8th grade

Front

Which runner had a head start?

Back

The runner with a head start is the one who began the race ahead of the others, in this case, Runner B.

Front

What is the simplified form of the expression (2^4)^7?

Back

The simplified form is 2^28, using the power of a power property of exponents.

Front

What does it mean when a graph shows a student jogging, stopping to tie their shoe, and then continuing?

Back

It indicates that the student had periods of different speeds: jogging, stopping, and then jogging again at the same pace.

Front

What is the result of 3^7 + 3^7 + 3^7?

Back

The result is 3^8, as you can factor out 3^7 from the expression.

Front

What is the best estimate for the number 6.782...?

Back

The best estimate is 6.782, as it is the closest approximation.

Front

Define exponentiation.

Back

Exponentiation is a mathematical operation involving two numbers, the base and the exponent, where the base is multiplied by itself as many times as indicated by the exponent.

Front

What is a plausible story for a graph showing a student jogging, stopping, and then continuing?

Back

A plausible story is that the student was jogging from school to home, stopped to tie their shoe and take a drink, then continued jogging.

Front

What is the power of a power property in exponents?

Back

The power of a power property states that (a^m)^n = a^(m*n).

Front

What does it mean for a car to slow down and then stop in a graph?

Back

It indicates that the car's speed decreased over time until it came to a complete stop.

Front

What is the definition of a head start in a race?

Back

A head start is when one competitor begins the race ahead of the others, giving them an advantage.