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Mathematics, 06.05.2021 21:50 Jasten

Question 1 Part A: Explain why x = 3 makes 4x − 1 ≤ 11 true but not 4x − 1 < 11. (5 points)

Part B: What value from the set {4, 5, 6, 7, 8} makes the equation 8x + 1 = 57 true? Show your work. (5 points)

Question 2
A theater company has raised $870.75 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)

Question 3
A boating company has the following notice at the gate:

"Children under the age of 13 are not allowed to operate a boat."

Part A: Write an inequality to show the age of children who are allowed to operate a boat. (5 points)

Part B: Describe in words how you can show the solution to this inequality on a number line. (5 points)

Question 4

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)

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Answers: 1

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Question 1 Part A: Explain why x = 3 makes 4x − 1 ≤ 11 true but not 4x − 1 < 11. (5 points)
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