7th Grade Math: Adding and Subtracting Rational Expressions

This video tutorial covers various math problems from a calculator section of a state test. It includes calculating the number of plants per square foot, understanding opposites on a number line, and solving map scale problems using proportions. The video emphasizes showing work and creating equations to model relationships, with a focus on unit rates and inequalities.

How many plants grew per square foot in the experiment?

• 16 plants per square foot

• 4 plants per square foot

• 1.6 plants per square foot

• 0.4 plants per square foot

What equation models the relationship between the square feet (X) and the number of plants (Y)?

• Y = 0.4X

• Y = 4X

• Y = X/0.4

• Y = X/4

What is the value of point P on the number line?

• 3

• 1.5

• 2.5

• 2

Where is point Q located on the number line?

• -2

• 2.5

• 2

• -2.5

Is the student's claim that point S is to the right of point P correct?

• Cannot be determined

• Yes

• No

• Irrelevant to the problem

What inequality describes the relationship between point P and point S?

• P > S

• P < S

• P = S

• P >= S

How many centimeters on the map represent an actual distance of 5 kilometers?

• 10 cm

• 12.5 cm

• 5 cm

• 2.5 cm

What is the actual distance represented by 2 cm on the map?

• 5 km

• 2 km

• 1 km

• 0.8 km

What is the unit rate used in the map scale?

• 2.5 km per cm

• 2 km per 5 cm

• 1 km per cm

• 5 km per cm

If 5 cm on the map equals 2 km in reality, how many kilometers would 10 cm represent?

• 4 km

• 5 km

• 20 km

• 10 km