Alg2 Rationals Review with Application Problems

Front

What is the formula for calculating speed in relation to distance and time?

Back

Speed = Distance / Time

Front

Define 'inversely proportional' in the context of electrical circuits.

Back

Two quantities are inversely proportional if an increase in one results in a decrease in the other, such that their product is constant.

Front

If Karen rows downstream at 10 km/h and the current is 5 km/h, what is her effective speed downstream?

Back

Effective speed downstream = 10 km/h + 5 km/h = 15 km/h.

Front

If Karen rows upstream at 10 km/h and the current is 5 km/h, what is her effective speed upstream?

Back

Effective speed upstream = 10 km/h - 5 km/h = 5 km/h.

Front

What is the relationship between current (I), voltage (V), and resistance (R) in an electrical circuit?

Back

Ohm's Law: I = V / R.

Front

How do you check for extraneous solutions in an equation?

Back

Substitute the solution back into the original equation to verify if it holds true.

Front

What is the solution to the equation x + 5 = 5?

Back

x = 0.

Front

What does it mean to simplify an expression?

Back

To reduce an expression to its simplest form by combining like terms and eliminating unnecessary components.

Front

What is the effective speed of a boat rowing upstream if it takes 6 hours to cover a distance of 30 km?

Back

Effective speed upstream = Distance / Time = 30 km / 6 hours = 5 km/h.

Front

What is the effective speed of a boat rowing downstream if it takes 2 hours to cover a distance of 30 km?

Back

Effective speed downstream = Distance / Time = 30 km / 2 hours = 15 km/h.