Seventh Grade Mathematics Quiz

What is the constant of proportionality between the volume and mass of helium if 5 grams of helium has a volume of 28 liters?

• 5.6 liters per gram

• 5 grams per liter

• 28 liters per gram

• 0.18 grams per liter

What does the constant of proportionality represent in the context of helium's volume and mass?

• The mass of one liter of helium

• The total volume of helium

• The volume of one gram of helium

• The total mass of helium

Which of the following points would lie on the graph representing the relationship between mass and volume of helium?

• (25, 100)

• (10, 56)

• (5, 30)

• (15, 70)

What equation represents the relationship between the mass (m) and volume (v) of helium?

• v = m + 5.6

• v = m/5.6

• v = 28m

• v = 5.6m

In the balanced hanger problem, what does the stack of seven blue blocks represent?

• x

• 3

• 7

• 2x

What does the equation 7 = 2x + 3 represent in the context of the balanced hanger?

• The difference between both sides

• The total weight on the left side

• The total weight on the right side

• The balance between both sides

What is the first step to isolate x in the equation 5x + 2 = 17?

• Add 2 to both sides

• Divide both sides by 5

• Subtract 2 from both sides

• Multiply both sides by 5

After removing 2 from both sides of the equation 5x + 2 = 17, what is the resulting equation?

• 5x = 15

• 5x = 19

• x = 3

• x = 5

What is the value of x when the equation 5x = 15 is solved?

• x = 1

• x = 5

• x = 3

• x = 15

Which equation correctly represents the final hanger with an x on the left and a 3 on the right?

• x = 15

• x = 3

• x = 5

• x = 1