$$8x+7y=9$$ $$24x+21y=27$$

For each real number $r$, which of the following points lies on the graph of each equation in the $xy$-plane for the given system?

$y=2x+1$

$y=ax-8$

In the system of equations above, $a$ is a constant. If the system of equations has no solution, what is the value of $a$?

$x+y=20$

$2(x+y)+3y=85$

If $(x,y)$ is the solution to the given system of equations, what is the value of $y$?

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

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$^{3}$), and the cost per pound, in dollars. Only basalt, granite, and limestone will be used in the garden. The rocks in the garden will have a total weight of 1,000 pounds. If 330 pounds of granite is used, which of the following equations could show the relationship between the amounts, $x$ and $y$, in ft$^{3}$, for each of the other rock types used?

The table above shows some pairs of $x$ values and $y$ values. Which of the following equations could represent the relationship between $x$ and $y$?

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 line in the $xy$-plane has a slope of $\frac{1}{9}$ and passes through the point $(0,14)$. Which equation represents this line?

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

In the $xy$-plane, line $k$ passes through the points $(0,-5)$ and $(1,-1)$. Which equation defines line $k$?

If $\dfrac{2n}{5}=10$, what is the value of $2n-1$? 

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?

If $\frac{x+6}{3}=\frac{x+6}{13}$, the value of $x+6$ is between which of the following pairs of values?

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 $a$?

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 $\$881$. If $b$ represents the number of outfits the dance teacher ordered for boys and $g$ represents the number of outfits the dance teacher ordered for girls, which of the following systems of equations can be solved to find $b$ and $g$? 

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 $n$?

$6x+7y=28$

$2x+2y=10$

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

Which of the following ordered pairs $(x,y)$ satisfies the inequality $5x-3y<4$?

I. $(1,1)$

II. $(2,5)$

III. $(3,2)$

$$-3x+21px=84$$

In the given equation, $p$ is a constant. The equation has no solution. What is the value of $p$?

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$^{3}$), 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 ft$^{3}$ 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?

Normal body temperature for an adult is between 97.8${}^{\circ}$F and 99${}^{\circ}$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?

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 $\bm{x}$?

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

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

If $4x-\frac{1}{2}=-5$, what is the value of $8x-1$? 

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 $k$?