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

## 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?     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 #52 : Algebra

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?     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. __________      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 .       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 #26 : How To Find Absolute Value

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

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

Since the two expressions have the same base, we just add the exponents. ### Example Question #11 : Generate Equivalent Numerical Expressions: Ccss.Math.Content.8.Ee.A.1

Evaluate:      Explanation:

A power raised to a power indicates that you multiply the two powers. ### Example Question #1 : How To Find The Properties Of An Exponent      Explanation:

We can either write , or we can convert this to a fraction and write   in decimal form is 0.25.

### Example Question #51 : Ssat Upper Level Quantitative (Math)      Convert .75 to a fraction. .
Now multiply  