# 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.

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.