Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out.

1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true.

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2. Simplify both sides. Show your work.

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3. Is x = 6 a solution to the equation? Why or why not?

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4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

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At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.