Tad performs in many dance competitions. His routine is a total of 70 feet long. Tad does eight "super-duper jumps," all the same length, then moonwalks backward two feet.

Question

If x is the length of one "super-duper jump," and 2x is the length of two "super-duper jumps," which expression represents Tad's routine?

Answer 1

Tad's routine can be expressed as follows:

1. The total number of "super-duper jumps" is 8, so the total length of these jumps is \(8x\), where \(x\) is the length of one "super-duper jump."
2. After performing the jumps, Tad moonwalks backward for 2 feet.

The total length of his routine can be expressed as:

\[ 8x - 2 \]

This expression accounts for the total distance covered by the jumps minus the 2 feet that he moves backward.

Since Tad's total routine length is 70 feet, we can further set up the equation:

\[ 8x - 2 = 70 \]

This captures the entire routine involving his jumps and moonwalk.

Thus, the expression that represents Tad's routine is:

\[ 8x - 2 \]