sat-dog

The table above shows the coordinates of three points on a line in the xy-plane, where k and n are constants. If the slope of the line is 2, what is the value of  ?

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

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

Vivian bought party hats and cupcakes for $\$71$. Each package of party hats cost $\$3$, and each cupcake cost $\$1$. If Vivian bought $10$ packages of party hats, how many cupcakes did she buy?

The graph shows the linear relationship between $x$ and $y$. Which table gives three values of $x$ and their corresponding values of $y$ for this relationship?

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?

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 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/ft³), 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 ft³, for each of the other rock types used?

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

If is the solution to the given system of equations, what is the value of y ?

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

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

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?

$5x+7y=1$

$ax+by=1$

In the given pair of equations, $a$ and $b$ are constants. The graph of this pair of equations in the xy-plane is a pair of perpendicular lines. Which of the following pairs of equations also represents a pair of perpendicular lines?

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 ?

A business owner plans to purchase the same model of chair for each of the $81$ employees. The total budget to spend on these chairs is $\$\mathrm{14,000}$, which includes a $7\%$ sales tax. Which of the following is closest to the maximum possible price per chair, before sales tax, the business owner could pay based on this budget?

$y=-3x$

$4x+y=15$

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

$5G+45R=380$

At a school fair, students can win colored tokens that are worth a different number of points depending on the color. One student won $G$ green tokens and $R$ red tokens worth a total of $380$ points. The given equation represents this situation. How many more points is a red token worth than a green token?

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?

Store A sells raspberries for $\$5.50$ per pint and blackberries for $\$3.00$ per pint. Store B sells raspberries for $\$6.50$ per pint and blackberries for $\$8.00$ per pint. A certain purchase of raspberries and blackberries would cost $\$37.00$ at Store A or $\$66.00$ at Store B. How many pints of blackberries are in this purchase?

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?

If , what is the value of x ?

Which of the following systems of linear equations has no solution?

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?

Which of the following systems of linear equations has no solution?