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The function $f$ is defined by the equation $f(x)=100x+2$. What is the value of $f(x)$ when $x=97$
Math
Algebra
In the $xy$-plane, line $k$ passes through the points $(0,-5)$ and $(1,-1)$. Which equation defines line $k$?
Math
Algebra
\textbf{Figure Captions}
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\textbf{Figure
Math
Algebra
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 $\rho$ pairs of pants, which of the following must be true?
Math
Algebra
If $\frac{x+6}{3}=\frac{x+6}{13}$, the value of $x+6$ is between which of the following pairs of values?
Math
Algebra
The function $f$ is defined by $f(x)=\frac{x+15}{5}$, and $f(a)=10$, where $a$ is a constant. What is the value of $a$?
Math
Algebra
A dance teacher ordered outfits for students for a dance recital. Outfits for boys cost $26, and outfits for girls cost $35. The dance teacher ordered a total of 28 outfits and spent $88
Math
Algebra
When line $n$ is graphed in the $xy$-plane, it has an $x$-intercept of $ (-4,0)$ and $y$-intercept of $ (0,\frac{86}{3})$. What is the slope of line $n$ $?
Math
Algebra
$6x+7y=28$
$2x+2y=10$
The solution to the given system of equations is $(x,y)$. What is the value of $y$?
Math
Algebra
Which of the following ordered pairs $(X,y)$ satisfies the inequality $5x-3y<4$ ?
1.(1,1)
2.(2,5)
3.(3,2)
Math
Algebra
$$-3x+21px=84$$
In the given equation, $p$ is a constant. The equation has no solution. What is the value of $p$?
Math
Algebra
A city is planning to build a rock retaining wall, a monument, and a garden in a park. The table above shows four rock types that will be considered for use in the project. Also shown for each rock type is its weight per volume, in pounds per cubic foot (lb/ft), and the cost per pound, in dollars. The equation $0.03(120w)+0.18(180z)+3,385.80=7,576.20$ gives the total cost, in dollars, of the rocks used in the project in terms of the number of ft3 of limestone, $w$, and the number of ft 3 of basalt, $z$. All four rock types are used in the project. Which of the following is the best interpretation of 3,385.80 in this context?
Math
Algebra
Normal body temperature for an adult is between 97.8${}^{o}$F and 99${}^{o}$F, 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?
Math
Algebra
A wire with a length of 106 inches is cut into two parts. One part has a length of $\bm{x}$ inches, and the other part has a length of $\bm{y}$ inches. The value of $\bm{x}$ is 6 more than 4 times the value of $\bm{y}$. What is the value of $\bm{x}$?
Math
Algebra
$\begin{tabular}{|c|c|} \hline $h$ & $f(h)$ \\ \hline
1 & 155 \\ \hline
3 & 285 \\ \hline \end{tabular}$
There is a linear relationship between $h$ and $f(h)$. Which equation represents this relationship?
Math
Algebra
**Figure Captions**
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Math
Algebra
$\begin{tabular}{|l|c|c|} \hline \multicolumn{3}{|l|}{Energy per Gram of Typical Macronutrients} \\ \hline Macronutrient & Food calories & Kilojules \\ \hline Protein & 4.0 & 16.7 \\ \hline Fat & 9.0 & 37.7 \\ \hline Carbohydrate & 4.0 & 16.7 \\ \hline \end{tabular}$ The table above gives the typical amounts of energy per gram, expressed in both food calories and kilojules, of the three macronutrients in food. If $x$ food calories is equivalent to $k$ kilojules, of the following, which best represents the relationship between $x$ and $k$ ?
Math
Algebra
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?
Math
Algebra
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 $t$ ?
Math
Algebra
The function $g$ is defined as $g(x)=5x+a$, where $a$ is a constant. If $g(4)=31$, what is the value of $a$ ?
Math
Algebra
$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?
Math
Algebra
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?
Math
Algebra
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 $n$?
Math
Algebra
$s=40+3t$
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?
Math
Algebra
$$F(x)=\frac{9}{5}(x-273.15)+32$$
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?
Math
Algebra
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