Algebra - Set - 4 | SAT Math Section

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Mar 28, 2024

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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

$(-14,0)$

$(0,-14)$

$(0,14)$

$(14,0)$

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. $y=120-25x$ The graph of this equation in the $xy$-plane is a line. What is the best interpretation of the $x$-intercept in this context?

Difficulty: Medium

The team will have moved all the cargo in about 4.8 hours.

The team has been moving about 4.8 tons of cargo per hour.

The team has been moving about 25 tons of cargo per hour.

The team started with 120 tons of cargo to move.

$y=2x+10$ $y=2x-1$ At how many points do the graphs of the given equations intersect in the $xy$-plane?

Difficulty: Medium

Zero

Exactly one

Exactly two

Infinitely many

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?

Difficulty: Easy

1.9\bm{x}+1.5\bm{y}=46.1

1.5\bm{x}+1.9\bm{y}=46.1

\bm{x}+\bm{y}=46.1

30.7\bm{x}+24.3\bm{y}=46.1

$$F(x)=\frac{9}{5}(x-273.15)+32$$The function $F$ gives the temperature, in degrees Fahrenheit, that corresponds to a temperature of $x$ kelvins. If a temperature increased by $9.10$ kelvins, by how much did the temperature increase, in degrees Fahrenheit?

Difficulty: Hard

$16.38$

$48.38$

\(475.29\)

$507.29$

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