sat-dog

$y>14$

$4x+y<18$

The point $\left(x,53\right)$ is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of $x$?

The formula above is Ohm’s law for an electric circuit with current I, in amperes, potential difference V, in volts, and resistance R, in ohms. A circuit has a resistance of 500 ohms, and its potential difference will be generated by n six-volt batteries that produce a total potential difference of volts. If the circuit is to have a current of no more than 0.25 ampere, what is the greatest number, n, of six-volt batteries that can be used?

$y<6x+2$

For which of the following tables are all the values of $x$ and their corresponding values of $y$ solutions to the given inequality?

$y>13x-18$

For which of the following tables are all the values of $x$ and their corresponding values of $y$ solutions to the given inequality?

Normal body temperature for an adult is between and , inclusive. If Kevin, an adult male, has a body temperature that is considered to be normal, which of the following could be his body temperature?

Which of the following ordered pairs satisfies the inequality ?

A clothing store is having a sale on shirts and pants. During the sale, the cost of each shirt is $15 and the cost of each pair of pants is $25. Geoff can spend at most $120 at the store. If Geoff buys s shirts and p pairs of pants, which of the following must be true?

A shipping service restricts the dimensions of the boxes it will ship for a certain type of service. The restriction states that for boxes shaped like rectangular prisms, the sum of the perimeter of the base of the box and the height of the box cannot exceed 130 inches. The perimeter of the base is determined using the width and length of the box. If a box has a height of 60 inches and its length is 2.5 times the width, which inequality shows the allowable width x, in inches, of the box?

A business owner plans to purchase the same model of chair for each of the $81$ employees. The total budget to spend on these chairs is $\$\mathrm{14,000}$, which includes a $7\%$ sales tax. Which of the following is closest to the maximum possible price per chair, before sales tax, the business owner could pay based on this budget?

Ken is working this summer as part of a crew on a farm. He earned $8 per hour for the first 10 hours he worked this week. Because of his performance, his crew leader raised his salary to $10 per hour for the rest of the week. Ken saves 90% of his earnings from each week. What is the least number of hours he must work the rest of the week to save at least $270 for the week?

Which of the following consists of the y-coordinates of all the points that satisfy the system of inequalities above?

An elementary school teacher is ordering x workbooks and y sets of flash cards for a math class. The teacher must order at least 20 items, but the total cost of the order must not be over $80. If the workbooks cost $3 each and the flash cards cost $4 per set, which of the following systems of inequalities models this situation?

An event planner is planning a party. It costs the event planner a onetime fee of $\$35$ to rent the venue and $\$10.25$ per attendee. The event planner has a budget of $\$200$. What is the greatest number of attendees possible without exceeding the budget?

A model estimates that whales from the genus Eschrichtius travel $72$ to $77$ miles in the ocean each day during their migration. Based on this model, which inequality represents the estimated total number of miles, $x$, a whale from the genus Eschrichtius could travel in $16$ days of its migration?

A moving truck can tow a trailer if the combined weight of the trailer and the boxes it contains is no more than $\mathrm{4,600}$ pounds. What is the maximum number of boxes this truck can tow in a trailer with a weight of $500$ pounds if each box weighs $120$ pounds?

The average annual energy cost for a certain home is $4,334. The homeowner plans to spend $25,000 to install a geothermal heating system. The homeowner estimates that the average annual energy cost will then be $2,712. Which of the following inequalities can be solved to find t, the number of years after installation at which the total amount of energy cost savings will exceed the installation cost?

The minimum value of $x$ is $12$ less than $6$ times another number $n$. Which inequality shows the possible values of $x$?

Maria plans to rent a boat. The boat rental costs $60 per hour, and she will also have to pay for a water safety course that costs $10. Maria wants to spend no more than $280 for the rental and the course. If the boat rental is available only for a whole number of hours, what is the maximum number of hours for which Maria can rent the boat?

The shaded region shown represents the solutions to which inequality?

Monarch butterflies can fly only with a body temperature of at least $55.0 \text{degrees} \text{Fahrenheit} \left(°\text{F}\right)$. If a monarch butterfly's body temperature is $51.3°\text{F}$, what is the minimum increase needed in its body temperature, in $°\text{F}$, so that it can fly?

A cleaning service that cleans both offices and homes can clean at most $14$ places per day. Which inequality represents this situation, where $f$ is the number of offices and $h$ is the number of homes?

Which of the following ordered pairs (x, y) satisfies the system of inequalities above?