Lesson 2.9 HW quiz

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 of gas left in the tank?

• 30

• 180

• 90

• 10

Tags

CCSS.4.MD.A.2

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. After filling the gas tank, the driver got on a highway and drove for a while.

What equation can 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.

• 
  

  $d=\left(16-x\right)30$
  

• $d=16-30x$

• $d=30\left(16+x\right)$

• $d=16x-30$

Tags

CCSS.4.MD.A.2

The area A of a rectangle is represented by the formula A-lw, where l  is the length and w is the width. The length of the rectangle is 5.
Select all equations that makes it easy to find the width of the rectangle if we know the area and the length.

•  $w=\frac{A}{l}$  

•  $w=\frac{A}{5}$  

•  $w=A\cdot l$  

•  $w=\frac{5}{l}$  

Tags

CCSS.HSA.CED.A.4

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

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

• $281.25-5.25a=2.75s$

• $a=53.57-\frac{2.75}{5.25}s$

• $281.25-5.25s=a$

• $281.25+2.75a=s$

• $281.25+5.25s=a$

Tags

CCSS.6.EE.C.9

  $V=\pi r^2h$  is an equation to calculate the volume of a cylinder, V, where r represents the radius of the cylinder and h represents its height.Which equation allows us to easily find the height of the cylinder because it is solved for h?

•  $r^2h=\frac{V}{\pi}$  

•  $h=V-\pi r^2$  

•  $h=\frac{V}{\pi r^2}$  

•  $\pi h=\frac{V}{r^2}$  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The data represents the number of hours 10 students slept on Sunday night.

6 6 7 7 7 8 8 8 8 9

Are there any outliers?

• Yes

• No

Tags

CCSS.HSS.ID.A.3

The table shows the volume of water in cubic meters, V, in a tank after water has been pumped out for a certain number of minutes.

Which equation could represent the volume of water in cubic meters after t minutes of water being pumped out?

• 
  

  $V=30-2.5t$
  

• $V=30-0.5t$

• $V=30-0.5t^2$

• $V=30-0.1t^2$

Tags

CCSS.4.MD.A.2

A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seat 10 people.

Find a combination of small and large tables that seats exactly 150 people.

• 10 small tables and 9 large tables

• 12 small tables and 7 large tables

• 15 small tables and 7 large tables

• 5 small tables and 11 large tables

Tags

CCSS.4.MD.A.2

A catering company is setting up for a wedding. They expect 150 people to attend. They can provide small tables that seat 6 people and large tables that seat 10 people.

Let x represent the number of small tables and y represent the number of large tables. What equation to represent the relationship between x and y.

• 
  

  $6x+10y=150$
  

• $14x+2y=150$

• $10x+6y=150$

• $12x+20y=150$

Tags

CCSS.HSA.CED.A.2