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Home
SAT
Math Section
Algebra

Set - 4

Premium Content

Chief Editor

Mar 28, 2024

0

Table of Contents

$$y\leq x+7$<br/><br/>$y\geq-2x-1$<br/><br/>Which point $x,y$ is a solution to the given system of inequalities in the $xy$-plane?$
$A team of workers has been moving cargo off of a ship. The equation below models the approximate number of tons of cargo, $y$, that remains to be moved $x$ hours after the team started working.<br/><br/>$y=120-25x$<br/><br/>The graph of this equation in the $xy$-plane is a line. What is the best interpretation of the $x$-intercept in this context?$
$$y=2x+10$<br/><br/>$y=2x-1$<br/><br/>At how many points do the graphs of the given equations intersect in the $xy$-plane?$
$An employee at a restaurant prepares sandwiches and salads. It takes the employee 1.5 minutes to prepare a sandwich and 1.9 minutes to prepare a salad. The employee spends a total of 46.1 minutes preparing $\bm{x}$ sandwiches and $\bm{y}$ salads. Which equation represents this situation?$
$$$F(x)=\frac{9}{5}(x-273.15)+32$$<br/><br/>The function $F$ gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of $x$ kelvins. If a temperature increased by $9.10$ kelvins, by how much did the temperature increase, in degrees Fahrenheit?$
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$The function $f$ is defined by $f(x)=7x-84$. What is the $x$-intercept of the graph of $y=f(x)$ in the $xy$-plane?$
$$x=10$<br/><br/>$y=x+21$<br/><br/>The solution to the given system of equations is $(x,y)$. What is the value of $y$?$
$$$y=-\frac{1}{9}\,x$$<br/><br/>$$y=\frac{1}{2}\,x$$<br/><br/>The solution to the given system of equations is $(x,y)$. What is the value of $x$?$
$A salesperson's total earnings consist of a base salary of $\bm{x}$ dollars per year, plus commission earnings of 11% of the total sales the salesperson makes during the year. This year, the salesperson has a goal for the total earnings to be at least 3 times and at most 4 times the base salary. Which of the following inequalities represents all possible values of total sales $\bm{s}$, in dollars, the salesperson can make this year in order to meet that goal?$
$Which of the following is equivalent to $Ax+G=12$?$
$One pound of grapes costs $2. At this rate, how many dollars will c pounds of grapes cost?$
$A bus traveled on the highway and on local roads to complete a trip of 160 miles. The trip took 4 hours. The bus traveled at an average speed of 55 miles per hour (mph) on the highway and an average speed of 25 mph on local roads. If $\bm{x}$ is the time, in hours, the bus traveled on the highway and $\bm{y}$ is the time, in hours, it traveled on local roads, which system of equations represents this situation?$
$Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?$
$$y=2x+3$<br/><br/>$x=1$<br/><br/>What is the solution $(X,y)$ to the given system of equations?$

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$y\leq x+7$$y\geq-2x-1$Which point $(x,y)$ is a solution to the given system of inequalities in the $xy$-plane?

Difficulty: Hard

Bookmark

A:

$(-14,0)$

B:

$(0,-14)$

C:

$(0,14)$

D:

$(14,0)$

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