Heart of Algebra: Linear Functions — Quiz 2

Questions in this quiz (10)

1. The function $$f$$ is defined by $$f(x)=60-5x$$. What is the value of $$f(8)$$?

   • $$10$$
   • $$20$$
   • $$30$$
   • $$40$$

2. The table shows a linear relationship between the number of cars $$c$$ and the number of passengers $$p$$. Which equation represents this relationship?

   • $$55c-p=-10$$
   • $$55c-p=10$$
   • $$50c-p=-20$$
   • $$50c-p=20$$

3. The function $$h$$ is defined by $$h(x)=3x+15$$. The graph has an $$x$$-intercept at $$(a,0)$$ and a $$y$$-intercept at $$(0,b)$$. What is the value of $$a+b$$?

   • $$10$$
   • $$12$$
   • $$15$$
   • $$18$$

4. A company models the amount of water remaining in a tank with the equation $$y=200-20x$$, where $$x$$ is time in hours. What is the best interpretation of the $$x$$-intercept?

   • The tank starts with 200 gallons of water
   • The tank empties after 10 hours
   • The tank loses 20 gallons per hour
   • The tank has 20 gallons after 1 hour

5. The function $$f$$ is defined by $$f(x)=\frac{x+12}{4}$$, and $$f(a)=5$$. What is the value of $$a$$?

   • $$4$$
   • $$8$$
   • $$20$$
   • $$28$$

6. For the function $$f$$, $$f(cx)=x-6$$, where $$c$$ is a positive constant. If $$f(3)=9$$, what is the value of $$c$$?

   • 1/5

7. The graph of the linear equation representing this relationship passes through the point $$(2,a)$$. What is the value of $$a$$?

   • 6

8. The function $$F$$ is defined by $$F(x)=\frac{5}{9}(x-32)$$. If a temperature increases by $$18$$ degrees Fahrenheit, by how many degrees does the temperature increase in the new unit?

   • $$8$$
   • $$10$$
   • $$12$$
   • $$15$$

9. Some values of the linear function $$f$$ are shown in the table above. What is the value of $$f(4)$$?

   • $$9$$
   • $$10$$
   • $$11$$
   • $$12$$

10. The function $$f$$ is defined by $$f(x)=2x+180$$. The function $$f$$ represents the perimeter, in centimeters, of a rectangle with length $$x$$ cm and a fixed width. What is the width, in cm, of the rectangle?

    • 2
    • 45
    • 90
    • 180