Part a: explain why x = 6 makes 4x − 5 ≤ 19 true but not 4x − 5 < 19. (5 points)

part b: what value from the set {4, 5, 6, 7, 8} makes the equation 4x + 3 = 23 true? show your work. (5 points)

2.
(07.04 mc)
a theater company has raised $930.75 by selling 25 floor seat tickets. each ticket costs the same.

part a: write an equation with a variable that can be solved to correctly find the price of each ticket. explain how you created this equation. (5 points)

part b: solve your equation in part a to find the price of each floor seat ticket. how do you know your solution is correct? (5 points)

3.
(07.06 mc)
a county has the following rule for voting:

"citizens under the age of 18 are not allowed to vote."

part a: write an inequality to show the age of citizens who are allowed to vote. (5 points)

part b: describe in words how you can show the solution to this inequality on a number line. (5 points)

4.
(07.07, 07.08 hc)
sue earns $6 an hour walking her neighbor's dog.

part a: create two variables and determine which is dependent and which is independent for this situation. (4 points)

part b: list three ordered pairs to show the values of the two variables. (3 points)

part c: write an equation to represent the relationship between the two variables. (3 points)