Inequalities & Absolute Value

Practice Questions

SAT Math › Inequalities & Absolute Value

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1

The formula above gives the monthly cost, , of running a food truck, where the driver works hours and gallons of gasoline are used for driving and operating the truck. If, in a particular month, it costs more than $3,500 to run the truck and no more than 220 gallons of gas were used, what is the minimum number of hours that the driver worked that month?

2

A home is considered to be outside of market value in a particular market if its appraised price, "p" is more that $10,000 away from 90% of the median home value in the neighborhood, "m."

Which of the following inequalities represents a scenario in which a home is outside of market value in this market?

3

Which of the following represents the complete solution set for the inequality above?

4

Which of the following expresses the complete set of values for that satisfy the inequality above?

5

For what value of is ?

6

Which of the following, if solved, would yield the set of all real numbers that are exactly 15 units away from -3?

7

If and , which of the following must be true?

8

Which of the following is a possible value of x given the system of inequalities below?

3x+4y > 54

-4x+2y < 10

9

Which of the following represents the complete set of values of that satisfy the inequality above?

10

Which of the following represents the complete solution set for the inequality above?

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