

 

 

Example Question #1 : How To Find The Properties Of An Exponent

Evaluate \dpi{100} \frac{2^{10}}{2^{8}}

Possible Answers:

\dpi{100} 200

\dpi{100} 4

\dpi{100} 2

\dpi{100} \frac{8}{5}

Correct answer:

\dpi{100} 4

Explanation:

If you divide two exponential expressions with the same base, you can simply subtract the exponents.  Here, both the top and the bottom have a base of 2 raised to a power.

So \dpi{100} \frac{2^{10}}{2^{8}}=2^{10-8}=2^{2}=4

Example Question #1 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

\dpi{100} 2^{3}\cdot 2^{2}

Possible Answers:

\dpi{100} 32

\dpi{100} 2^{6}

\dpi{100} 16

Correct answer:

\dpi{100} 32

Explanation:

Since the two expressions have the same base, we just add the exponents.

\dpi{100} 2^{3}\cdot 2^{2}=2^{3+2}=2^{5}=32

Example Question #11 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Evaluate: \dpi{100} (3^{3})^{2}

Possible Answers:

\dpi{100} 3^{5}

\dpi{100} 243

\dpi{100} 3^{6}

\dpi{100} 729

Correct answer:

\dpi{100} 3^{6}

Explanation:

A power raised to a power indicates that you multiply the two powers.

\dpi{100} (3^{3})^{2}=3^{3\cdot 2}=3^{6}

Example Question #1 : How To Find The Properties Of An Exponent

\dpi{100} Evaluate: (0.50^{2})

Possible Answers:

\dpi{100} 0.25

\dpi{100} 2.5

\dpi{100} 25

\dpi{100} 1

Correct answer:

\dpi{100} 0.25

Explanation:

We can either write \dpi{100} 0.5\times 0.5, or we can convert this to a fraction and write

\dpi{100} \frac{1}{2}\times \frac{1}{2}

\dpi{100} \frac{1}{2}\times \frac{1}{2}=\frac{1\times 1}{2\times 2}=\frac{1}{4}

\dpi{100} \frac{1}{4} in decimal form is 0.25.

Example Question #51 : Ssat Upper Level Quantitative (Math)

\dpi{100} (0.75)^{2}=

Possible Answers:

\dpi{100} \frac{9}{16}

\dpi{100} 49.5

\dpi{100} 58.5

\dpi{100} 5.85

Correct answer:

\dpi{100} \frac{9}{16}

Explanation:

Convert .75 to a fraction. \dpi{100} \frac{75}{100}=\frac{3}{4}.

Now multiply \dpi{100} \frac{3}{4}\times \frac{3}{4}=\frac{3\times 3}{4\times 4}=\frac{9}{16}

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