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In an article about exercise, it is estimated that a 160-pound adult uses 200 calories for every 30 minutes of hiking and 150 calories for every 30 minutes of bicycling. An adult who weighs 160 pounds has completed 1 hour of bicycling. Based on the article, how many hours should the adult hike to use a total of 1,900 calories from bicycling and hiking?
MathAlgebra
Tony spends $\$80$ per month on public transportation. A 10-ride pass costs $\$12.50$, and a single-ride pass costs $\$1.50$. If $g$ represents the number of 10-ride passes Tony buys in a month and $t$ represents the number of single-ride passes Tony buys in a month, which of the following equations best represents the relationship between $g$ and $t$?
MathAlgebra
The function $g$ is defined as $g(x)=5x+a$, where $a$ is a constant. If $g(4)=31$, what is the value of $a$ ?
MathAlgebra
$T=1,000+18h$

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?
MathAlgebra
Connor has $c$ dollars and Maria has $m$ dollars. Connor has 4 times as many dollars as Maria, and together they have a total of $\$25.00$. Which system of equations represents this situation?
MathAlgebra
Each side of a 30-sided polygon has one of three lengths. The number of sides with length 8 centimeters (cm) is 5 times the number of sides $n$ with length 3 cm. There are 6 sides with length 4 cm. Which equation must be true for the value of $n$?
MathAlgebra
$s=40+3t$

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

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?
MathAlgebra
$3x=12$

$-3x+y=-6$

The solution to the given system of equations is $(x,y)$. What is the value of $y$?
MathAlgebra
$y>14$

$4x+y<18$

The point $(x,53)$ is a solution to the system of inequalities in the xy-plane. Which of the following could be the value of $x$?
MathAlgebra
$$w(t)=300-4t$$

The function $w$ models the volume of liquid, in milliliters, in a container $t$ seconds after it begins draining from a hole at the bottom. According to the model, what is the predicted volume, in milliliters, draining from the container each second?
MathAlgebra
$x=5$

$y=x-8$

Which of the following points $\left(x,y\right)$ is the solution to the given system of equations in the $xy$-plane?
MathAlgebra
Line $l$ in the $xy$-plane is perpendicular to the line with equation $x=2$. What is the slope of line $l$?
MathAlgebra
$$-15x+25y=65$$

One of the two equations in a system of linear equations is given. The system has infinitely many solutions. Which of the following could be the second equation in the system?
MathAlgebra
$$f(x)=2x+244$$

The given function $f$ represents the perimeter, in centimeters (cm), of a rectangle with a length of $x$ cm and a fixed width. What is the width, in cm, of the rectangle?
MathAlgebra
In the linear function $f$, $f(0)=8$ and $f(1)=12$. Which equation defines $f$?
MathAlgebra
For what value of $w$ does $w-10=2(w+5)$?
MathAlgebra
$x$ $y$
0 18
1 13
2 8
 
The table shows three values of $x$ and their corresponding values of $y$. There is a linear relationship between $x$ and $y$. Which of the following equations represents this relationship?
MathAlgebra
If $4x+2=12$, what is the value of $16x+8$?
MathAlgebra
Townsend Realty Group Investments
Property address Purchase price (dollars) Monthly rental price (dollars)
Clearwater Lane 128,000 950
Driftwood Drive 176,000 1,310
Edgemont Street 70,000 515
Glenview Street 140,000 1,040
Hamilton Circle 450,000 3,365
 
The Townsend Realty Group invested in the five different properties listed in the table above. The table shows the amount, in dollars, the company paid for each property and the corresponding monthly rental price, in dollars, the company charges for the property at each of the five locations. Townsend Realty purchased the Glenview Street property and received a 40% discount off the original price along with an additional 20% off the discounted price for purchasing the property in cash. Which of the following best approximates the original price, in dollars, of the Glenview Street property?
MathAlgebra
$x+2y=6$

$x-2y=4$

The solution to the given system of equations is $(x,y)$. What is the value of $x$?
MathAlgebra
If $7x = 28$, what is the value of $8x$?
MathAlgebra
A gym charges its members a onetime $\$36$ enrollment fee and a membership fee of $\$19$ per month. If there are no charges other than the enrollment fee and the membership fee, after how many months will a member have been charged a total of $\$188$ at the gym?
MathAlgebra
If $x=7$, what is the value of $x+20$?
MathAlgebra
Marisol drove 3 hours from City A to City B. The equation below estimates the distance $d$, in miles, Marisol, traveled after driving for $t$ hours.

$d=45t$

Which of the following does $45$ represent in the equation?
MathAlgebra