Math Review-functions, pyth, volume

Michael and Abigail are building a treehouse and need to find the length of the ladder that will perfectly fit from the ground to the platform. The platform is 6 feet high, and the base of the ladder is 4 feet away from the tree. Can you help them find the length of the ladder?

• 3√3 - 3√2

• 2√13

• 4√3

• 4√2

8. {MCC.8.F.1,2} Abigail and Arjun are exploring a mysterious function table. Can you help them identify the domain of the function below?

• {2, 5, 9, 17, 20}

• {-2, 0, 2, 4, 6}

• {4, 5, 6, 7, 8}

• {8, 10, 12, 14, 18}

9. {MCC.8.F.1,2} Identify the range of the function below:

• {2, 5, 9, 17, 20}
• {-2, 0, 2, 4, 6}
• {4, 5, 6, 7, 8}
• {8, 10, 12, 14, 18}

Use the Pythagorean Theorem to determine if a triangle with side lengths 5ft., 5ft., 12ft. is a right triangle.

• Yes it is a right triangle
• No it is not a right triangle

Samuel and Liam are building a giant ice cream cone for their school project! The cone has a radius of 11 feet and a height of 12 feet. Can you help them find the volume of their delicious creation in cubic feet?

• 1496.3

• 1520.5

• 1728.3

• 1812.0

Scarlett and Zoe are having a friendly debate about the graph below. Scarlett thinks it represents a function, while Zoe disagrees. Who do you think is right?

• Scarlett is right, it is a function

• Zoe is right, it is not a function

Anika is trying to solve a puzzle where she needs to find the value of a mysterious function f(x) = 4x - 3. Can you help her figure out what the value is when x = -1?

• 5

• -3

• -7

• 3

Abigail, Olivia, and Emma are exploring the world of functions in their math class. They stumbled upon a mysterious set of relations and need your help to identify which one is a function. Can you assist them?

• {(2,3), (5,8), (–4,–1), (9,7), (2,1)}

• {(2,3), (5,8), (–4 –1), (9,7), (5,7)}

• {(2,3), (5,8), (–4,–1), (5,7), (–2,1)}

• {(2,3), (5,8), (–4,–1), (9,7), (–2,1)}

Emma and Noah are planning a hiking trip and they want to find the slope of the hill they will climb. The hill starts at point (-3,3) and ends at point (5,10). Can you help them calculate the slope?

• A. \(\frac{8}{1}\)

• B. \(\frac{3}{2}\)

• C. \(\frac{1}{2}\)

• D. \(\frac{7}{8}\)

Determine the slope and y-intercept of the graph below. Then write the equation.

• y = -2x + 4
• y = -3x + 4
• y = -2x + 3
• y = -½x + 4