The graphs of the functions f(x)= |x-3| + 1
and g(x) = 2x + 1 are drawn.
Which statement about these
functions is true?
1) The solution to f(x) = g(x) is 3.
2) The solution to f(x)= g(x) is 1.
3) The graphs intersect when y= 1.
4) The graphs intersect when x = 3.

Karianne and lucius are analyzing a linear function on a graph. karianne says that unit rate is equal to rate of change, but that slope is calculated differently. lucius says that unit rate, rate of change, and slope are calculated the same way. who is correct? explain your answer.

Which expression is equivalent to 3^3 + 2^2?

Damon makes 20 cups of lemonade by mixing lemon juice and water. the ratio of lemon juice to water is shown in the tape diagram. lemon juice\text{lemon juice} lemon juice water\text{water} water how much lemon juice did damon use in the lemonade? cups