Practice - Algebra 1

1.9.5 Practice

1.9.5 • Practice

Complete the following questions to practice the skills you have learned in this lesson.

For numbers 1 – 9, use the following scenario:
A car has a 16-gallon fuel tank. When driven on a highway, it has a gas mileage of 30 miles per gallon. The gas mileage (also called "fuel efficiency") tells us the number of miles the car can travel for a particular amount of fuel (one gallon of gasoline, in this case). After filling the gas tank, the driver got on a highway and drove for a while.

How many miles has the car traveled if it has 15 gallons left in the tank?

How many miles has the car traveled if it has 10 gallons left in the tank?

How many miles has the car traveled if it has 2.5 gallons left in the tank?

Choose the equation that represents the relationship between the distance the car has traveled in miles, $d$ , and the amount of gas left in the tank in gallons, $x$ .

$x=\frac{30}{d-480}$
$d=30(16-x)$
$x=\frac{d-480}{-30}$
$d=16(30-x)$

How many gallons are left in the tank when the car has traveled 90 miles?

How many gallons are left in the tank when the car has traveled 246 miles?

Choose an equation that makes it easier to find the amount of gas left in the tank, $x$ , if we know the car has traveled $d$ miles.

$x=\frac{30}{d-480}$
$d=30(16-x)$
$x=\frac{d-480}{-30}$
$d=16(30-x)$

Noah was helping to collect the entry fees at his school's football game. Student entry costs $2.75 each and adult entry costs $5.25 each. By the end of the game, Diego had collected $281.25.

Select two equations that could represent the relationship between the number of students, $s$ , the number of adults, $a$ , and the dollar amount collected at the game.

$281.25 - 5.25a=2.75s$
$a=53.57- \frac{2.75}{5.25}s$
$x - 2 =4$
$x - 2 = 12$
$x -6 = 4$