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Monarch butterflies can fly only with a body temperature of at least 55.0 degrees Fahrenheit (${}^{\circ}$F). If a monarch butterfly's body temperature is 51.3${}^{\circ}$F, what is the minimum increase needed in its body temperature, in ${}^{\circ}$F, so that it can fly?
MathAlgebra
$2x+7y=9$

$8x+28y=a$

In the given system of equations, $a$ is a constant. If the system has infinitely many solutions, what is the value of $a$?
MathAlgebra
A candle is made of 17 ounces of wax. When the candle is burning, the amount of wax in the candle decreases by 1, ounce every 4 hours. If 6 ounces of wax remain in this candle, for how many hours has it been burning?
MathAlgebra
If $x=40$, what is the value of $x+6$?
MathAlgebra
The function $g$ is defined by $g(x)=10x+8$. What is the value of $g(x)$ when $x=8$?
MathAlgebra
Davio bought some potatoes and celery. The potatoes cost $\$0.69$ per pound, and the celery cost $\$0.99$ per pound. If Davio spent $\$5.34$ in total and bought twice as many pounds of celery as pounds of potatoes, how many pounds of celery did Davio buy?
MathAlgebra
What is the solution to the equation $2x+3 = 7$?
MathAlgebra
If $5x=20$, what is the value of $15x$
MathAlgebra
Population of Greenleaf, Idaho
Year Population
2000 862
2010 846
The table above shows the population of Greenleaf, Idaho, for the years 2000 and 2010. If the relationship between population and year is linear, which of the following functions $P$ models the population of Greenleaf $t$ years after 2000?
MathAlgebra
Angela is playing a video game. In this game, players can score points only by collecting coins and stars. Each coin is worth $c$ points, and each star is worth $s$ points.

-- The first time she played, Angela scored 700 points. She collected 20 coins and 10 stars.
-- The second time she played, Angela scored 850 points. She collected 25 coins and 12 stars.

Which system of equations can be used to correctly determine the values of $c$ and $s$?
MathAlgebra
Last week, an interior designer earned a total of $\$1,258$ from consulting for $x$ hours and drawing up plans for $y$ hours. The equation $68x+85y=1,258$ represents this situation. Which of the following is the best interpretation of 68 in this context?
MathAlgebra
For groups of 25 or more people, a museum charges $\$21$ per person for the first 25 people and $\$14$ for each additional person. Which function $f$ gives the total charge, in dollars, for a tour group with $n$ people, where $n\geq 25$?
MathAlgebra
$P(t)=250+10t$

The population of snow leopards in a certain area can be modeled by the function $P$ defined above, where $P(t)$ is the population $t$ years after 1990. Of the following, which is the best interpretation of the equation $P(30)=550$ ?
MathAlgebra
A movie theater charges $\$11$ for each full-price ticket and $\$8.25$ for each reduced-price ticket. For one movie showing, the theater sold a total of 214 full-price and reduced-price tickets for $\$2,145$. Which of the following systems of equations could be used to determine the number of full-price tickets, $f$, and the number of reduced-price tickets, $r$, sold?
MathAlgebra
A discount airline sells a certain number of tickets, $x$, for a flight for $\$90$ each. It sells the number of remaining tickets, $y$, for $\$250$ each. For a particular flight, the airline sold 120 tickets and collected a total of $\$27,600$ from the sale of those tickets. Which system of equations represents this relationship between $x$ and $y$?
MathAlgebra
$\frac{1}{4}\left(x+5\right)-\frac{1}{3}\left(x+5\right)=-7$

What value of $x$ is the solution to the given equation?
MathAlgebra
Robert rented a truck to transport materials he purchased from a hardware store. He was charged an initial fee of $\$20.00$ plus an additional $\$0.70$ per mile driven. If the truck was driven 38 miles, what was the total amount Robert was charged?
MathAlgebra
If $2(x-5)+3(x-5)=10$, what is the value of $x-5$?
MathAlgebra
A science teacher is preparing the 5 stations of a science laboratory. Each station will have either Experiment A materials or Experiment B materials, but not both. Experiment A requires 6 teaspoons of salt, and Experiment B requires 4 teaspoons of salt. If $x$ is the number of stations that will be set up for Experiment A and the remaining stations will be set up for Experiment B, which of the following expressions represents the total number of teaspoons of salt required?
MathAlgebra
An online bookstore sells novels and magazines. Each novel sells for $\$4$, and each magazine sells for $\$1$. If Sadie purchased a total of 11 novels and magazines that have a combined selling price of $\$20$, how many novels did she purchase?
MathAlgebra
$$y=6x+18$$

One of the equations in a system of two linear equations is given. The system has no solution. Which equation could be the second equation in the system?
MathAlgebra
The graph of the function $f$ is a line in the $xy$-plane. If the line has slope $\frac{3}{4}$ and $f(0)=3$, which of the following defines $f$?
MathAlgebra
Scientists collected fallen acorns that each housed a colony of the ant species P. ohoensis and analyzed each colony's structure. For any of these colonies, if the colony has $\bm{x}$ worker ants, the equation $\bm{y}=0.67\bm{x}+2.6$, where $\bm{20}\leq\bm{x}\leq\bm{110}$, gives the predicted number of larvae, $\bm{y}$, 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?
MathAlgebra
May walks at a speed of 3 miles per hour and runs at a speed of 5 miles per hour. She walks for $w$ hours and runs for $r$ hours for a combined total of 14 miles. Which equation represents this situation?
MathAlgebra
A neighborhood consists of a 2-hectare park and a 35-hectare residential area. The total number of trees in the neighborhood is 3,934. The equation $2x+35y=3,934$ represents this situation. Which of the following is the best interpretation of $x$ in this context?
MathAlgebra