Question

Nathan and his brother Zach love to play video games. Right now, Nathan's score is 11 less than 2 times Zach's score.-example, if Zach has 80 points, then Nathan has 149 points. Find four more possibilities for the brothers' scores and fir he table below. Then write a rule relating Nathan's score, N, to Zach's score, Z.

Answer 1

Zach's score, Z, and Nathan's score, N, are related by the formula

2Z-11=N.

This is further explained below.

What are algebraic expressions?

Generally, Assume Nathan has a score of N and Zach has a score of Z.

Zach's score is 11 points higher than Nathan's.

It implies,

N equals twice of Z minus 11.

We may format it as follows:

2Z - 11 = N

There are now four possible outcomes for these two brothers' scores:

Zach's score will be determined using algebraic formulas if Nathan's score is 81.

2Z - 11 = 81

2Z = 92

Z = 46

Zach's score will be 61 if Nathan receives a score of 111.

Zach's score will be 121 if Nathan's score is 231 or higher.

Zach's score will be 456 if Nathan's score is 901.

The formula 2Z - 11 = Z is a rule that connects Nathan's and Zach's scores.

Visit to learn more about algebraic expressions.

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