sat-dog

$F\left(x\right)=\frac{9}{5}\left(x-273.15\right)+32$

The function $F$ gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of $x$ kelvins. If a temperature increased by $2.10$ kelvins, by how much did the temperature increase, in degrees Fahrenheit?

$s=40+3t$

The equation gives the speed $s$, in miles per hour, of a certain car $t$ seconds after it began to accelerate. What is the speed, in miles per hour, of the car $5$ seconds after it began to accelerate?

In the equation above, T represents Brittany’s total take-home pay, in dollars, for her first week of work, where h represents the number of hours she worked that week and 1,000 represents a sign-on bonus. If Brittany’s total take-home pay was $1,576, for how many hours was Brittany paid for her first week of work?

The function  is defined as , where a is a constant. If , what is the value of a ?

$j\left(x\right)=mx+144$

For the linear function $j$, $m$ is a constant and $j\left(12\right)=18$. What is the value of $j\left(10\right)$?

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If x food calories is equivalent to k kilojoules, of the following, which best represents the relationship between x and k ?

The table gives the number of hours, $h$, of labor and a plumber’s total charge $f\left(h\right)$, in dollars, for two different jobs.

There is a linear relationship between $h$ and $f\left(h\right)$. Which equation represents this relationship?

The function $f$ is defined by $f\left(x\right)=\frac{x+15}{5}$, and $f\left(a\right)=10$, where $a$ is a constant. What is the value of $a$?

The function $f$ is defined by the equation $f\left(x\right)=100x+2$. What is the value of $f\left(x\right)$ when $x=9$?

If $f\left(x\right)=x+7$ and $g\left(x\right)=7x$, what is the value of $4f\left(2\right)-g\left(2\right)$?

On January 1, 2015, a city’s minimum hourly wage was $9.25. It will increase by $0.50 on the first day of the year for the next 5 years. Which of the following functions best models the minimum hourly wage, in dollars, x years after January 1, 2015, where ?

The length, $y$, of a white whale was $162 \text{centimeters} \left(\text{cm}\right)$ when it was born and increased an average of $4.8 \text{cm}$ per month for the first $12$ months after it was born. Which equation best represents this situation, where $x$ is the number of months after the whale was born and $y$ is the length, in $\text{cm}$, of the whale?

The table above shows some values of x and their corresponding values for the linear function f. What is the x-intercept of the graph of in the xy-plane?

The function $f$ is defined by $f\left(x\right)=\frac{1}{10}x-2$. What is the y-intercept of the graph of $y=f\left(x\right)$ in the xy-plane?

$g\left(m\right)=-0.05m+12.1$

The given function $g$ models the number of gallons of gasoline that remains from a full gas tank in a car after driving $m$ miles. According to the model, about how many gallons of gasoline are used to drive each mile?

The equation above represents the speed y, in feet per second, of Sheila’s bicycle x seconds after she applied the brakes at the end of a ride. If the equation is graphed in the xy-plane, which of the following is the best interpretation of the x-coordinate of the line’s x-intercept in the context of the problem?

In the linear function $h$, $h\left(0\right)=41$ and $h\left(1\right)=40$. Which equation defines $h$?

Hana deposited a fixed amount into her bank account each month. The function $f\left(t\right)=100+25t$ gives the amount, in dollars, in Hana's bank account after $t$ monthly deposits. What is the best interpretation of $25$ in this context?

The function $f$ is defined by $f\left(x\right)=5x+8$. For what value of $x$ does $f\left(x\right)=58$?

The function $h$ is defined by $h\left(x\right)=x+200$. What is the value of $h\left(50\right)$?

The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojoules, of the three macronutrients in food. If the 180 food calories in a granola bar come entirely from p grams of protein, f grams of fat, and c grams of carbohydrate, which of the following expresses f in terms of p and c ?

An object hangs from a spring. The formula relates the length , in centimeters, of the spring to the weight w, in newtons, of the object. Which of the following describes the meaning of the 2 in this context?

For the function f, if for all values of x, what is the value of ?

Scientists collected fallen acorns that each housed a colony of the ant species P. ohioensis and analyzed each colony's structure. For any of these colonies, if the colony has $x$ worker ants, the equation $y=0.67x+2.6$, where $20\le x\le 110$, gives the predicted number of larvae, $y$, in the colony. If one of these colonies has $58$ worker ants, which of the following is closest to the predicted number of larvae in the colony?

The graph of the function f is a line in the xy-plane. If the line has slope and , which of the following defines f?