Working with Inequalities and Absolute Value

Practice Questions

SAT Math › Working with Inequalities and 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 provides the full solution set for the inequality above?

5

Which of the following provides the full solution set to the inequality above?

6

Which of the following is not a possible value for x given the inequality above?

7

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

8

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

9

If , in terms of y, what is the full range of possible values for x?

10

If an election analyst receives a bonus when her prediction "p" is within 12 votes of the actual number, "a," the scenario in which she receives her bonus is expressed by the inequality below.

According to this inequality, which of the following expresses the full range of possible values for "p" if the actual number of votes, "a" for a particular candidate is 127, and the analyst received her bonus?

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